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Electricity and Magnetism

Superconductivity

Introduction

Imagine being able to ride a bike forever down a perfect road without needing to move the pedals. No wind resistance, no friction, no traffic getting in your way. That is what electric conduction turns into in a superconducting material. While electrons normally hit atoms at some points, under certain conditions and in some very special compounds, they can just run through the lattice with no losses.

History

The phenomenom of perfect conduction was first reported by Dutch scientist Kamerlingh Onnes at the University of Leiden in the Netherlands in 1911.¹ He managed to liquify Helium and could then freeze Mercury to only a few degrees Kelvin. At this temperature, current could be sent through a wire with no observed resistance.² Onnes called this characteristic suprageleider, which was later translated into superconductor.³

A milestone in supeconductivity research came in 1933 with the discovery of the Meissner Effect. Two German researchers, Meissner and Ochsenfeld found that a superconducting compound will completely exclude magnetic fields, thus creating an upward force on a magnet called magnetic levitation.⁴

Figure 1. A superconductor levitating an external magnet.⁵

Why materials could behave this way when cooled was still unknown to science until the theory of Cooper pairs or the BCS theory were introduced by Bardeen, Cooper and Schrieffer in 1957.⁴ This is based on a rather complex quantum: coupling of two electrons with opposite momentum and spins.⁶

Due to the extreme costs accrued by cooling down to only a few degrees above absolute zero temperature, superconductivity remained a rather academic interest until the discovery of so called High Temperature Superconductors (HTS) in 1986 by two researchers at IT giant IBM.⁷ These special substances, most often compounds with Barium and/or Strontium, had a critical temperature up to 130 - 140 K. It should be noted that none of these materials occur naturally; they have to be manufactured using a special procedure.⁷

Recent years have seen another wave of discoveries of previously unknown superconductors, including a very recent revelation of of a special type of hydrogen sulfide capable of superconducting up to -70 degrees Centigrade.⁸

Research on superconducting materials and applications has yielded Nobel Prizes to Kamerlingh Onnes in 1913, Bardeen, Cooper and Schieffer in 1972, Bednorz and Müller in 1987, and physics prizes in 1962, 1973, 1978, 1996 and 2003 were also related to superconductivity in materials.⁹

Applications

The most obvious application of superconducting materials would be the perfect cable, running with no resistance in an eternal circuit. The costs of cooling has kept this to the prototype stage, seeing some installations in Denmark, the United States and Germany, but still not in use on a big scale. This might come into effect more as superconducting materials can be manufactured more cheaply and cooling costs be reduced.

Magnetic levitation is used to create “flying” trains, where the car rides on a bed of superconductors and thus is suspended a distance above the line all the time. This has been tested extensively in Japan, and a line is being planned for construction with a target date for its completion of 2027.

To fulfil our mission of educating students, our homework help center is standing by 24/7, ready to assist students who need study help with electricity and magnetism

References

van Delft, D. and Kes, P.: The Discovery of Superconductivity. Physics Today, September 2010, pp. 38-43.
Slichter, C.: Introduction to the History of Superconductivity. American Institute of Physics, https://www.aip.org/history/mod/superconductivity/01.html .
Superconductivity entry at reference.com, http://dictionary.reference.com/browse/superconductor
Dull, Robert W. A Teacher’s Guide to Superconductivity for High School Students - Historical Background. Oak Ridge National Laboratory, http://web.ornl.gov/info/reports/m/ornlm3063r1/pt2.html
Magnetic Levitation – Wikipedia, the free Encyclopedia, https://en.wikipedia.org/wiki/Magnetic_levitation
Timm, C.: Theory of Superconductivity. Technical University of Dresden, http://www.physik.tu-dresden.de/~timm/personal/teaching/thsup_w11/Theory_of_Superconductivity.pdf
High-temperature Superconductivity - Wikipedia, the free Encyclopedia, https://en.wikipedia.org/wiki/High-temperature_superconductivity
Choi, Charles Q.: New Temperature Record is Huge Achievement for Superconducting, Live Science, http://www.livescience.com/51877-superconductors-new-temperature-record.html
Nobel Laureates in Superconductivity. IEEE Council on Superconductivity, http://ieeecsc.org/pages/nobel-laureates-superconductivity

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Illuminate\Cache\Events\CacheHit (180μs)
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Illuminate\Cache\Events\CacheHit (8.36ms)
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Illuminate\Cache\Events\CacheHit (269μs)
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Illuminate\Cache\Events\CacheHit (204μs)
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Illuminate\Cache\Events\CacheHit (153μs)
Illuminate\Cache\Events\CacheHit (171μs)
Illuminate\Cache\Events\CacheHit (313μs)
creating: site.blocks.subject-homework (10.39ms)
composing: site.blocks.subject-homework (35μs)
eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (520μs)
eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (141μs)
Illuminate\Database\Events\StatementPrepared (7.37ms)
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Illuminate\Database\Events\StatementPrepared (1.29ms)
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eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (147μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (26μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (15μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (14μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (13μs)
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Illuminate\Database\Events\StatementPrepared (6.3ms)
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eloquent.retrieved: App\Models\Subject (136μs)
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eloquent.retrieved: App\Models\SubjectCat (630μs)
creating: components.homework-blocks (959μs)
composing: components.homework-blocks (131μs)
creating: site.blocks.reviews (1.56ms)
composing: site.blocks.reviews (26μs)
creating: site.blocks.submit-homework (358μs)
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eloquent.booting: App\Models\Twill\TwillFaq (543μs)
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eloquent.retrieved: App\Models\Twill\Slugs\TwillFaqSlug (192μs)
eloquent.retrieved: App\Models\Twill\Slugs\TwillFaqSlug (30μs)
creating: components.faq-item (183μs)
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Illuminate\Database\Events\StatementPrepared (1.77ms)
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eloquent.retrieved: App\Models\Twill\TwillFaq (216μs)
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eloquent.retrieved: App\Models\Twill\Slugs\TwillFaqSlug (141μs)
eloquent.retrieved: App\Models\Twill\Slugs\TwillFaqSlug (60μs)
creating: components.faq-item (97μs)
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Illuminate\Database\Events\StatementPrepared (1.32ms)
Illuminate\Database\Events\QueryExecuted (943μs)
eloquent.retrieved: App\Models\Twill\TwillFaq (264μs)
Illuminate\Database\Events\StatementPrepared (5.96ms)
Illuminate\Database\Events\QueryExecuted (1.5ms)
eloquent.retrieved: App\Models\Twill\Slugs\TwillFaqSlug (101μs)
creating: components.faq-item (106μs)
composing: components.faq-item (61μs)
Illuminate\Database\Events\StatementPrepared (1.59ms)
Illuminate\Database\Events\QueryExecuted (1.17ms)
eloquent.retrieved: App\Models\Twill\TwillFaq (130μs)
Illuminate\Database\Events\StatementPrepared (824μs)
Illuminate\Database\Events\QueryExecuted (1.15ms)
eloquent.retrieved: App\Models\Twill\Slugs\TwillFaqSlug (82μs)
creating: components.faq-item (85μs)
composing: components.faq-item (42μs)
creating: site.blocks.text-with-image (270μs)
composing: site.blocks.text-with-image (22μs)
creating: site.blocks.work-with-tutors (331μs)
composing: site.blocks.work-with-tutors (17μs)
creating: site.layouts.app (397μs)
composing: site.layouts.app (20μs)
creating: components.canonical (409μs)
composing: components.canonical (103μs)
creating: components.open-graph (241μs)
composing: components.open-graph (82μs)
creating: site.headers.header (275μs)
composing: site.headers.header (265μs)
Illuminate\Cache\Events\CacheHit (5.53ms)
creating: components.footer (151μs)
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Illuminate\Cache\Events\CacheHit (9.48ms)
Illuminate\Cache\Events\CacheHit (325μs)
Illuminate\Cache\Events\CacheHit (463μs)
Illuminate\Cache\Events\CacheHit (401μs)
Illuminate\Cache\Events\CacheHit (471μs)
Illuminate\Cache\Events\CacheHit (213μs)
Illuminate\Cache\Events\CacheHit (257μs)
Illuminate\Cache\Events\CacheHit (565μs)
Illuminate\Cache\Events\CacheHit (455μs)
Illuminate\Cache\Events\CacheHit (609μs)
Illuminate\Cache\Events\CacheHit (248μs)
Illuminate\Cache\Events\CacheHit (332μs)
Illuminate\Cache\Events\CacheHit (215μs)
Illuminate\Cache\Events\CacheHit (261μs)
creating: components.forms.contact-us (290μs)
composing: components.forms.contact-us (191μs)
creating: components.forms.get-started (185μs)
composing: components.forms.get-started (81μs)
creating: components.forms.free-tool-download (440μs)
composing: components.forms.free-tool-download (157μs)
creating: components.forms.claim-free-worksheet (146μs)
composing: components.forms.claim-free-worksheet (86μs)
creating: components.forms.tutor-subscription-waitlist (564μs)
composing: components.forms.tutor-subscription-waitlist (75μs)
creating: components.forms.tutor-subscription-join (11.8ms)
composing: components.forms.tutor-subscription-join (139μs)
creating: components.forms.tutor-support (184μs)
composing: components.forms.tutor-support (118μs)

444 x Illuminate\Cache\Events\CacheHit (22.17%)	264ms
30 x Illuminate\Database\Events\StatementPrepared (11.46%)	137ms
30 x Illuminate\Database\Events\QueryExecuted (7.7%)	91.76ms
1 x creating: components.forms.tutor-subscription-join (0.99%)	11.80ms
1 x Illuminate\Foundation\Events\LocaleUpdated (0.96%)	11.45ms
1 x creating: site.blocks.subject-homework (0.87%)	10.39ms
7 x Illuminate\Cache\Events\CacheMissed (0.7%)	8.30ms
6 x creating: components.tutors-card (0.57%)	6.77ms
7 x Illuminate\Cache\Events\KeyWritten (0.41%)	4.83ms
2 x Illuminate\Database\Events\ConnectionEstablished (0.2%)	2.39ms
9 x eloquent.retrieved: App\Models\SubjectCat (0.18%)	2.14ms
1 x creating: site.blocks.reviews (0.13%)	1.56ms
1 x creating: site.blocks.how-it-works (0.12%)	1.44ms
1 x creating: components.tutors-cards (0.12%)	1.41ms
1 x eloquent.booting: App\Models\User\TutorAttributes\TutorDegree (0.12%)	1.37ms
1 x creating: components.homework-blocks (0.08%)	959μs
1 x Illuminate\Routing\Events\Routing (0.08%)	928μs
4 x eloquent.retrieved: App\Models\Twill\TwillFaq (0.07%)	798μs
1 x creating: components.breadcrumbs (0.06%)	701μs
4 x composing: components.faq-item (0.06%)	681μs
1 x eloquent.booting: App\Models\Meta (0.05%)	641μs
6 x eloquent.retrieved: App\Models\Twill\Slugs\TwillFaqSlug (0.05%)	606μs
1 x composing: components.breadcrumbs (0.05%)	588μs
1 x creating: components.forms.tutor-subscription-waitlist (0.05%)	564μs
1 x eloquent.booting: App\Models\Twill\Slugs\TwillFaqSlug (0.05%)	547μs
6 x composing: components.tutors-card (0.05%)	545μs
1 x eloquent.booting: App\Models\Twill\TwillFaq (0.05%)	543μs
1 x Illuminate\Routing\Events\RouteMatched (0.05%)	541μs
1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (0.04%)	520μs
4 x creating: components.faq-item (0.04%)	471μs
1 x creating: components.forms.free-tool-download (0.04%)	440μs
1 x creating: components.canonical (0.03%)	409μs
1 x creating: site.layouts.app (0.03%)	397μs
6 x eloquent.retrieved: App\Models\User\Tutor (0.03%)	363μs
1 x creating: site.blocks.submit-homework (0.03%)	358μs
1 x composing: components.tutors-cards (0.03%)	346μs
1 x creating: site.blocks.work-with-tutors (0.03%)	331μs
1 x creating: components.forms.contact-us (0.02%)	290μs
2 x eloquent.retrieved: App\Models\Subject (0.02%)	284μs
1 x creating: site.headers.header (0.02%)	275μs
1 x creating: site.blocks.text-with-image (0.02%)	270μs
1 x composing: site.headers.header (0.02%)	265μs
1 x eloquent.booting: App\Models\Subject (0.02%)	257μs
1 x eloquent.booting: App\Models\User\Tutor (0.02%)	251μs
1 x creating: components.open-graph (0.02%)	241μs
6 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (0.02%)	239μs
1 x eloquent.booted: App\Models\Twill\Slugs\TwillFaqSlug (0.02%)	224μs
1 x eloquent.booted: App\Models\Twill\TwillFaq (0.02%)	201μs
1 x composing: components.forms.contact-us (0.02%)	191μs
1 x creating: site.blocks.subject-tutors (0.02%)	188μs
1 x eloquent.booted: App\Models\User\Tutor (0.02%)	185μs
1 x creating: components.forms.get-started (0.02%)	185μs
1 x creating: components.forms.tutor-support (0.02%)	184μs
1 x eloquent.booting: App\Models\SubjectCat (0.01%)	171μs
1 x composing: components.forms.free-tool-download (0.01%)	157μs
1 x composing: components.footer (0.01%)	153μs
1 x creating: components.footer (0.01%)	151μs
1 x creating: components.forms.claim-free-worksheet (0.01%)	146μs
1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (0.01%)	141μs
1 x composing: components.forms.tutor-subscription-join (0.01%)	139μs
1 x creating: site.blocks.faq (0.01%)	134μs
1 x composing: components.homework-blocks (0.01%)	131μs
1 x eloquent.retrieved: App\Models\Meta (0.01%)	126μs
1 x composing: components.forms.tutor-support (0.01%)	118μs
1 x creating: subjects.show (0.01%)	116μs
1 x composing: subjects.show (0.01%)	107μs
1 x composing: components.canonical (0.01%)	103μs
1 x composing: components.forms.claim-free-worksheet (0.01%)	86μs
1 x composing: components.open-graph (0.01%)	82μs
1 x composing: components.forms.get-started (0.01%)	81μs
1 x composing: components.forms.tutor-subscription-waitlist (0.01%)	75μs
1 x eloquent.booted: App\Models\Subject (0.01%)	69μs
1 x eloquent.booted: App\Models\User\TutorAttributes\TutorDegree (0.01%)	68μs
1 x composing: site.blocks.faq (0.01%)	65μs
1 x eloquent.booted: App\Models\SubjectCat (0.01%)	64μs
1 x eloquent.booted: App\Models\Meta (0.01%)	63μs
1 x composing: site.blocks.subject-homework (0%)	35μs
1 x composing: site.blocks.reviews (0%)	26μs
1 x composing: site.blocks.submit-homework (0%)	26μs
1 x composing: site.blocks.how-it-works (0%)	24μs
1 x composing: site.blocks.subject-tutors (0%)	24μs
1 x composing: site.blocks.text-with-image (0%)	22μs
1 x composing: site.layouts.app (0%)	20μs
1 x composing: site.blocks.work-with-tutors (0%)	17μs

34 templates were rendered

1x subjects.showshow.blade.phpblade
1x components.breadcrumbsbreadcrumbs.blade.phpblade
1x site.blocks.how-it-workshow-it-works.blade.phpblade
1x site.blocks.subject-tutorssubject-tutors.blade.phpblade
1x components.tutors-cardstutors-cards.blade.phpblade
6x components.tutors-cardtutors-card.blade.phpblade
1x site.blocks.subject-homeworksubject-homework.blade.phpblade
1x components.homework-blockshomework-blocks.blade.phpblade
1x site.blocks.reviewsreviews.blade.phpblade
1x site.blocks.submit-homeworksubmit-homework.blade.phpblade
1x site.blocks.faqfaq.blade.phpblade
4x components.faq-itemfaq-item.blade.phpblade
1x site.blocks.text-with-imagetext-with-image.blade.phpblade
1x site.blocks.work-with-tutorswork-with-tutors.blade.phpblade
1x site.layouts.appapp.blade.phpblade
1x components.canonicalcanonical.blade.phpblade
1x components.open-graphopen-graph.blade.phpblade
1x site.headers.headerheader.blade.phpblade
1x components.footerfooter.blade.phpblade
1x components.forms.contact-uscontact-us.blade.phpblade
1x components.forms.get-startedget-started.blade.phpblade
1x components.forms.free-tool-downloadfree-tool-download.blade.phpblade
1x components.forms.claim-free-worksheetclaim-free-worksheet.blade.phpblade
1x components.forms.tutor-subscription-waitlisttutor-subscription-waitlist.blade.phpblade
1x components.forms.tutor-subscription-jointutor-subscription-join.blade.phpblade
1x components.forms.tutor-supporttutor-support.blade.phpblade

uri: GET subjects/{categoryUri}/{subjectUri?}
middleware: web, utm.parameters
controller: App\Http\Controllers\SubjectController@show
namespace
where
as: subjects.show
file: app/Http/Controllers/SubjectController.php:43-96

30 statements were executed, 2 of which were duplicates, 28 unique. Show only duplicated167ms

Connection Establishedtwenty4_siteSubjectRepository.php#123

Backtrace

13. app/Repositories/SubjectRepository.php:123
14. app/Http/Controllers/SubjectController.php:54
15. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
16. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
17. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260

select * from `subjects` where `urlFriendlyTitle` = 'Electricity-and-Magnetism' limit 1

10.44mstwenty4_siteSubjectRepository.php#123

Bindings	0: Electricity-and-Magnetism
Backtrace	15. app/Repositories/SubjectRepository.php:123 16. app/Http/Controllers/SubjectController.php:54 17. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54 18. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43 19. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260

select * from `subject_cats` where `subject_cats`.`id` in (34)

1.29mstwenty4_siteSubjectRepository.php#123

Backtrace

20. app/Repositories/SubjectRepository.php:123
21. app/Http/Controllers/SubjectController.php:54
22. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
23. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
24. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260

select * from `subject_cats` where `subject_cats`.`id` = 34 limit 1

970μstwenty4_siteSubject.php#100

Bindings	0: 34
Backtrace	18. app/Models/Subject.php:100 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419 22. app/Models/Subject.php:101 28. app/Http/Controllers/SubjectController.php:86

select * from `meta` where `meta`.`id` = 3 limit 1

1.09mstwenty4_siteMetaService.php#118

Bindings	0: 3
Backtrace	19. app/Services/MetaService.php:118 20. app/Services/MetaService.php:108 21. app/Services/MetaService.php:81 22. app/Http/Controllers/SubjectController.php:89 23. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54

Connection Establishedtwenty4_siteTutorRepository.php#40

Backtrace

13. app/Repositories/TutorRepository.php:40
14. app/View/Components/TutorsCards.php:28
15. app/View/Components/TutorsCards.php:22
17. vendor/laravel/framework/src/Illuminate/Container/Container.php:929
18. vendor/laravel/framework/src/Illuminate/Container/Container.php:770

select count(*) as aggregate from `users` where (`subjectsQualified` like '%|325|%' or `DSF_subjectsQualified` like '%|325|%' or `allsubjects` = 1) and `disable_profile` = 0 and `picture` != '' and `solutionrequestQualified` = 1 and `is_suspended` = 0 and `is_deactivated` = 0 and `status` != '' and `status` = 'tutor'

20.36mstwenty4_siteTutorsCards.php#35

Bindings	0: %\|325\|% 1: %\|325\|% 2: 1 3: 0 4: 5: 1 6: 0 7: 0 8: 9: tutor
Backtrace	15. app/View/Components/TutorsCards.php:35 16. app/View/Components/TutorsCards.php:22 18. vendor/laravel/framework/src/Illuminate/Container/Container.php:929 19. vendor/laravel/framework/src/Illuminate/Container/Container.php:770 20. vendor/laravel/framework/src/Illuminate/Foundation/Application.php:933

select * from `users` where (`subjectsQualified` like '%|325|%' or `DSF_subjectsQualified` like '%|325|%' or `allsubjects` = 1) and `disable_profile` = 0 and `picture` != '' and `solutionrequestQualified` = 1 and `is_suspended` = 0 and `is_deactivated` = 0 and `status` != '' and `status` = 'tutor' order by `completed_requests` desc limit 6 offset 0

19.52mstwenty4_siteTutorsCards.php#35

Bindings	0: %\|325\|% 1: %\|325\|% 2: 1 3: 0 4: 5: 1 6: 0 7: 0 8: 9: tutor
Backtrace	15. app/View/Components/TutorsCards.php:35 16. app/View/Components/TutorsCards.php:22 18. vendor/laravel/framework/src/Illuminate/Container/Container.php:929 19. vendor/laravel/framework/src/Illuminate/Container/Container.php:770 20. vendor/laravel/framework/src/Illuminate/Foundation/Application.php:933

select * from `tutor_degrees` where `tutor_degrees`.`tutor_id` = 54885 and `tutor_degrees`.`tutor_id` is not null order by `year` desc limit 1

5.16mstwenty4_siteTutor.php#361

Bindings	0: 54885
Backtrace	18. app/Models/User/Tutor.php:361 19. view::components.tutors-card:11 21. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110 22. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58 23. vendor/livewire/livewire/src/ComponentConcerns/RendersLivewireComponents.php:69

select * from `subject_cats` where `subject_cats`.`id` = 1 limit 1

10.66mstwenty4_siteSubject.php#100

Bindings	0: 1
Backtrace	18. app/Models/Subject.php:100 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419 22. app/Models/Subject.php:101 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110

select * from `subject_cats` where `subject_cats`.`id` = 10 limit 1

5.42mstwenty4_siteSubject.php#100

Bindings	0: 10
Backtrace	18. app/Models/Subject.php:100 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419 22. app/Models/Subject.php:101 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110

select * from `subject_cats` where `subject_cats`.`id` = 25 limit 1

1.18mstwenty4_siteSubject.php#100

Bindings	0: 25
Backtrace	18. app/Models/Subject.php:100 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419 22. app/Models/Subject.php:101 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110

select * from `tutor_degrees` where `tutor_degrees`.`tutor_id` = 76351 and `tutor_degrees`.`tutor_id` is not null order by `year` desc limit 1

5.11mstwenty4_siteTutor.php#361

Bindings	0: 76351
Backtrace	18. app/Models/User/Tutor.php:361 19. view::components.tutors-card:11 21. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110 22. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58 23. vendor/livewire/livewire/src/ComponentConcerns/RendersLivewireComponents.php:69

select * from `subject_cats` where `subject_cats`.`id` = 36 limit 1

4.03mstwenty4_siteSubject.php#100

Bindings	0: 36
Backtrace	18. app/Models/Subject.php:100 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419 22. app/Models/Subject.php:101 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110

select * from `subject_cats` where `subject_cats`.`id` = 42 limit 1

6.4mstwenty4_siteSubject.php#100

Bindings	0: 42
Backtrace	18. app/Models/Subject.php:100 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419 22. app/Models/Subject.php:101 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110

select * from `tutor_degrees` where `tutor_degrees`.`tutor_id` = 69722 and `tutor_degrees`.`tutor_id` is not null order by `year` desc limit 1

980μstwenty4_siteTutor.php#361

Bindings	0: 69722
Backtrace	18. app/Models/User/Tutor.php:361 19. view::components.tutors-card:11 21. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110 22. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58 23. vendor/livewire/livewire/src/ComponentConcerns/RendersLivewireComponents.php:69

select * from `subject_cats` where `subject_cats`.`id` = 31 limit 1

3.98mstwenty4_siteSubject.php#100

Bindings	0: 31
Backtrace	18. app/Models/Subject.php:100 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419 22. app/Models/Subject.php:101 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110

select * from `tutor_degrees` where `tutor_degrees`.`tutor_id` = 99878 and `tutor_degrees`.`tutor_id` is not null order by `year` desc limit 1

6.92mstwenty4_siteTutor.php#361

Bindings	0: 99878
Backtrace	18. app/Models/User/Tutor.php:361 19. view::components.tutors-card:11 21. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110 22. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58 23. vendor/livewire/livewire/src/ComponentConcerns/RendersLivewireComponents.php:69

select * from `tutor_degrees` where `tutor_degrees`.`tutor_id` = 70230 and `tutor_degrees`.`tutor_id` is not null order by `year` desc limit 1

7.71mstwenty4_siteTutor.php#361

Bindings	0: 70230
Backtrace	18. app/Models/User/Tutor.php:361 19. view::components.tutors-card:11 21. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110 22. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58 23. vendor/livewire/livewire/src/ComponentConcerns/RendersLivewireComponents.php:69

select * from `tutor_degrees` where `tutor_degrees`.`tutor_id` = 813 and `tutor_degrees`.`tutor_id` is not null order by `year` desc limit 1

6.41mstwenty4_siteTutor.php#361

Bindings	0: 813
Backtrace	18. app/Models/User/Tutor.php:361 19. view::components.tutors-card:11 21. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110 22. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58 23. vendor/livewire/livewire/src/ComponentConcerns/RendersLivewireComponents.php:69

select count(*) as aggregate from `solutionslibrary` where exists (select * from `subjects` where `solutionslibrary`.`subject` = `subjects`.`id`) and `subject` = 325 and `status` = 'published' and `price` > 0

7.36mstwenty4_siteHomeworkBlocks.php#27

Bindings	0: 325 1: published 2: 0
Backtrace	15. app/View/Components/HomeworkBlocks.php:27 16. vendor/laravel/framework/src/Illuminate/View/Component.php:102 17. view::site.blocks.subject-homework:4 19. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110 20. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58

select * from `solutionslibrary` where exists (select * from `subjects` where `solutionslibrary`.`subject` = `subjects`.`id`) and `subject` = 325 and `status` = 'published' and `price` > 0 order by `purchase_count` desc limit 6 offset 0

1.38mstwenty4_siteHomeworkBlocks.php#27

Bindings	0: 325 1: published 2: 0
Backtrace	15. app/View/Components/HomeworkBlocks.php:27 16. vendor/laravel/framework/src/Illuminate/View/Component.php:102 17. view::site.blocks.subject-homework:4 19. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110 20. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58

select * from `subjects` where `subjects`.`id` in (325)

6.56mstwenty4_siteHomeworkBlocks.php#27

Backtrace

20. app/View/Components/HomeworkBlocks.php:27
21. vendor/laravel/framework/src/Illuminate/View/Component.php:102
22. view::site.blocks.subject-homework:4
24. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
25. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58

select * from `subject_cats` where `subject_cats`.`id` in (34)

10.45mstwenty4_siteHomeworkBlocks.php#27

Backtrace

25. app/View/Components/HomeworkBlocks.php:27
26. vendor/laravel/framework/src/Illuminate/View/Component.php:102
27. view::site.blocks.subject-homework:4
29. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
30. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58

select * from `twill_faqs` where exists (select * from `twill_faq_slugs` where `twill_faqs`.`id` = `twill_faq_slugs`.`twill_faq_id` and `slug` = 'can-you-help-me-with-my-homework-in-less-than-24-hours' and `active` = 1 and `locale` = 'en' and `twill_faq_slugs`.`deleted_at` is null) and `twill_faqs`.`deleted_at` is null limit 1

8.59mstwenty4_siteFaqItem.php#15

Bindings	0: can-you-help-me-with-my-homework-in-less-than-24-hours 1: 1 2: en
Backtrace	15. app/View/Components/FaqItem.php:15 16. vendor/laravel/framework/src/Illuminate/View/Component.php:102 17. view::site.blocks.faq:7 19. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110 20. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58

select * from `twill_faq_slugs` where `twill_faq_slugs`.`twill_faq_id` in (1) and `twill_faq_slugs`.`deleted_at` is null

2.93mstwenty4_siteFaqItem.php#15

Backtrace

20. app/View/Components/FaqItem.php:15
21. vendor/laravel/framework/src/Illuminate/View/Component.php:102
22. view::site.blocks.faq:7
24. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
25. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58

select * from `twill_faqs` where exists (select * from `twill_faq_slugs` where `twill_faqs`.`id` = `twill_faq_slugs`.`twill_faq_id` and `slug` = 'can-you-help-me-with-my-examquiztest' and `active` = 1 and `locale` = 'en' and `twill_faq_slugs`.`deleted_at` is null) and `twill_faqs`.`deleted_at` is null limit 1

1.36mstwenty4_siteFaqItem.php#15

Bindings	0: can-you-help-me-with-my-examquiztest 1: 1 2: en
Backtrace	15. app/View/Components/FaqItem.php:15 16. vendor/laravel/framework/src/Illuminate/View/Component.php:102 17. view::site.blocks.faq:24 19. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110 20. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58

select * from `twill_faq_slugs` where `twill_faq_slugs`.`twill_faq_id` in (2) and `twill_faq_slugs`.`deleted_at` is null

960μstwenty4_siteFaqItem.php#15

Backtrace

20. app/View/Components/FaqItem.php:15
21. vendor/laravel/framework/src/Illuminate/View/Component.php:102
22. view::site.blocks.faq:24
24. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
25. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58

select * from `twill_faqs` where exists (select * from `twill_faq_slugs` where `twill_faqs`.`id` = `twill_faq_slugs`.`twill_faq_id` and `slug` = 'how-much-will-it-cost' and `active` = 1 and `locale` = 'en' and `twill_faq_slugs`.`deleted_at` is null) and `twill_faqs`.`deleted_at` is null limit 1

1.04mstwenty4_siteFaqItem.php#15

Bindings	0: how-much-will-it-cost 1: 1 2: en
Backtrace	15. app/View/Components/FaqItem.php:15 16. vendor/laravel/framework/src/Illuminate/View/Component.php:102 17. view::site.blocks.faq:41 19. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110 20. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58

select * from `twill_faq_slugs` where `twill_faq_slugs`.`twill_faq_id` in (3) and `twill_faq_slugs`.`deleted_at` is null

6.58mstwenty4_siteFaqItem.php#15

Backtrace

20. app/View/Components/FaqItem.php:15
21. vendor/laravel/framework/src/Illuminate/View/Component.php:102
22. view::site.blocks.faq:41
24. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
25. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58

select * from `twill_faqs` where exists (select * from `twill_faq_slugs` where `twill_faqs`.`id` = `twill_faq_slugs`.`twill_faq_id` and `slug` = 'what-kind-of-payments-do-you-accept' and `active` = 1 and `locale` = 'en' and `twill_faq_slugs`.`deleted_at` is null) and `twill_faqs`.`deleted_at` is null limit 1

1.22mstwenty4_siteFaqItem.php#15

Bindings	0: what-kind-of-payments-do-you-accept 1: 1 2: en
Backtrace	15. app/View/Components/FaqItem.php:15 16. vendor/laravel/framework/src/Illuminate/View/Component.php:102 17. view::site.blocks.faq:58 19. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110 20. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58

select * from `twill_faq_slugs` where `twill_faq_slugs`.`twill_faq_id` in (4) and `twill_faq_slugs`.`deleted_at` is null

1.06mstwenty4_siteFaqItem.php#15

Backtrace

20. app/View/Components/FaqItem.php:15
21. vendor/laravel/framework/src/Illuminate/View/Component.php:102
22. view::site.blocks.faq:58
24. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
25. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58

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App\Models\User\Tutor: 6Tutor.php
App\Models\HomeworkLibrary\HomeworkLibrary: 6HomeworkLibrary.php
App\Models\Twill\Slugs\TwillFaqSlug: 6TwillFaqSlug.php
App\Models\Twill\TwillFaq: 4TwillFaq.php
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1 x Application (49.69%)	592ms