Warning (2): file_get_contents(): https:// wrapper is disabled in the server configuration by allow_url_fopen=0 [ROOT/vendors/mathml_to_image.php, line 6]
file_get_contents - [internal], line ??
grabDataImage - ROOT/vendors/mathml_to_image.php, line 6
string_between - ROOT/vendors/mathml_to_image.php, line 30
math_to_image - ROOT/vendors/mathml_to_image.php, line 51
TopicsController::viewOnSearchTopic() - APP/Controller/TopicsController.php, line 98
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 490
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 191
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 165
[main] - APP/webroot/index.php, line 108
Warning (2): file_get_contents(https://www.wiris.net/demo/editor/render.png?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmsub%3E%3Cmi+mathvariant%3D%22normal%22%3EE%3C%2Fmi%3E%3Cmi+mathvariant%3D%22normal%22%3Ep%3C%2Fmi%3E%3C%2Fmsub%3E%3Cmi+mathvariant%3D%22normal%22%3E%3C%2Fmi%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmi+mathvariant%3D%22normal%22%3E%3C%2Fmi%3E%3Cmo%3E-%3C%2Fmo%3E%3Cmi+mathvariant%3D%22normal%22%3E%3C%2Fmi%3E%3Cmsub%3E%3Cmi+mathvariant%3D%22normal%22%3EN%3C%2Fmi%3E%3Cmi+mathvariant%3D%22normal%22%3Ep%3C%2Fmi%3E%3C%2Fmsub%3E%3Cmi+mathvariant%3D%22normal%22%3E%3C%2Fmi%3E%3Cmfrac%3E%3Cmrow%3E%3Cmi%3Ed%3C%2Fmi%3E%3Cmi%3E%26%23632%3B%3C%2Fmi%3E%3C%2Fmrow%3E%3Cmi+mathvariant%3D%22italic%22%3Edt%3C%2Fmi%3E%3C%2Fmfrac%3E%3C%2Fmath%3E) [function.file-get-contents]: failed to open stream: no suitable wrapper could be found [ROOT/vendors/mathml_to_image.php, line 6]
file_get_contents - [internal], line ??
grabDataImage - ROOT/vendors/mathml_to_image.php, line 6
string_between - ROOT/vendors/mathml_to_image.php, line 30
math_to_image - ROOT/vendors/mathml_to_image.php, line 51
TopicsController::viewOnSearchTopic() - APP/Controller/TopicsController.php, line 98
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 490
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 191
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 165
[main] - APP/webroot/index.php, line 108
Warning (2): file_get_contents() [function.file-get-contents]: https:// wrapper is disabled in the server configuration by allow_url_fopen=0 [ROOT/vendors/mathml_to_image.php, line 6]
file_get_contents - [internal], line ??
grabDataImage - ROOT/vendors/mathml_to_image.php, line 6
string_between - ROOT/vendors/mathml_to_image.php, line 30
string_between - ROOT/vendors/mathml_to_image.php, line 34
math_to_image - ROOT/vendors/mathml_to_image.php, line 51
TopicsController::viewOnSearchTopic() - APP/Controller/TopicsController.php, line 98
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 490
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 191
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 165
[main] - APP/webroot/index.php, line 108
Warning (2): file_get_contents(https://www.wiris.net/demo/editor/render.png?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmsub%3E%3Cmi+mathvariant%3D%22normal%22%3EE%3C%2Fmi%3E%3Cmi+mathvariant%3D%22normal%22%3Es%3C%2Fmi%3E%3C%2Fmsub%3E%3Cmi+mathvariant%3D%22normal%22%3E%3C%2Fmi%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmi+mathvariant%3D%22normal%22%3E%3C%2Fmi%3E%3Cmo%3E-%3C%2Fmo%3E%3Cmi+mathvariant%3D%22normal%22%3E%3C%2Fmi%3E%3Cmsub%3E%3Cmi+mathvariant%3D%22normal%22%3EN%3C%2Fmi%3E%3Cmi+mathvariant%3D%22normal%22%3Es%3C%2Fmi%3E%3C%2Fmsub%3E%3Cmi+mathvariant%3D%22normal%22%3E%3C%2Fmi%3E%3Cmfrac%3E%3Cmrow%3E%3Cmi%3Ed%3C%2Fmi%3E%3Cmi%3E%26%23632%3B%3C%2Fmi%3E%3C%2Fmrow%3E%3Cmi+mathvariant%3D%22italic%22%3Edt%3C%2Fmi%3E%3C%2Fmfrac%3E%3C%2Fmath%3E) [function.file-get-contents]: failed to open stream: no suitable wrapper could be found [ROOT/vendors/mathml_to_image.php, line 6]
file_get_contents - [internal], line ??
grabDataImage - ROOT/vendors/mathml_to_image.php, line 6
string_between - ROOT/vendors/mathml_to_image.php, line 30
string_between - ROOT/vendors/mathml_to_image.php, line 34
math_to_image - ROOT/vendors/mathml_to_image.php, line 51
TopicsController::viewOnSearchTopic() - APP/Controller/TopicsController.php, line 98
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 490
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 191
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 165
[main] - APP/webroot/index.php, line 108
Warning (2): file_get_contents() [function.file-get-contents]: https:// wrapper is disabled in the server configuration by allow_url_fopen=0 [ROOT/vendors/mathml_to_image.php, line 6]
file_get_contents - [internal], line ??
grabDataImage - ROOT/vendors/mathml_to_image.php, line 6
string_between - ROOT/vendors/mathml_to_image.php, line 30
string_between - ROOT/vendors/mathml_to_image.php, line 34
string_between - ROOT/vendors/mathml_to_image.php, line 34
math_to_image - ROOT/vendors/mathml_to_image.php, line 51
TopicsController::viewOnSearchTopic() - APP/Controller/TopicsController.php, line 98
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 490
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 191
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 165
[main] - APP/webroot/index.php, line 108
Warning (2): file_get_contents(https://www.wiris.net/demo/editor/render.png?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmfrac%3E%3Cmrow%3E%3Cmsub%3E%3Cmi%3EE%3C%2Fmi%3E%3Cmi%3Ep%3C%2Fmi%3E%3C%2Fmsub%3E%3Cmi%3E%3C%2Fmi%3E%3C%2Fmrow%3E%3Cmsub%3E%3Cmi%3EE%3C%2Fmi%3E%3Cmi%3Es%3C%2Fmi%3E%3C%2Fmsub%3E%3C%2Fmfrac%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmi+mathvariant%3D%22normal%22%3E%3C%2Fmi%3E%3Cmfrac%3E%3Cmrow%3E%3Cmsub%3E%3Cmi%3EN%3C%2Fmi%3E%3Cmi%3Ep%3C%2Fmi%3E%3C%2Fmsub%3E%3Cmi%3E%3C%2Fmi%3E%3C%2Fmrow%3E%3Cmsub%3E%3Cmi%3EN%3C%2Fmi%3E%3Cmi%3Es%3C%2Fmi%3E%3C%2Fmsub%3E%3C%2Fmfrac%3E%3C%2Fmath%3E) [function.file-get-contents]: failed to open stream: no suitable wrapper could be found [ROOT/vendors/mathml_to_image.php, line 6]
file_get_contents - [internal], line ??
grabDataImage - ROOT/vendors/mathml_to_image.php, line 6
string_between - ROOT/vendors/mathml_to_image.php, line 30
string_between - ROOT/vendors/mathml_to_image.php, line 34
string_between - ROOT/vendors/mathml_to_image.php, line 34
math_to_image - ROOT/vendors/mathml_to_image.php, line 51
TopicsController::viewOnSearchTopic() - APP/Controller/TopicsController.php, line 98
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 490
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 191
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 165
[main] - APP/webroot/index.php, line 108
Warning (2): file_get_contents() [function.file-get-contents]: https:// wrapper is disabled in the server configuration by allow_url_fopen=0 [ROOT/vendors/mathml_to_image.php, line 6]
file_get_contents - [internal], line ??
grabDataImage - ROOT/vendors/mathml_to_image.php, line 6
string_between - ROOT/vendors/mathml_to_image.php, line 30
string_between - ROOT/vendors/mathml_to_image.php, line 34
string_between - ROOT/vendors/mathml_to_image.php, line 34
string_between - ROOT/vendors/mathml_to_image.php, line 34
math_to_image - ROOT/vendors/mathml_to_image.php, line 51
TopicsController::viewOnSearchTopic() - APP/Controller/TopicsController.php, line 98
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 490
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 191
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 165
[main] - APP/webroot/index.php, line 108
Warning (2): file_get_contents(https://www.wiris.net/demo/editor/render.png?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmfrac%3E%3Cmrow%3E%3Cmsub%3E%3Cmi%3EE%3C%2Fmi%3E%3Cmi%3Ep%3C%2Fmi%3E%3C%2Fmsub%3E%3Cmi%3E%3C%2Fmi%3E%3C%2Fmrow%3E%3Cmsub%3E%3Cmi%3EE%3C%2Fmi%3E%3Cmi%3Es%3C%2Fmi%3E%3C%2Fmsub%3E%3C%2Fmfrac%3E%3Cmi+mathvariant%3D%22normal%22%3E%3C%2Fmi%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmi+mathvariant%3D%22normal%22%3E%3C%2Fmi%3E%3Cmfrac%3E%3Cmrow%3E%3Cmsub%3E%3Cmi%3EI%3C%2Fmi%3E%3Cmi%3Es%3C%2Fmi%3E%3C%2Fmsub%3E%3Cmi%3E%3C%2Fmi%3E%3C%2Fmrow%3E%3Cmsub%3E%3Cmi%3EI%3C%2Fmi%3E%3Cmi%3Ep%3C%2Fmi%3E%3C%2Fmsub%3E%3C%2Fmfrac%3E%3Cmi+mathvariant%3D%22normal%22%3E%3C%2Fmi%3E%3Cmo%3E%26there4%3B%3C%2Fmo%3E%3Cmi%3EE+%26alpha%3B%3C%2Fmi%3E%3Cmfrac%3E%3Cmn%3E1%3C%2Fmn%3E%3Cmi%3EI%3C%2Fmi%3E%3C%2Fmfrac%3E%3C%2Fmath%3E) [function.file-get-contents]: failed to open stream: no suitable wrapper could be found [ROOT/vendors/mathml_to_image.php, line 6]
file_get_contents - [internal], line ??
grabDataImage - ROOT/vendors/mathml_to_image.php, line 6
string_between - ROOT/vendors/mathml_to_image.php, line 30
string_between - ROOT/vendors/mathml_to_image.php, line 34
string_between - ROOT/vendors/mathml_to_image.php, line 34
string_between - ROOT/vendors/mathml_to_image.php, line 34
math_to_image - ROOT/vendors/mathml_to_image.php, line 51
TopicsController::viewOnSearchTopic() - APP/Controller/TopicsController.php, line 98
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 490
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 191
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 165
[main] - APP/webroot/index.php, line 108
Warning (2): file_get_contents() [function.file-get-contents]: https:// wrapper is disabled in the server configuration by allow_url_fopen=0 [ROOT/vendors/mathml_to_image.php, line 6]
file_get_contents - [internal], line ??
grabDataImage - ROOT/vendors/mathml_to_image.php, line 6
string_between - ROOT/vendors/mathml_to_image.php, line 30
string_between - ROOT/vendors/mathml_to_image.php, line 34
string_between - ROOT/vendors/mathml_to_image.php, line 34
string_between - ROOT/vendors/mathml_to_image.php, line 34
string_between - ROOT/vendors/mathml_to_image.php, line 34
math_to_image - ROOT/vendors/mathml_to_image.php, line 51
TopicsController::viewOnSearchTopic() - APP/Controller/TopicsController.php, line 98
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 490
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 191
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 165
[main] - APP/webroot/index.php, line 108
Warning (2): file_get_contents(https://www.wiris.net/demo/editor/render.png?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmfrac%3E%3Cmrow%3E%3Cmsub%3E%3Cmi%3EI%3C%2Fmi%3E%3Cmi%3Es%3C%2Fmi%3E%3C%2Fmsub%3E%3Cmi%3E%3C%2Fmi%3E%3C%2Fmrow%3E%3Cmsub%3E%3Cmi%3EI%3C%2Fmi%3E%3Cmi%3Ep%3C%2Fmi%3E%3C%2Fmsub%3E%3C%2Fmfrac%3E%3Cmi+mathvariant%3D%22normal%22%3E%3C%2Fmi%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmi+mathvariant%3D%22normal%22%3E%3C%2Fmi%3E%3Cmfrac%3E%3Cmrow%3E%3Cmsub%3E%3Cmi%3EN%3C%2Fmi%3E%3Cmi%3Ep%3C%2Fmi%3E%3C%2Fmsub%3E%3Cmi%3E%3C%2Fmi%3E%3C%2Fmrow%3E%3Cmsub%3E%3Cmi%3EN%3C%2Fmi%3E%3Cmi%3Es%3C%2Fmi%3E%3C%2Fmsub%3E%3C%2Fmfrac%3E%3Cmi%3EI+%26alpha%3B%3C%2Fmi%3E%3Cmfrac%3E%3Cmn%3E1%3C%2Fmn%3E%3Cmi%3EN%3C%2Fmi%3E%3C%2Fmfrac%3E%3C%2Fmath%3E) [function.file-get-contents]: failed to open stream: no suitable wrapper could be found [ROOT/vendors/mathml_to_image.php, line 6]
file_get_contents - [internal], line ??
grabDataImage - ROOT/vendors/mathml_to_image.php, line 6
string_between - ROOT/vendors/mathml_to_image.php, line 30
string_between - ROOT/vendors/mathml_to_image.php, line 34
string_between - ROOT/vendors/mathml_to_image.php, line 34
string_between - ROOT/vendors/mathml_to_image.php, line 34
string_between - ROOT/vendors/mathml_to_image.php, line 34
math_to_image - ROOT/vendors/mathml_to_image.php, line 51
TopicsController::viewOnSearchTopic() - APP/Controller/TopicsController.php, line 98
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 490
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 191
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 165
[main] - APP/webroot/index.php, line 108
It is a device which works on AC. It is used to increase as decrease the magnitude of alternate voltage as alternating current.
Principle :-
It is based upon the principle of mutual induction.
Construction :-
It consist of two coils primary and secondary wounds on a common laminated core made up of soft iron. Two coils are formed by different type of wire and their no of turns may also be different
Let Np and Ns be the total no. of turns in primary and secondary reap.
Theory and working :-
AC source is connected across primary varying current flow through primary which various magnitude as well as direction hence produces varying magnetic flux. This varying flux passes through secondary through the core hence EMF is induced in it. If flux through primary is grooving then it will also grow through secondary. In other wards flux charges in a similar manners in both the coils but due difference in the total no. of turns the EMF in two coils are different.
According to the law of electromagnetic induction EMF’s is primary and secondary are give
E x N= constant
Transformers is highly efficient device :
Input and output powers are almost equal. If Ip and Is are currents in primary and secondary we have
Ep Ip = Es Is
Transformer is of two types :
Step up transformer
Step down transformer
For step up transformer Es > Ep . also Ns > Np and Is < Ip
For step up transformer Es < Ep . also Ns < Np and Is > Ip
SureDen
