Question 174: Electromagnetic Induction

Question

In the given figure the magnetic flux through the loop increases according to the relation $\phi$
B
(t) = 10t
2
+ 20t, where $\phi$
B
is in milliwebers and t is in seconds.
The magnitude of current through R  = 2$\Omega$ resistor at t = 5 s is ___________ mA.
![](https://imagex.cdn.examgoal.net/1ks456cbf/1e076f90-11bd-4ed0-8cb2-d43beda61c81/438a2ab0-f8cb-11eb-8274-7f1d731e697f/file-1ks456cbg.jpg)

Accepted Answer

$\left|  \in  \right| = {{d\phi } \over {dt}}$ = 20t + 20 mV
$\left| i \right| = {{\left|  \in  \right|} \over R}$ = 10t + 10 mA
at t = 5
$\left| i \right|$ = 60 mA

Electromagnetic Induction

In the given figure the magnetic flux through the loop increases according to the relation \phi B (t) = 10t 2 + 20t, where \phi B is in milliwebers and t is in seconds. The magnitude of current through R = 2\Omega resistor at t = 5 s is ___________ mA.

Integer / Numeric Answer Type