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.

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