In the given figure the magnetic flux through the loop increases … - Vidyadip

MCQ

In the given figure the magnetic flux through the loop increases according to the relation $\phi_{B}(t)=10 t^{2}+20 t$, 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 $....\,{mA}$.

A
$10$
✓
$60$
C
$180$
D
$120$

✓

Answer

Correct option: B.

$60$

b
As we know induce emf

$|\in|=\frac{{d} \phi}{{dt}}=20 {t}+20\, {mV}$

$|{i}|=\frac{|\in|}{{R}}=10 {t}+10\, {mA}$

$\text { at } {t}=5$

$\mid {i} \mid=60\, {mA}$

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