1
IAT (IISER) 2023
MCQ (Single Correct Answer)
+4
-1
The magnetic fux $\phi_B(t)$ through a coil at a time $t$ is given by $\phi_B(t)=\phi_0 \cos \omega t$, where $0 \leq$ $\omega t \leq \pi$ and $\phi_0$ is a non-zero constant. At what time is the magnitude of the induced emf a maximum?
A
0
B
$\frac{\pi}{\omega}$
C
$\frac{\pi}{2 \omega}$
D
$\frac{\pi}{4 \omega}$
2
IAT (IISER) 2020
MCQ (Single Correct Answer)
+4
-1

Consider an infinite one-dimensional wire carrying a uniform current $I$ as shown in the figure. A square loop of side $a$ is initially placed such that the center of the loop is at a distance $R$ from the wire, where $R>\frac{a}{2}$. The square loop is then moved rightwards with a uniform speed as shown in the figure. What is the induced emf in the loop as a function of time $t$ ?

IAT (IISER) 2020 Physics - Electromagnetic Induction Question 2 English

A
$\frac{\mu_0 I a^2 v}{2 \pi\left[(R+v t)^2-\frac{a^2}{4}\right]}$
B
$\frac{3 \mu_0 I a^2 v}{4 \pi\left[(R+v t)^2-\frac{a^2}{4}\right]}$
C
$\frac{\mu_0 I a^2 v}{4 \pi\left[(R+v t)^2-\frac{a^2}{4}\right]}$
D
$\frac{3 \mu_0 I a^2 v}{2 \pi\left[(R+v t)^2-\frac{a^2}{4}\right]}$
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