1
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 $t$ ?

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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