A conducting square loop initially lies in the XZ plane with its lower edge hinged along the X -axis, there is a time dependent magnetic field pointing along the Z -direction, B ( t ) = B 0 ( cos ω

Question

A conducting square loop initially lies in the $XZ$ plane with its lower edge hinged along the $X$ -axis, there is a time dependent magnetic field pointing along the $Z$ -direction, $B (t) = B_{0} (cos ω t) \hat{K}$ where $B_{0}$ is a constant. At time $t = 0$ , the loop starts rotating with constant angular speed $ω$ about the $X$ axis in the clockwise direction as viewed from the $+ X$ axis (as shown in the figure). Ignoring self-inductance of the loop and gravity, which of the following plots correctly represents the induced e.m.f. $(V)$ in the loop as a function of time?

TestHub · Accepted Answer

Φ = B ⋅ A = B 0 ​ A sin ω t cos ω t Φ = 2 1 ​ B 0 ​ A sin 2 ω t E = − d t d Φ ​ = − B 0 ​ A ω cos 2 ω t The matching graph is option C.

Physics - EMI/AC Question with Solution | TestHub

Options:

Doubts & Discussion