A square loop of side a is rotating about its diagonal with angular velocity ω in a perpendicular magnetic field overset arrow B . It has 10 turns. The emf induced is

Question

A square loop of side a is rotating about its diagonal with angular velocity ω in a perpendicular magnetic field overset arrow B . It has 10 turns. The emf induced is <img class="img-fluid question-image" alt="Question" src="https://cdn.tardigrade.in/q/nta/p-z7vpcpadnyo3.png" /> (A) Ba2sin ω t (B) Ba2cos ω t (C) 5√2Ba2 (D) 10Ba2ω sin ω t

Tardigrade Admin · Accepted Answer

Magnetic flux linked with loop at any instant, φ=BAcos θ φ=Ba2cos ω t Emf induced ∴ ϵ =-N(d φ/d t)=NBa2ω sin ω t ϵ =10Ba2ω sin ω t

Q. A square loop of side $a$ is rotating about its diagonal with angular velocity $ω$ in a perpendicular magnetic field $B \to$ . It has $10$ turns. The emf induced is

$B a^{2} s inω t$

$B a^{2} cos ω t$

$52 B a^{2}$

$10 B a^{2} ω s inω t$

Magnetic flux linked with loop at any instant,
$ϕ = B A cos θ$
$ϕ = B a^{2} cos ω t$
Emf induced
$∴ ϵ = - N \frac{d ϕ}{d t} = NB a^{2} ω s inω t$
$ϵ = 10 B a^{2} ω s inω t$

Q. A square loop of side a is rotating about its diagonal with angular velocity ω in a perpendicular magnetic field B→ . It has 10 turns. The emf induced is

Ba2sinωt

Ba2cosωt

52​Ba2

10Ba2ωsinωt