A coil having number of turns N and area A is rotated in a uniform magnetic field B with angular velocity ω ) about its diameter. Maximum e.m.f. induced in it is given by

Question

A coil having number of turns N and area A is rotated in a uniform magnetic field B with angular velocity ω ) about its diameter. Maximum e.m.f. induced in it is given by (A) N A B ω (B) (N A B/ω) (C) (N A ω/B) (D) (B ω/N A)

Tardigrade Admin · Accepted Answer

φ=N B A cos θ=N B A cos ω t ε=-(d φ/d t) ε=N B A ω sin ω t ε max =N B A ω

Q. A coil having number of turns $N$ and area $A$ is rotated in a uniform magnetic field $B$ with angular velocity $ω$ ) about its diameter. Maximum e.m.f. induced in it is given by

$N A B ω$

$\frac{N A B}{ω}$

$\frac{N A ω}{B}$

$\frac{B ω}{N A}$

$ϕ = NB A cos θ = NB A cos ω t$
$ε = - \frac{d ϕ}{d t}$
$ε = NB A ω sin ω t$
$ε_{m a x} = NB A ω$

Q. A coil having number of turns N and area A is rotated in a uniform magnetic field B with angular velocity ω ) about its diameter. Maximum e.m.f. induced in it is given by

NABω

ωNAB​

BNAω​

NABω​