A coil having an area A0 is placed in a magnetic field which changes from B0 to 4 B0 in time interval t. The emf induced in the coil will be

Question

A coil having an area A0 is placed in a magnetic field which changes from B0 to 4 B0 in time interval t. The emf induced in the coil will be (A) 3 A0 B0 / t (B) 4 A0 B0 / t (C) 3 B0 / A0 t (D) 4 B0 / A0 t

Tardigrade Admin · Accepted Answer

φ0=B0 A0 φf=4 B0 A0 ; ε=(Δ φ/Δ t)=(3 B0 A0/t)

Q. A coil having an area $A_{0}$ is placed in a magnetic field which changes from $B_{0}$ to $4 B_{0}$ in time interval $t$ . The emf induced in the coil will be

$3 A_{0} B_{0} / t$

$4 A_{0} B_{0} / t$

$3 B_{0} / A_{0} t$

$4 B_{0} / A_{0} t$

$ϕ_{0} = B_{0} A_{0}$
$ϕ_{f} = 4 B_{0} A_{0}; ε = \frac{Δ ϕ}{Δ t} = \frac{3 B _{0} A _{0}}{t}$

Q. A coil having an area A0​ is placed in a magnetic field which changes from B0​ to 4B0​ in time interval t. The emf induced in the coil will be

3A0​B0​/t

4A0​B0​/t

3B0​/A0​t

4B0​/A0​t