Solveeit Logo
Login

Question

Question: A coil having an area \(A_{0}\) is placed in a magnetic field which changes from \(B_{0}\)to \(4B_{0...

A coil having an area A0A_{0} is placed in a magnetic field which changes from B0B_{0}to 4B04B_{0} in a time interval t. The e.m.f. induced in the coil will be

A

3A0B0t\frac{3A_{0}B_{0}}{t}

B

4A0B0t\frac{4A_{0}B_{0}}{t}

C

3B0A0t\frac{3B_{0}}{A_{0}t}

D

4B0A0t\frac{4B_{0}}{A_{0}t}

Answer

3A0B0t\frac{3A_{0}B_{0}}{t}

Explanation

Solution

e=−dφdt=−3B0A0te = - \frac{d\varphi}{dt} = \frac{- 3B_{0}A_{0}}{t}