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

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

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

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

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

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Solution

The correct option is A $\frac{3 A_{0} B_{0}}{t}$
$e = - \frac{d ϕ}{d t} = \frac{4 B_{0} - B_{0} A_{0}}{t} = \frac{3 B_{0} A_{0}}{t}$

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

The correct option is A 3A0B0te=−dϕdt=4B0−B0A0t=3B0A0t

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

The correct option is A $\frac{3 A_{0} B_{0}}{t}$
$e = - \frac{d ϕ}{d t} = \frac{4 B_{0} - B_{0} A_{0}}{t} = \frac{3 B_{0} A_{0}}{t}$