The mutual inductance of a pair of coils, each of N rums, is M henry If a current of i ampere in one of the coils is brought to zero in t second, the emf induced per turn in the other coil, in volt will be

Question

The mutual inductance of a pair of coils, each of N rums, is M henry If a current of i ampere in one of the coils is brought to zero in t second, the emf induced per turn in the other coil, in volt will be (A)  (Mi/t)  (B)  (NMi/t)  (C)  (MN/it)  (D)  (Mi/Nt)

Tardigrade Admin · Accepted Answer

Induced emf, e=M(di/dt) (in magnitude) ⇒ e=NM( (i/t) ) ⇒ (e/N)=(Mi/t)

Q. The mutual inductance of a pair of coils, each of N rums, is M henry If a current of i ampere in one of the coils is brought to zero in t second, the emf induced per turn in the other coil, in volt will be

$\frac{M i}{t}$

$\frac{NM i}{t}$

$\frac{MN}{i t}$

$\frac{M i}{Nt}$

Induced emf, $e = M \frac{d i}{d t}$ (in magnitude)
$\Rightarrow$ $e = NM (\frac{i}{t})$
$\Rightarrow$ $\frac{e}{N} = \frac{M i}{t}$

Q. The mutual inductance of a pair of coils, each of N rums, is M henry If a current of i ampere in one of the coils is brought to zero in t second, the emf induced per turn in the other coil, in volt will be

tMi​

tNMi​

itMN​

NtMi​

Induced emf, e=Mdtdi​ (in magnitude) ⇒ e=NM(ti​) ⇒ Ne​=tMi​

$\frac{M i}{t}$

$\frac{NM i}{t}$

$\frac{MN}{i t}$

$\frac{M i}{Nt}$

Induced emf, $e = M \frac{d i}{d t}$ (in magnitude)
$\Rightarrow$ $e = NM (\frac{i}{t})$
$\Rightarrow$ $\frac{e}{N} = \frac{M i}{t}$