Two coils are at fixed locations. When coil 1 has no current and … - Vidyadip

MCQ

Two coils are at fixed locations. When coil $1$ has no current and the current in coil $2$ increases at the rate of $15.0 As ^{-1}$, the emf in coil $1$ is $25 \ mV$ . When coil $2$ has no current and coil $1$ has a current of $3.6$ A , the flux linkage in coil $2$ is.

A
$16\ mWb$
B
$10\ mWb$
C
$4.00\ mWb$
✓
$6.00\ mWb$

✓

Answer

Correct option: D.

$6.00\ mWb$

$\mid\text{M}\mid=\frac{\text{e}_1}{\big(\frac{\text{di}_2}{\text{dt}}\big)}=\frac{\phi_2}{\text{i}_1}$
$\therefore\phi_2=\frac{\text{e}_1\text{i}_1}{(\frac{\text{di}^2}{\text{dt}})}=\frac{(25.0\times10^{-3})(3.6)}{(15)}$
$=6\times10^{-3}=6\text{mWb}$

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