Question

The mutual inductance between a primary and secondary circuit is 0.4 H and the resistance in these circuits are \[20\Omega\] and \[4\Omega\] respectively. To produce a current of 0.5 A in the secondary, current in the primary must be changed at the rate of ______.

पर्याय

• 0.2 A/s

• 0.4 A/s

• 4 A/s

• 5 A/s 

Answer 1

The mutual inductance between a primary and secondary circuit is 0.4 H and the resistance in these circuits are \[20\Omega\] and \[4\Omega\] respectively. To produce a current of 0.5 A in the secondary, current in the primary must be changed at the rate of 5 A/s .

Explanation:

\[\mathbf{e_s}=\mathbf{M}\frac{\mathrm{di_p}}{\mathrm{dt}}\]

\[\therefore\]    \[\mathrm{i_s R_s=M\frac{di_p}{dt}}\]

\[\frac{\mathrm{di_p}}{\mathrm{dt}}=\frac{\mathrm{i_s R_s}}{\mathrm{M}}=\frac{0.5\times4}{0.4}=5\mathrm{A/s}\]