List of top Physics Questions on Mutual Induction

Define mutual inductance of a pair of coils. Write its SI unit.

A long solenoid of radius \(R\) and length \(L\) has \(n\) turns per unit length. A circular loop of radius \(r(<R)\) is placed inside at the centre of the solenoid such that its axis coincides with the axis of the solenoid. Obtain the mutual inductance of the solenoid and the loop.

A long solenoid of length \(L\) and radius \(r_1\) having \(N_1\) turns is surrounded symmetrically by a coil of radius \(r_2\,(>r_1)\) having \(N_2\) turns \((N_2 \ll N_1)\) around its mid-point. Derive an expression for the mutual inductance of the solenoid and the coil. Is \(M_{12}=M_{21}\) valid in this case?

Define mutual inductance of a pair of coils. Write its SI unit.

A long solenoid of radius \(R\) and length \(L\) has \(n\) turns per unit length. A circular loop of radius \(r(<R)\) is placed inside at the centre of the solenoid such that its axis coincides with the axis of the solenoid. Obtain the mutual inductance of the solenoid and the loop.

A long solenoid of length \(L\) and radius \(r_1\) having \(N_1\) turns is surrounded symmetrically by a coil of radius \(r_2\,(>r_1)\) having \(N_2\) turns \((N_2 \ll N_1)\) around its mid-point. Derive an expression for the mutual inductance of the solenoid and the coil. Is \(M_{12}=M_{21}\) valid in this case?

As shown in the figure, \(P\) and \(Q\) are two coaxial conducting loops separated by some distance. When the switch \(S\) is closed, a clockwise current \(I_P\) flows in \(P\) (as seen by \(E\)) and an induced current \(I_{Q1}\) flows in \(Q\). The switch remains closed for a long time. When \(S\) is opened, a current \(I_{Q2}\) flows in \(Q\). Then the directions of \(I_{Q1}\) and \(I_{Q2}\) (as seen by \(E\)) are