Self and Mutual Inductance — Prelims Questions

A solenoid has a self-inductance of $10\,\text{H}$. If the current flowing through it changes from $5\,\text{A}$ to $2\,\text{A}$ in $0.1\,\text{s}$, what is the magnitude of the average induced EMF in the solenoid?

Two coils have a mutual inductance of $0.05\,\text{H}$. The current in the primary coil changes from $10\,\text{A}$ to $0\,\text{A}$ in $0.01\,\text{s}$. What is the magnitude of the induced EMF in the secondary coil?

An inductor of $2\,\text{H}$ stores $100\,\text{J}$ of energy. What is the current flowing through the inductor?

Which of the following factors does NOT affect the self-inductance of a solenoid?

Two coils have self-inductances $L_1 = 4\,\text{H}$ and $L_2 = 9\,\text{H}$. If the coefficient of coupling between them is $0.5$, what is their mutual inductance?

A long solenoid has $N$ turns, length $l$, and cross-sectional area $A$. If its length is doubled while keeping the number of turns and area constant, how does its self-inductance change?