B M Sharma Solutions for Chapter: Inductance, Exercise 1: DPP

An emf of $25.0 \mathrm{mV}$ is induced in a $500$ turn coil when the current is changing at the rate of $10.0 \mathrm{A} {\mathrm{s}}^{-1}$. What is the magnetic flux through each turn of the coil at an instant when the current is $4.00 \mathrm{A}$?

The current in a coil changes from $3.50 \mathrm{A}$ to $2.00 \mathrm{A}$ in the same direction, in $0.500 \mathrm{s}$. If the average emf induced in the coil is $12.0 \mathrm{mV}$, what is the inductance of the coil?
 

A self-induced emf in a solenoid of inductance $\mathrm{L}$ changes in time as $ϵ\mathit{=}{ϵ}_{\mathit{0}}{e}^{\mathit{-}\mathit{K}\mathit{t}}$. Assuming the charge is finite, find the total charge that passes a point in the wire of the solenoid.

The current in a $4.0 \mathrm{mH}$ inductor varies in time, as shown in the figure. The corresponding graph of the self induced emf across the inductor over the time interval $t=0$ to $t=12.0 \mathrm{ms}$ is

An emf of $96.0 \mathrm{mV}$ is induced in the windings of a coil when the current in a nearby coil is increasing at the rate of $1.20 \mathrm{A} {\mathrm{s}}^{-1}$. The mutual inductance of the two coils is

Two coils, held in fixed positions, have a mutual inductance of $100 \mathrm{\mu H}$. What is the peak emf in one coil when the current in the other coil is $i\left(t\right)=10.0 \sin (1.00\times {10}^{3}t)$, where $i$ is in Amperes and $t$ is in seconds.

Two single-turn circular loops of wire have radii $R$ and $r$, with $R\gg r.$The loops lie in the same plane and are concentric. The mutual inductance of the pair is (approximately)

The current in a $90 \mathrm{mH}$ inductor changes with time $t$ as $i=1.0t^2-6.0t$, where $i$ is in Amperes and $t$ is in seconds. Then,