B M Sharma Solutions for Chapter: Inductance, Exercise 3: DPP

A flat coil of wire has an inductance of $40.0 \mathrm{mH}$ and a resistance of $5.00 \mathrm{\Omega }$. It is connected to a $22.0 \mathrm{V}$ battery at the instant $i=0$. Consider the moment when the current is $3.00 \mathrm{A}$. Is the relationship described in part (d) true at other instants as well?

Relationship described in part (d):

$P_B=P_r+P_L$, where
$P_B$= power supplied by the battery
$P_r$= power delivered to the internal resistance
$P_L$= power stored in the magnetic field.

A flat coil of wire has an inductance of $40.0 \mathrm{mH}$ and a resistance of $5.00 \mathrm{\Omega }$. It is connected to a $22.0 \mathrm{V}$ battery at the instant $i=0$. Consider the moment when the current is $3.00 \mathrm{A}$.

Explain the relationship at the moment immediately after $t=0$ and at a moment several seconds later.

In the circuit shown in figure, the battery emf is $\epsilon$ the resistance is $R$ and the capacitance is $C$. The switch $S$ is closed for a long time interval, and zero potential difference is measured across the capacitor.

  After the switch is opened, the potential difference across the capacitor reaches a maximum value of $\mathrm{\Delta }V$. What is the value of the inductance?

A $1.00 \mu \mathrm{F}$ capacitor is charged by a $40.0 \mathrm{V}$ power supply. The fully charged capacitor is then discharged through a $10.0 \mathrm{mH}$ inductor. Find the maximum current in the resulting oscillations.

The frequency of oscillation of current in the inductor is:

In the circuit shown in the figure, $L$ is an ideal inductor and $E$ is an ideal cell. Switch $S$ is closed at $t=0$. Then

A $10.0 \mathrm{V}$ battery, a $5.00 \mathrm{ohm}$ resistor, and a $10.0 \mathrm{H}$ inductor are connected in series. After the current in the circuit has reached its maximum value,

The switch in figure is connected to position a for a long time interval. At $t=0$ the switch is thrown to position $b$. After this time,