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

Two solenoids $A$ and $B$, spaced close to each other and sharing the same cylindrical axis, have $400$ and $700$ turns, respectively. A current of $3.50 \mathrm{A}$ in solenoid $A$ produces an average flux of $300 \mathrm{\mu Wb}$ through each turn of $A$ and a flux of $90.0 \mathrm{\mu Wb}$ through each turn of $B$. What is the emf induced in $B$ when the current in $A$ changes at the rate of $0.500 \mathrm{A} {\mathrm{s}}^{-1}$?

Consider the four circuits shown in the figure, each consisting of a battery, a switch, a light bulb, a resistor and either a capacitor or an inductor. Assume the capacitor has a large capacitance and the inductor has a large inductance but no resistance. The light bulb has high efficiency and glows whenever electric current passes through it.

(i) Describe what the light bulb does in each of circuits (a) through (d) after the switch is closed.

(ii) Describe what the light bulb does in each of circuits (a) through (d) when the switch has been closed for a long time interval and when the switch is opened.

In which of the following circuit is the current maximum just after the switch $S$ is closed?

After the switch is closed in the $LC$ circuit, shown in the figure, the charge on the capacitor is sometimes zero, but at such instants, the current in the circuit is not zero. How is this behavior possible?

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 $22.00 \mathrm{V}$ battery, at the instant $i=0$. Consider the moment when the current is $3.00 \mathrm{A}$. At what rate is energy being delivered by the battery at this moment?

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,