An ideal coil of $10 \mathrm{H}$ is connected in series with a resistance of $5 \mathrm{\Omega }$ and a battery of $5 \mathrm{V}.2 \mathrm{s}$ after the connection is made, the current flowing (in ampere) in the circuit is

An inductor of $2 \mathrm{H}$ and a resistance of $10 \mathrm{\Omega }$ are connected in series with a battery of $5 \mathrm{V}$. The initial rate of change of current is

A coil of inductance $300 \mathrm{mH}$ and resistance $2 \mathrm{\Omega }$ is connected to a source of voltage $2 \mathrm{V}$. The current reaches half of its steady state value in

The time constant of the given circuit of Fig. 

An inductor $(\mathrm{L}=100 \mathrm{mH})$, a resistor $(\mathrm{R}=100 \mathrm{\Omega })$ and a battery $(\mathrm{E}=100 \mathrm{V})$ are initially connected in series as shown in Fig. After a long time the battery is disconnected after short circuiting the points $\mathrm{A}$ and $\mathrm{B}$. The current in the circuit $1 \mathrm{ms}$ after short circuit is

In an $\mathrm{R}-\mathrm{C}$ circuit while charging, the graph of  $\mathrm{I}$ versus time is as shown by the dotted line in Fig. When the value of the resistance is doubled, which of the solid curves best represents the variation of In $\mathrm{I}$ versus time? 

In the circuit shown below, Fig. the key $\mathrm{K}$ is closed at $\mathrm{t}=0$ The current through the battery is