Embibe Experts Solutions for Chapter: Current Electricity, Exercise 2: Exercise-2

Capacitors $C_1=1\mu \mathrm{F}$ and $C_2=2\mu \mathrm{F}$ are separately charged from the same battery. They are then allowed to discharge separately through equal resistors-

The figure shows, a graph of the current a discharging circuit of a capacitor through a resistor of resistance $10 \mathrm{\Omega }$:

A capacitor $C=100 \mu \mathrm{F}$ is connected to three resistor each of resistance $1 \mathrm{k\Omega }$ and a battery of emf $9\mathrm{V}$. The switch $S$ has been closed for long time so as to charge the capacitor. When switch $S$ is opened, the capacitor discharges with time constant -

A charged capacitor is allowed to discharge through a resistor by closing the key at the instant $t=0$. At the instant $t=\left(\mathcal{l}\mathrm{n}4\right)\mu \mathrm{s}$, the reading of the ammeter falls half the initial value. The resistance of the ammeter is equal to-

The circuit shown in the figure consist of a battery of emf $\epsilon =10\mathrm{V}$; a capacitor of capacitance $C=1.0\mu \mathrm{F}$ and three resistor of values $R_1=2\mathrm{\Omega }, R_2=2\mathrm{\Omega }$ and $R_3=1\mathrm{\Omega }$. Initially the capacitor is completely uncharged and the switch $S$ is open. The switch $S$ is closed at $t=0$.

A capacitor of capacity $C$ is charged to the steady potential difference $V$ and connected in series with an open key and a pure resistor '$R$'. At time $t=0$, the key is closed. If $I$ is the current at time $t$, a plot of log $I$ against time  '$t$' is as shown in $\left(1\right)$ in the graph. Later on of the parameters i.e. $V,R$ or $C$ is changed keeping the other two constant, and the graph $\left(2\right)$ is recorded. Then-

In the circuit shown, the cell is ideal, with emf $15\mathrm{V}$. Each resistance is of $3\mathrm{\Omega }$. The potential difference across the capacitor is

In the circuit shown in the figure, the switch $S$ is initially open and the capacitor is initially uncharged. ${\mathrm{I}}_1,{\mathrm{I}}_2$ and ${\mathrm{I}}_3$ represent the current in the resistance $2\mathrm{\Omega }, 4\mathrm{\Omega }$ and $8\mathrm{\Omega }$ respectively.