B M Sharma Solutions for Chapter: Capacitor and Capacitance, Exercise 3: Concept Application Exercise

Find the charge supplied by the battery in the arrangement as shown in figure.

Find the capacitance between $A$ and $B$ if three dielectric slabs of dielectric constants $K_1$ (area $A_1$and thickness $\mathrm{d}$), $K_2$ (area $A_2$ and thickness $d_2$), and $K_3$ (area $A_2$ and thickness $d_2$) are inserted between the plates of a parallel plate capacitor of plate area $A$(figure). (Given that the distance between the two plates is $d=d_1+d_2$)

Three dielectrics of relative permittivity’s ${\epsilon }_{{\mathrm{r}}_1}=1, {\epsilon }_{{\mathrm{r}}_2}=2,$ and ${\epsilon }_{{\mathrm{r}}_3}=3$ are introduced in a parallel plate capacitor of plate area $A$ and separation $d$.

Find the effective capacitance between $A$ and $B$.

Four capacitors are connected as shown in the figure to a $30 \mathrm{V}$ battery. Find the potential difference between points $a$ and $b$.

In figure, the battery has a potential difference of $20 \mathrm{V}$. Find

(a) the equivalent capacitance of all the capacitors across the battery and

(b) the charge stored on that equivalent capacitance.

Find the charge on

(c) capacitor $C_1$,

(d) capacitor $C_2$, and

(e) capacitor $C_3$.

What charges will flow through section $B$ of the circuit in the direction shown when switch $S$ is closed

The figure shows a network of seven capacitors. If charge on $5 \mathrm{\mu F}$ capacitor is $10 \mathrm{\mu C}$, find the potential difference between points $A$ and $C$.

The capacitor each having capacitance $C=2 \mu \mathrm{F}$ are connected with a battery of emf $30 \mathrm{V}$ as shown in the figure. When the switch $S$ is closed, find:

(a) the amount of charge flown through the battery

(b) the energy supplied by the battery

(c) the heat generated in the circuit

(d) the amount of charge flown through the switch $S$