In the figure a capacitor is filled with dielectric. The resultant capacitance is
$\frac{{2{\varepsilon _0}A}}{d}\left[ {\frac{1}{{{k_1}}} + \frac{1}{{{k_2}}} + \frac{1}{{{k_3}}}} \right]$
$\frac{{{\varepsilon _0}A}}{d}\left[ {\frac{1}{{{k_1}}} + \frac{1}{{{k_2}}} + \frac{1}{{{k_3}}}} \right]$
$\frac{{{2\varepsilon _0}A}}{d}\left[ {{k_1} + {k_2} + {k_3}} \right]$
$\frac{{A{\varepsilon _0}}}{d}\left( {\frac{{{k_1}{k_2}}}{{{k_1} + {k_2}}} + \frac{{{k_3}}}{2}} \right)$
Four capacitors of capacitance $10\, \mu\, F$ and a battery of $200\,V$ are arranged as shown. How much charge will flow through $AB$ after the switch $S$ is closed?
Consider a system of there charges $\frac{q}{3},\,\frac{q}{3}$ and $-\frac{2q}{3}$ placed at point $A, B$ and $C,$ respectively, as shown in the figure. Take $O$ to be the centre of the circle of radius $R$ and $\angle CAB\, = \,{60^o}$
Electric field at a place is $\vec E = {E_0}\hat i\,V/m$. A particle of charge $+q_0$ moves from point $A$ to $B$ along a circular path find work done in this motion by electric field
Two identical point charges are placed at a separation of $ l.$ $P$ is a point on the line joining the charges, at a distance $x$ from any one charge. The field at $P$ is $E$. $E$ is plotted against $x$ for values of $x$ from close to zero to slightly less than $l$. Which of the following best represents the resulting curve?
Two condensers $C_1$ and $C_2$ in a circuit are joined as shown in figure. The potential of point $A$ is $V_1$ and that of $B$ is $V_2$. The potential of point $D$ will be