Question
Five conducting parallel plates having area $A$ and separation between them $d$, are placed as shown in the figure. Plate number $2$ and $4$ are connected wire and between point $A$ and $B$, a cell of emf $E$ is connected. The charge flown through the cell is

Answer

Net capacitance

$=\frac{\left(\frac{2 \in 0 A}{d}\right)\left(\frac{\in 0 A}{d}\right)}{\frac{2 \in_{o} A}{d}}$

$=\frac{2}{3} \frac{\in_{0} A}{d}$

Charge flown $=C E$

$=\frac{2}{3} \frac{\in_{0} A}{d} E$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

In the circuit shown in the figure $K_1$ is open. The charge on capacitor $C$ in steady state is $q_1$. Now key is closed and at steady state charge on $C$ is $q_2$. The ratio of charges $q_1/q_2$ is
A small bar magnet of moment $M$ is placed in a uniform field $H.$  If magnet makes an angle of $ 30°$  with field, the torque acting on the magnet is
An observer moves towards a stationary source of sound with a velocity one-fifth of the velocity of sound. The precentage change in the apparent frequency is ..... $\%$
An electron with kinetic energy $5 \mathrm{eV}$ enters a region of uniform magnetic field of $3 \mu \mathrm{T}$ perpendicular to its direction. An electric field $\mathrm{E}$ is applied perpendicular to the direction of velocity and magnetic field. The value of $\mathrm{E}$, so that electron moves along the same path, is . . . . . $\mathrm{NC}^{-1}$.

(Given, mass of electron $=9 \times 10^{-31} \mathrm{~kg}$, electric charge $=1.6 \times 10^{-19} \mathrm{C}$ )

Diagram shows a circuit diagram choose incorrect statement
A $500 \,\mu F$ capacitor is charged at a steady rate of $100\, \mu C/sec$. The potential difference across the capacitor will be $10\, V$ after an interval of.....$sec$
The output of the given circuit diagram is
In a certain charge distribution, all points having zero potential can be joined by a circle $S$. Points inside $S$ have positive potential and points outside $S$ have negative potential. A positive charge, which is free to move, is placed inside $S$
If both the mass and the radius of the earth decrease by $1\%$, the value of the acceleration due to gravity will
Water falls down a $500.0 \,m$ shaft to reach a turbine which generates electricity. ................ $m^3$ water must fall per second in order to generate $1.00 \times 10^9 \,W$ of power ? (Assume $50 \%$ efficiency of conversion and $\left.g=10 \,ms ^{-2}\right)$