MCQ
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
  • A
    $\frac{3}{4}\frac{{{\varepsilon _0}AE}}{d}$
  • $\frac{2}{3}\frac{{{\varepsilon _0}AE}}{d}$
  • C
    $\frac{{4{\varepsilon _0}AE}}{d}$
  • D
    $\frac{{{\varepsilon _0}AE}}{{2d}}$

Answer

Correct option: B.
$\frac{2}{3}\frac{{{\varepsilon _0}AE}}{d}$
b
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

A bulb rated at ($100\,W$ - $200\,V$) is used on a $100\,V$ line. The current in the bulb is
In the figure shown, the capacity of the condenser $C$ is $2\,\mu F$. The current in $2\,\Omega $ resistor is ............... $A$
Figure shows a transparent block of front sides $‘a’$ and $'a’.$ The third dimension of the block is negligible. A point source $S$ which can emit light in all directions can move inside the block. It is desired that no light of $‘S’$ should pass through $AB$. The region in which $S$ should be present to satisfy this condition shown by shaded region. Choose correct option
In a collinear collision, a particle with an initial speed $v_0$ strikes a stationary particle of the same mass. If the final total kinetic energy is $50\%$ greater than the original kinetic energy, the magnitude of the relative velocity between the two particles, after collision, is:
The energy emitted per second by a black body at $27^o\ C$ is $10\ J$. If the temperature of the black body is increased to $327^o\ C$ , the energy emitted per second will be ......... $J$
Shear modulus is zero for
A small wooden ball of density $ \rho$ is immersed in water of density $\sigma $ to depth $h $ and then released. The height $H$ above the surface of water up to which the ball will jump out of water is
A pipe of length $1.5\ m$ closed at one end is filled with gas and resonates in its fundamental mode with a tuning fork. Another open organ pipe of same dimensions filled with air resonates in its fundamental mode with same tuning fork. If experiment is performed at $30\,^oC$ (speed of sound in air is $360\ m/sec$ at $30\,^oC$), the speed of sound at $0\,^oC$ in gas is ...... $m/sec$ (Neglect end correction)
The symbolic representation of four logic gates are given below

The logic symbols for $OR, NOT$ and $NAND$ gates are respectively 

A black body is heated from ${27^o}C$ to ${127^o}C$. The ratio of their energies of radiations emitted will be