Consider two infinitely large plane parallel | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) For two infinitely large parallel conducting plates,the charge redistributes such that the outer surfaces have equal charge density $\sigma_{out}

Vedclass · Accepted Answer

$\frac{3 \sigma q}{2 \epsilon_0}$

Vedclass · Answer

(B) For two infinitely large parallel conducting plates,the charge redistributes such that the outer surfaces have equal charge density $\sigma_{out} = \frac{\sigma_1 + \sigma_2}{2} = \frac{\sigma + (-2\sigma)}{2} = -\frac{\sigma}{2}$.The inner surfaces will have charge densities $\sigma_{in1} = \sigma - (-\frac{\sigma}{2}) = \frac{3\sigma}{2}$ and $\sigma_{in2} = -2\sigma - (-\frac{\sigma}{2}) = -\frac{3\sigma}{2}$.The electric field between the plates is due to the inner surface charges: $E = \frac{\sigma_{in1}}{2\epsilon_0} + \frac{|\sigma_{in2}|}{2\epsilon_0} = \frac{3\sigma/2}{2\epsilon_0} + \frac{3\sigma/2}{2\epsilon_0} = \frac{3\sigma}{2\epsilon_0}$.The force experienced by the charge $+q$ is $F = qE = q \left( \frac{3\sigma}{2\epsilon_0} \right) = \frac{3\sigma q}{2\epsilon_0}$.

Consider two infinitely large plane parallel conducting plates as shown below. The plates are uniformly charged with a surface charge density $+\sigma$ and $-2 \sigma$. The force experienced by a point charge $+q$ placed at the midpoint between the two plates will be:

Similar Questions

An infinite non-conducting sheet has a surface charge density $\sigma = 0.10 \, \mu C/m^2$ on one side. How far apart are equipotential surfaces whose potentials differ by $50 \, V$?

Three infinitely long charged non-conducting sheets are placed as shown in the figure. The electric field at point $P$ is ($\sigma$ - charge density,$\epsilon_0$ - permittivity of free space).

Two infinitely long thin straight parallel wires are kept at a perpendicular distance of $2R$, having uniform linear charge densities $+\lambda$ and $-\lambda$ respectively. The magnitude of the electric field at the midpoint between the two wires will be . . . . . . .

Three infinite plane sheets carrying uniform charge densities $-\sigma, 2 \sigma, 4 \sigma$ are placed parallel to the $XZ$ plane at $Y=a, 3a, 4a$ respectively. The electric field at the point $(0, 2a, 0)$ is

The electric intensity due to an infinite cylinder of radius $R$ and having charge $q$ per unit length at a distance $r(r > R)$ from its axis is

Vedclass Test Series

Exam Paper Generator

Online Exam Module