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TS EAMCET · Physics · Electrostatics

The space between the two large parallel plates is filled with a material of uniform charge density \(\rho\). Assume that one of the plate is kept at \(x=0\). The potential at any point \(x\) between these plates is given by ( \(A\) and \(B\) are constants).

  1. A \(-\frac{\rho x^3}{2 \epsilon_0}\)
  2. B \(-\left(\frac{\rho x^2}{2 \epsilon_0}+A x\right)\)
  3. C \(-\left(\frac{\rho x^2}{2 \epsilon_0}+A x+B\right)\)
  4. D \(-\left(\frac{\rho x^3}{4 \epsilon_0}+A x^2+B x\right)\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(-\left(\frac{\rho x^2}{2 \epsilon_0}+A x+B\right)\)

Step-by-step Solution

Detailed explanation

According to the question, the space between the two large parallel plates is filled with a material of uniform charge density pi.e., It is a homogeneous medium, therefore the potential at any point between these plates is calculated by Poisson's equation as given below,…
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