IGNOU MPH 3 2026 - determine the electrostatic potential in the region above the pl

Question

determine the electrostatic potential in the region above the plane,

19 Jan 2026

Answer :

Word Count : 426

To determine the electrostatic potential (V) in the region above an infinite conducting plane, we can solve it using the method of images, which is a classical analytical technique in electrostatics. Let’s go step by step manually. --- Assume we have: * An infinite grounded conducting plane at (z = 0). * A point charge (q) located at position ((0, 0, h)) above the plane. The goal is to find the electrostatic potential (V(x, y, z)) for (z > 0). --- ### Step 1: Method of Images To satisfy the boundary condition that the potential on the grounded plane is zero ((V = 0) at (z = 0)), we replace the plane by an image charge: * Place a charge (-q) at ((0, 0, -h)), symmetric below the plane. The potential at any point ((x, y, z)) above the plane due to these two charges is: [ V(x, y, z) = \frac{1}{4\pi\epsilon_0} \left[ \frac{q}{\sqrt{x^2 + y^2 + (z - h)^2}} + \frac{-q}{\sqrt{x^2

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