A conducting sphere of radius R and charge Q is placed near a uniformly charged nonconducting infinitely large thin plate having surface charge density s. Then find the potential at point A (on the surface of sphere) due to charge on sphere (Here K = 1/4πε, q₀ = $\frac{\pi}{3}$ )
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Question

A conducting sphere of radius R and charge Q is placed near a uniformly charged nonconducting infinitely large thin plate having surface charge density s. Then find the potential at point A (on the surface of sphere) due to charge on sphere (Here K = 1/4πε, q₀ = $\frac{\pi}{3}$ )

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G1 Physics · Accepted Answer

Step 1: Convert the density to charge using dq = ρ dV, dq = λ dl, or dq = σ dA as appropriate. Step 2: Integrate over the stated region and then use Coulomb's law/Gauss's law for the field or flux. Step 3: Apply the given radius/position limits and simplify. Final: Option A. In this specific setup, apply the calculation to: A conducting sphere of radius R and charge Q is placed near a uniformly charged nonconducting infinitely.

A conducting sphere of radius R and charge Q is placed near a uniformly charged nonconducting infinitely large thin plate having surface charge density s. Then find the potential at point A (on the surface of sphere) due to charge on sphere (Here K = 1/4πε, q₀ = π 3 \frac{\pi}{3} 3 π ​ )

A conducting sphere of radius R and charge Q is placed near a uniformly charged nonconducting infinitely large thin plate having surface charge density s. Then find the potential at point A (on the surface of sphere) due to charge on sphere (Here K = 1/4πε, q₀ = π 3 \frac{\pi}{3} 3 π )