An infinitely long non-conducting plane of charge density σ has circular aperture of certain radius carved out from it. The electric field at a point which is at a distance ‘a’ from the centre of the aperture is σ/2√2ε₀. The radius of aperture is an ‘a’ find n.

Question

An infinitely long non-conducting plane of charge density σ has circular aperture of certain radius carved out from it. The electric field at a point which is at a distance ‘a’ from the centre of the aperture is σ/2√2ε₀. The radius of aperture is an ‘a’ find n.

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: 1.