A simple pendulum of length λ and bob mass m is hanging in front of a large nonconducting sheet of surface charge density σ. If suddenly a charge +q is given to the bob in the position shown in figure. Find the maximum angle through which the string is deflected from vertical.

Question

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: A: 2 tan⁻¹(σq/(2ε₀mg)).