Calculationg the electric field of an insulating sperical shell using integration??? 1. The problem statement, all variables and given/known data We are asked to calculate the electric field at the center of an insulating hemispherical shell with radius R and a uniform surface charge density using integration. 2. Relevant equations Gauss's law E*A = Qencl/epsilon dE = k(dQ/r^2) where k=1/(4pi*epsilon) 3. The attempt at a solution I assume we can't use gauss's law since it asks for integration so I tried treating it as a ring of charge using dE = k(dQ/r^2) dQ = lamda * dS dS = rd(theta) dQ = lamda * r * d(theta) dE = k((lamda * d(theta))/r)(cos(theta) i + sin (theta) j) and integrating from there but i dont believe it can be treated as a ring of charge. Any suggestions??