A square insulating sheet whose sides have length L is held horizontally. The sheet has a charge of Q spread uniformly over its area. Part A

Calculate the electric field at a point located a distance r1 above the center of the sheet. Use the appropriate approximations based on the fact that r1 ? L.

Take the permittivity of free space to be ?0.

Part B

Estimate the electric field at a point located a distance r2 above the center of the sheet. Use the appropriate approximations based on the fact that r2 ? L.

Acylinder with a movable piston contains 11.7 moles of a monatomic ideal gas at a pressure of 1.32×10^5 pa. the gas is initially at a temperature of 300 k. an electric heater adds 43200 j of energy into the gas while the piston moves in such a way that the pressure remains constant. cp=20.79 j k^−1 mol^−1 for a monatomic ideal gas, and that the number of gas molecules is equal to avogadro's number (6.022×10^23) times the number of moles of the gas. (a) what is the temperature of the gas after the energy is added? (b) what is the change in volume of the gas? (c) how much work is done by the gas during this process?