Question

Part 1

Consider the equipotential surfaces in the picture. The equipotential lines are separated by 1 cm 300 V -+ +- -200 V -100 V What is the magnitude of the average electric field between points A and C?

Part 2.

Answer 1

(a) E_x = -partial differential v/partial differential n = -delta v/delta n From A to C delta v = 0 E = = 0/delta n = 0 Electric field is zero in the direction along AC Average electric field is zero between A and C along AC (b) Gauss Law contourintegral E^vector middot dS^vector = partial differential_in/epsilon_0 For sphere contourintegral E^vector middot dS^vector = E times 4 pi r^2 E times 4 pi r^2 = partial differential_in/epsilon_0 partial differential_in = E times 4 pi r^2 times epsilon_0 = 3 times 10^6 times 4 pi times (0.1)^2 times 8.25 times 10^-12 = 3.33 times 10^-6 C partial differential_max = 3.33 MC