Question

A point charge q1 = -5.7 μC is located at the center of a thick conducting spherical shell of inner radius a = 7.4 cm and outer radius b = 11.5 cm. The conducting spherical shell has a net charge of q2 = 2.6 μC. A) Draw the electric field lines inside the inner radius, between the inner and outer radius, and exterior to the conducting shell. B) What is the magnitude of the electric field at a location 8.0 cm from the point charge? C) What is the electric field at the point θ = 45o , r = 13 cm?

Answer 1

Answer: a) see attach file; b) E=0;  c)E=-1.65* 10^6 N/C

Explanation: In order to solve this problem we have to use the gaussian law which is given by:

∫E*dr=Q inside/εo

E for r=8 cm is located inside the conducting shell so E=0.

For r=13 cm we have to use above gaussian law considering the total charge inside a gaussian surface with radius equal to 0.13 m. ( see attach)