Question

A spherical conductor has a radius of 14.0 cm and a charge of 58.0 µC. Calculate the electric field and the electric potential at the following distances from the center.

(a) r = 8.0 cm

	magnitude	direction
electric field	MN/C	---Select--- inward outward there is no direction
electric potential	MV	---Select--- inward outward there is no direction

(b) r = 30.0 cm

	magnitude	direction
electric field	MN/C	---Select--- inward outward there is no direction
electric potential	MV	---Select--- inward outward there is no direction

(c) r = 14.0 cm

	magnitude	direction
electric field	MN/C	---Select--- inward outward there is no direction
electric potential	MV	---Select--- inward outward there is no direction

Answer 1

radius, R=14cm

charge, q=58 uC

a)

if r=8cm

electric field, E=0 and there is no direction

electric potential, V=k*q/R

V=9*10^9*58*10^-6/(14*10^-2)

V=3.73*10^6 V and there is no direction

b)

if r=30cm

electric field, E=k*q/r^2

E=9*10^9*58*10^-6/(30*10^-2)^2

E=5.8*10^6 N/C and direction is outward

electric potential, V=k*q/r

V=9*10^9*58*10^-6/(30*10^-2)

V=1.74*10^6 V and there is no direction

c)

if R=14cm

electric field, E=k*q/R^2

E=9*10^9*58*10^-6/(14*10^-2)^2

E=26.63*10^6 N/C and direction is outward

electric potential, V=k*q/r

V=9*10^9*58*10^-6/(14*10^-2)

V=3.73*10^6 V and there is no direction