High School

A thin metallic spherical shell of radius 36.6 cm has a total charge of 7.25 C.

a) Calculate the electric field at the surface of the shell.
b) Calculate the potential difference between the center and the surface of the shell.
c) Both a and b.
d) Neither a nor b.

Answer :

Final answer:

a) The electric field at the surface of the spherical shell is 1.49 x 10^8 N/C. b) The potential difference between the center and the surface of the shell is 1.79 x 10^9 V.

Explanation:

a) To calculate the electric field at the surface of the spherical shell, we can use the formula E = k(Q/r^2), where k is the electrostatic constant, Q is the charge on the shell, and r is the radius of the shell. Plugging in the values, E = (9 x 10^9 Nm^2/C^2)(7.25C)/(0.366m)^2 = 1.49 x 10^8 N/C.

b) To calculate the potential difference between the center and the surface of the shell, we can use the formula V = k(Q/r), where V is the potential difference, Q is the charge on the shell, and r is the radius of the shell. Plugging in the values, V = (9 x 10^9 Nm^2/C^2)(7.25C)/(0.366m) = 1.79 x 10^9 V.