A metallic sphere of radius R has charge Q placed upon it. Make the normal assum

ID: 1619918 • Letter: A

Question

A metallic sphere of radius R has charge Qplaced upon it. Make the normal assumption that V0. (Figure 1)

Express your answer in terms of variables Q, r, and R. Combine all numerical values together into one multiplier.

Part A - What is the electric field inside the metallic sphere for r < R?

Part B- What is the electric field outside the metallic sphere for r > R?

Part C-What is the electric potential at the surface of the metallic sphere? (r=R)

Part D- What is the electric potential at the center of the metallic sphere? (r=0)

Metallic

A)The electric field inside the metallic sphere is zero.

B)The field outside the sphere can be calculated using Gauss law,

int(E.A) = Q/epsilon0

E(4 pi r^2) = Q/epsilon0

E = (1/4 pi epsilon0) (Q/r^2)

E = kQ/r^2

c)The potential at surface will be:

V = k Q/R

d)Potential inside will be constant,

V = k q/R