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

ID: 1619287 • Letter: A

Question

A metallic sphere of radius R has charge Q placed upon it. Make the normal assumption that V0.

Part A

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

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

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)

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

Part D

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

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

Metallic

(a)

The electric field at the center of metal sphere is zero as the charge of the metal sphere lies on its surface not through out the sphere.

E= 0

(b)

the electric field out side of metal sphere is equal to the electric field due to a point charge which is placed at the center of the sphere.

E= k*Q / r^2 k=9*10^9 N.m^2/C^2

(c and d)

The electric potential through out a metal sphere is equal to the potential at surface,.

Vcenter =Vsurface = k*Q / R