A particle carrying charge + q is placed at the center of a thick-walled conduct

Question

A particle carrying charge +q is placed at the center of a thick-walled conducting shell that has inner radius R and outer radius 2R and carries charge 4q. A thin-walled conducting shell of radius 3R carries charge +4q and is concentric with the thick-walled shell. Define V = 0 at infinity.

Part A

Calculate all distances from the particle at which the electrostatic potential is zero.

Check all that apply.

Check all that apply.

A particle carrying charge +q is placed at the center of a thick-walled conducting shell that has inner radius R and outer radius 2R and carries charge 4q. A thin-walled conducting shell of radius 3R carries charge +4q and is concentric with the thick-walled shell. Define V = 0 at infinity.

Part A

Calculate all distances from the particle at which the electrostatic potential is zero.

Check all that apply.

Check all that apply.

Explanation / Answer

The electric field inside a conductor is zero.

Hence for R<r<2R the electric field will be zero.

Hence the induced charge on the inner surface of the thick walled shell will be -q and on the outer surface charge will be = -3q

a) at r = 5R/6 and r = 6R/7

V = kq/r-kq/R - 3kq/2R + 4kq/3R = kq/r - 7kq/6R

so at r = 6R/7 the potential will be zero.

b) at r = 11R/5 and r = 9R/4

V = -3kq/r + 4kq/3R = 0

r = 9R/4

hence at r = 9R/4 and R = 6R/7 the electric potential will,be zero.

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.