Question

A thin spherical shell with radius *R*1 = 4.00cm is
concentric with a larger thin spherical shell with radius 7.00cm .
Both shells are made of insulating material. The smaller shell has
charge *q*1=+6.00nC distributed uniformly over its surface,
and the larger shell has charge *q*2=?9.00nC distributed
uniformly over its surface. Take the electric potential to be zero
at an infinite distance from both shells.

**Part A**

What is the electric potential due to the two shells at the
following distance from their common center: *r* = 0?

**Part B**

What is the electric potential due to the two shells at the
following distance from their common center: *r* =
5.00cm?

Part C

What is the electric potential due to the two shells at the
following distance from their common center: *r* =
8.00cm?

Part D

What is the magnitude of the potential difference between the surfaces of the two shells?

**Part E**

Which shell is at higher potential: the inner shell or the outer shell?

Answer #1

**part A) at r = 0 ,**

**The electric potential, V = k*q1/R1 +
k*q2/R2**

**= 9*10^9*6*10^-9/0.04 +
9*10^9*(-9*10^-9)/0.07**

**= 193 V
<<<<<<-------------Answer**

**part B) at r = 5 cm**

**The electric potential, V = k*q1/r +
k*q2/R2**

**= 9*10^9*6*10^-9/0.05 +
9*10^9*(-9*10^-9)/0.07**

**= -77.1 V
<<<<<<-------------Answer**

**part C) at r = 8 cm = 0.08 m**

**The electric potential, V = k*q1/r + k*q2/r**

**= 9*10^9*6*10^-9/0.08 +
9*10^9*(-9*10^-9)/0.08**

**= -338 V
<<<<<<-------------Answer**

**part D)**

**potential differenec between the two
shells,**

**delta_V = potential on inner sphere - potential on outer
sphere**

**= (k*q1/R1 + k*q2/R2) - (k*q1/R2 + k*q2/R2)**

**= k*q1*(1/R1 - 1/R2)**

**= 9*10^9*6*10^-9*(1/0.04 - 1/0.07)**

**= 578 V
<<<<<<<<<----------------Answer**

**part E) The inner shell.**

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