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Review I Constants A thin spherical shell with radius R1 = 1.00 cm is concentric with a larger thin spherical shell with radius R2 = 3.00 cm. Both shells are made of insulating material. The smaller shell has charge q1 = +6.00 nC distributed uniformly over its surface, and the larger shell has charge 92 = - 9.00 nC 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? Express your answer with the appropriate units. HẢ For related problemsolving tips and strategies, you may want to view a Video Tutor Solution of Potential vsurface and field magnitude esurface at the surface. V = Value Units Submit Request Answer Part B What is the electric potential due to the two shells at the following distance from their common center: r = 2.00 cm?

Review I Constants A thin spherical shell with radius R1 = 1.00 cm is concentric with a larger thin spherical shell with radius R2 = 3.00 cm. Both shells are made of insulating material. The smaller shell has charge q1 = +6.00 nC distributed uniformly over its surface, and the larger shell has charge 92 = - 9.00 nC 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? Express your answer with the appropriate units. HẢ For related problemsolving tips and strategies, you may want to view a Video Tutor Solution of Potential vsurface and field magnitude esurface at the surface. V = Value Units Submit Request Answer Part B What is the electric potential due to the two shells at the following distance from their common center: r = 2.00 cm?

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I Review I Constants A thin spherical shell with radius R1 = 1.00 cm is concentric with a larger thin spherical shell with radius R2 = 3.00 cm. Both shells are made of insulating material. The smaller shell has charge q1 = + 6.00 nC distributed uniformly over its surface, and the larger shell has charge - 9.00 nC distributed uniformly over its surface. Take the electric potential to be zero at an Part A What is the electric potential due to the two shells at the following distance from their common center: r = 0? Express your answer with the appropriate units. 92 = - infinite distance from both shells. μΑ ? For related problemsolving tips and strategies, you may want to view a Video Tutor Solution of Potential vsurface and field magnitude esurface at the surface. V = Value Units Submit Request Answer Part B What is the electric potential due to the two shells at the following distance from their common center: r = 2.00 cm?
Transcribed Image Text:I Review I Constants A thin spherical shell with radius R1 = 1.00 cm is concentric with a larger thin spherical shell with radius R2 = 3.00 cm. Both shells are made of insulating material. The smaller shell has charge q1 = + 6.00 nC distributed uniformly over its surface, and the larger shell has charge - 9.00 nC distributed uniformly over its surface. Take the electric potential to be zero at an Part A What is the electric potential due to the two shells at the following distance from their common center: r = 0? Express your answer with the appropriate units. 92 = - infinite distance from both shells. μΑ ? For related problemsolving tips and strategies, you may want to view a Video Tutor Solution of Potential vsurface and field magnitude esurface at the surface. V = Value Units Submit Request Answer Part B What is the electric potential due to the two shells at the following distance from their common center: r = 2.00 cm?
Expert Solution
The Potential function

A spherical body with total charge Q at center behaves at a distance greater than the radius as a point charge located at the origin of the sphere(due to Gauss' law).

The given arrangement consists of concentric spherical shell, with following parameters,

R1=1cm=0.001m          :     q1=+6×10-9CR2=3cm=0.003m          :     q1=-9×10-9C

 

Suppose a sphere of radius R contains a charge Q, then the electric field due to it at distance d is given by,

E(d)=14πε0Qd2    :d>R0                  :d<R       (1)

Now the potential is defined as,

V(r)=-∫∞0E(r)dr   (2)

 

Substituting (1) in (2) gives,

V(0)=-∫∞d14πε0Qr2dr -∫∞d0drV(0)=-Q4πε0-1r∞R -∫R00dr             (3)V(0)=Q4πε0R          (4)

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