5. A metallic sphere of radius 2.0 cm is charged with +5.0-µC charge, which spreads on the surface of the sphere uniformly. The metallic sphere stands on an insulated stand and is surrounded by a larger metallic spherical shell, of inner radius 5.0 cm and outer radius 6.0 cm. Now, a charge of -5.0-µC is placed on the inside of the spherical shell, which spreads out uniformly on the inside surface of the shell. If potential is zero at infinity, find the electric potential a) outside of the shell, b) at all surfaces (inter sphere, inner and outer surface of the shell) c) in the region between the sphere and the shell. d) inside the metal sphere and inside the shell.

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5. A metallic sphere of radius 2.0 cm is charged with +5.0-µC charge, which spreads on the surface of the
sphere uniformly. The metallic sphere stands on an insulated stand and is surrounded by a larger metallic
spherical shell, of inner radius 5.0 cm and outer radius 6.0 cm. Now, a charge of -5.0-uC is placed on the
inside of the spherical shell, which spreads out uniformly on the inside surface of the shell. If potential is zero
at infinity, find the electric potential
a) outside of the shell,
b) at all surfaces (inter sphere, inner and outer surface of the shell)
c) in the region between the sphere and the shell.
d) inside the metal sphere and inside the shell.
-5.0 μC
5.0 cm
-2.0 cm
6.0 cm
+ +5.0 µC
Transcribed Image Text:5. A metallic sphere of radius 2.0 cm is charged with +5.0-µC charge, which spreads on the surface of the sphere uniformly. The metallic sphere stands on an insulated stand and is surrounded by a larger metallic spherical shell, of inner radius 5.0 cm and outer radius 6.0 cm. Now, a charge of -5.0-uC is placed on the inside of the spherical shell, which spreads out uniformly on the inside surface of the shell. If potential is zero at infinity, find the electric potential a) outside of the shell, b) at all surfaces (inter sphere, inner and outer surface of the shell) c) in the region between the sphere and the shell. d) inside the metal sphere and inside the shell. -5.0 μC 5.0 cm -2.0 cm 6.0 cm + +5.0 µC
Expert Solution
Step 1

(a)

Given:

The radius of the metallic sphere is 2.0 cm.

The charge on its surface is +5 μC.

The inner and outer radius of surrounding spherical shell is 5.0 cm and 6.0 cm respectively.

The charge inside the spherical shell is -5 μC.

Introduction:

The potential difference between two points is defined as the work required to be done for bringing a unit positive charge from one point to other point.

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