A metal sphere carrying an evenly distributed charge will have spherical equipot

Question

A metal sphere carrying an evenly distributed charge will have spherical equipotential surfaces surrounding it. Suppose the sphere’s radius is 51.5 cm and it carries a total charge of +1.30 C .

Part A

Calculate the potential of the sphere’s surface.

Express your answer with the appropriate units.

V=____________

Part B

You want to draw equipotential surfaces at intervals of 500 V outside the sphere’s surface. Calculate the distance between the first and the second equipotential surfaces, and between the 20th and 21st equipotential surfaces.

Enter your answers numerically separated by a comma.

x12,x2021 = _________________cm

Explanation / Answer

A) V= kQ/R = 22718 V

B) OUTSIDETHE SPHERE, 1ST SURFACE SHOULD HAVE 22718 -500

= 22218V

SO DISTANCE = 52.66 CM

OUTSIDETHE SPHERE, 2ND SURFACE SHOULD HAVE 22718 -1000

=21718 V = 53.9 CM

SO SEPARATION = 53.9 - 52.66

=1.24 CM

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