Question

A research van de graaff generator has a 2.30 m diameter metal sphere with a charge of 1.10 mc on it. (a) what is the electric potential on the surface of the sphere?

Answer 1

The potential on the surface of the charged sphere is 3.9 × 10⁷ volts.

Given:

The diameter of the sphere is 2.30 m and the charge of 1.10 mc.

The potential on the surface of a charged sphere is given by,

$V=k\frac{Q}{R}$

Where V is the potential on the surface, Q is the charge, R is the radius and k is the Coulomb's constant.

V = 8.99×10⁹×5×10⁻³/(2.30÷2)

V = 3.9 × 10⁷ volts

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