What voltage 4.5 cm away from the center of a metal sphere of radius 3.5 cm would produce a static charge of 2.2 μC?
Question
What voltage 4.5 cm away from the center of a metal sphere of radius 3.5 cm would produce a static charge of 2.2 μC?
Solution
The voltage V at a distance r from the center of a sphere carrying a charge Q is given by the formula:
V = kQ/r
where k is Coulomb's constant, which is approximately 8.99 x 10^9 N m^2/C^2.
In this case, the charge Q is 2.2 μC, which is 2.2 x 10^-6 C. The distance r is 4.5 cm, which is 4.5 x 10^-2 m.
Substituting these values into the formula gives:
V = (8.99 x 10^9 N m^2/C^2) * (2.2 x 10^-6 C) / (4.5 x 10^-2 m)
Solving this equation gives the voltage at a distance of 4.5 cm from the center of the sphere.
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