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?*1 point540 kV-540 kV440 kV– 440 kV
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?*1 point540 kV-540 kV440 kV– 440 kV
Solution
The voltage V at a distance r from the center of a sphere carrying a charge Q can be calculated using the formula:
V = kQ/r
where k is Coulomb's constant, which is approximately 8.99 x 10^9 N m^2/C^2.
Given: Q = 2.2 μC = 2.2 x 10^-6 C (since 1 μC = 10^-6 C) r = 4.5 cm = 0.045 m (since 1 cm = 0.01 m)
Substituting these values into the formula, we get:
V = (8.99 x 10^9 N m^2/C^2) * (2.2 x 10^-6 C) / 0.045 m
Solving this gives:
V = 440 kV
So, the voltage 4.5 cm away from the center of the metal sphere would be 440 kV.
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