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A small spherical object carries a charge of 1.00 nC. (Note: Assume a reference

ID: 1270021 • Letter: A

Question

A small spherical object carries a charge of 1.00 nC. (Note: Assume a reference level of potential V = 0 at r = ?.) At what distance from the center of the object is the potential equal to the following?
100 V
m
50.0 V
m
25.0 V
m
Is the spacing of the equipotentials proportional to the change in potential?

Yes. The spacing is inversely proportional to the change in potential.

No. The spacing is not proportional to the change in potential.    

Yes. The spacing is directly proportional to the change in potential.

Explanation / Answer

V = kQ/r

so 100 = 9 * 109 * 1 * 10-9 / r
so r = 9 cm

for 50 r = 18 cm

for 25, r = 36 cm

so we see lesser the voltage, greater the distance and it is inversely proportional and equipotential at a given distance

Yes, the spacing isinversely proportional to the change in potential.

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