Derive an expression for Electric Potential ‘V’ due to a point charge.
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Answer:
9.0 × 109 N- m2/C2
Explanation:
Point charges, such as electrons, are among the fundamental building blocks of matter. Furthermore, spherical charge distributions (like on a metal sphere) create external electric fields exactly like a point charge. The electric potential due to a point charge is, thus, a case we need to consider. Using calculus to find the work needed to move a test charge q from a large distance away to a distance of r from a point charge Q, and noting the connection between work and potential (W = −qΔV), it can be shown that the electric potential V of a point charge is
V
=
k
Q
r
(Point Charge), where k is a constant equal to 9.0 × 109 N · m2/C2.
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