Question

Four point charges of 2.0 × 10−6 C are equally separated by 2.00 m in air as shown. If q1 = 3.0 nC, q2 = −4.0 nC, q3 = 2.0nC, and q4 = −5.0 nC, what is the electric field at a point halfway between q3 and q4?

Answer 1

Answer:

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.

Answer 2

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