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Conductors and Dielectrics in an Electric Field

Problem 3.56

Two point charges, qq and −q-q, are separated by a distance ll, both being located at a distance l/2l / 2 from the infinite conducting plane. Find: (a) the modulus of the vector of the electric force acting on each charge; (b) the magnitude of the electric field strength vector at the midpoint between these charges.

Reveal Answer
(a) F=(22−1)q28πε0l2F=\frac{(2 \sqrt{2}-1) q^{2}}{8 \pi \varepsilon_{0} l^{2}} (b) E=2(1−155)qπε0l2E=2\left(1-\frac{1}{5 \sqrt{5}}\right) \frac{q}{\pi \varepsilon_{0} l^{2}}.
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