A point charge sits a perpendicular distance from a large

PHYSICS · Subjective · Fermi University Physics · Electricity, Magnetism & Electromagnetism · Conductors, capacitance and boundary-value electrostatics · Conductors, capacitance and boundary-value electrostatics

Conditions of Validity, Ch Green functions: inverting the operator

Problem

A point charge q=2.0 nCq = 2.0\,\text{nC} sits a perpendicular distance a=5.0 mma = 5.0\,\text{mm} from a large, grounded, plane conducting sheet, in vacuum. Use the method of images (a single image charge −q-q at distance aa on the other side of the plane) to find the magnitude of the electrostatic force on qq. Take Coulomb's constant k=8.99×109 N m2 C−2k = 8.99\times10^{9}\,\text{N m}^2\,\text{C}^{-2}.

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