A single point charge sits in vacuum

PHYSICS · Multi-part · Fermi University Physics · Electricity, Magnetism & Electromagnetism · Electrostatic fields and potential · Electrostatic fields and potential

Electricity, Magnetism and Electromagnetism, Ch Electric flux and Gauss's law

Problem

A single point charge

q = +5.0\ \mathrm{nC}

sits in vacuum,

5.0\ \mathrm{cm}

from the centre

O

of an imaginary closed spherical surface of radius

12.0\ \mathrm{cm}

(outward normal). There is no other charge anywhere. ((a)) Find the electric flux

\Phi_E

out of the sphere. ((b)) Find the field magnitude at the point of the sphere nearest the charge. ((c)) Find the field magnitude at the point of the sphere farthest from the charge. Then say, with a reason, whether the field on this sphere can be obtained by dividing your answer to (a) by the sphere's area.

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