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Gauss's law and its applications

Question

A point charge of  +12  μC is at a distance 6 cm vertically above the centre of a square of side 12 cm as shown in fig. The magnitude of the electric flux through the square will be ……..×103Nm2/C : 

Moderate
Solution

Imagine, +q charge to be at center of an imaginary cube of side 12cm.

Flux passing through cube = ϕ=qε0

By symmetry, Flux passing through each face of cube = ϕ'=q6ε0=12×1066×8.85×1012=225.98×103  SI  units



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