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Idea of Symmetry

An infinite w...

Question

An infinite wire having charge density $λ$ passes through one of the edges of a cube having edge length $l$ . Find the flux passing through the surface in contact with wire.

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Solution

field lines will be perpendicular to the infinite wire radiating away from the wire. These field lines will be parallel to all the 4 sides that are in touch with the wire. Therefore there will be no component of field lines crossing perpendicular to any of the 4 sides in contact. Hence electric flux is zero

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