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Twelve infinite long wire of uniform lin...

Twelve infinite long wire of uniform linear charge density `(lambda)` are passing along the twelve edges of a cube. Find electric flux through any face of cube. ,

A

`((lambdal)/(2epsilon_(0)))`

B

`((lambdal)/(epsilon_(0)))`

C

`((lambdal)/(3epsilon_(0)))`

D

`((3lambdal)/(epsilon_(0)))`

Text Solution

Verified by Experts

`phi_(cube)=`flux due to single wire from whole cube
`phi_(cube)=(lambda l)/(8 epsilon_(0))` similarly four wires out of twelve will have same contribution and eight will have zero.
`phi_(face)=(lambda l)/(8 epsilon_(0))xx4=(lambda l)/(2epsilon_(0))`
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