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. ,

Options

A. `((lambdal)/(2epsilon_(0)))`
B. `((lambdal)/(epsilon_(0)))`
C. `((lambdal)/(3epsilon_(0)))`
D. `((3lambdal)/(epsilon_(0)))`

Explanation

`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))`