a cylinder is placed in a uniform electric field E with its axis parallel to the field show that the - Physics - Electric Charges And Fields

Question

a cylinder is placed in a uniform electric field E with its axis
parallel to the field show that the total flux through the cylinder
is 0

Vaibhav T. · Accepted Answer

Dear Student,

Electric flux over the curved surface is given by,ϕ=∫E
ds cos90°ϕ=0Moreover, the flux over the end faces of the cylinder is zero
 The flux or the lines of forces entering the cylinder at one end leaves the other end is same
ϕout=EπR2-EπR2=0where, E=electric fieldR=radius of cylinderϕout=outward fluxHence, total flux electric flux is zero

a cylinder is placed in a uniform electric field E with its axis parallel to the field show that the total flux through the cylinder is 0