An infinitely large thin plane sheet has a uniform surface charge density `+sigma`. Obtain the expression for the amount of work done in bringing a point charge q from infinity to a point, distant r, in front of the charged plane sheet.

A long thin flat sheet has a uniform surface charge density sigma . The magnitude of the electric field at a distance .r. from it is given by

Obtain the expression for electric field due to an charged infinite plane sheet .

An infinite sheet carrying a unifom surface charge density sigma lies on the xy-plane. The work done to carry a charge q from the point vecA=a(hati+2hatj+3hatk) to the point vecB=a(hati-2hatj+6hatk) (where a is a constant with the dimensions of length and epsilon_(0) is the permittivity of free space) is

An infinite conducting sheet has surface charge density sigma . The distance between two points is r. The potential difference (V_A - V_B) between these point is

An infinite conducting sheet has surface charge density sigma . The distance between two points is r. The potential difference (V_A - V_B) between these point is

If three infinite charged sheets of uniform surface charge densities sigma, 2sigma and -4 sigma are placed as shown in figure, then find out electric field intensities at points A, B, C and D.

If three infinite charged sheets of uniform surface charge densities sigma, 2sigma and -4 sigma are placed as shown in figure, then find out electric field intensities at points A, B, C and D.

An infinite sheet of charge has surface charge density sigma . The separation between two equipotential surfaces, whose potential differ by V is: