Questions & Answers of Electric field and potential due to point, line, plane and spherical charge distributions

Weightage of Electric field and potential due to point, line, plane and spherical charge distributions

Total 6 Questions have been asked from Electric field and potential due to point, line, plane and spherical charge distributions topic of Electromagnetic Fields subject in previous GATE papers. Average marks 1.33.

A positive charge of 1 nC is placed at (0, 0, 0.2) where all dimensions are in metres. Consider the x - y plane to be a conducting ground plane. Take $ \in_0=8.85\times10^{-12} $ F/m. The $ Z $ component of the E field at (0, 0, 0.1) is closest to

Two electric charges q and -2q are placed at (0,0) and (6,0) on the x-y plane. The equation of the zero equipotential curve in the x-y plane is

Two electrodes, whose cross-sectional view is shown in the figure below, are at the same potential. The maximum electric field will be at the point

 

A steady current I is flowing in the –x direction through each of two infinitely long wires at y=±L2 as shown in the figure. The permeability of the medium is μ0. The B -field at (0,L,0) is

A parallel plate capacitor is partially filled with glass of dielectric constant 4.0 as shown below. The dielectric strengths of air and glass are 30 kV/cm and 300 kV/cm,respectively. The maximum voltage (in kilovolts), which can be applied across the capacitor without any breakdown, is _______.

Two semi-infinite dielectric regions are separated by a plane boundary at $y=0$ . The dielectric constant of region $1\left(y<0\right)$ and region $ 2\left(y>0\right) $ are 2 and 5, respectively. Region 1 has uniform electric field E=3a^x+4a^y+2a^z,where a^x, a^y and a^are unit vector along the $x, y$ and $z$ axes, respectively. The electric field in region 2 is