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

## What is the Weightage of Electric field and potential due to point, line, plane and spherical charge distributions in GATE Exam?

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 $y=±\frac{L}{2}$ as shown in the figure. The permeability of the medium is ${\mu }_{0}$. The $\stackrel{\to }{B}$ -field at (0,L,0) 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 $\stackrel{\to }{E}=3{\stackrel{^}{a}}_{x}+4{\stackrel{^}{a}}_{y}+2{\stackrel{^}{a}}_{z,}$where ${\stackrel{^}{a}}_{x}$, ${\stackrel{^}{a}}_{y}$ and are unit vector along the $x, y$ and $z$ axes, respectively. The electric field in region 2 is