Questions in Electrostatics

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The electric field inside a spherical shell of uniform surface charge density is
The electric potential $V$ at any point O (x, y, z all in metres) in space is given by $V = 4{x^2}\,volt$. The electric field at the point $(1m,\,0,\,2m)$ in $volt/metre$ is
A hollow metal sphere of radius 5 cm is charged so that the potential on its surface is 10 V. The potential at the centre of the sphere is
If a unit positive charge is taken from one point to another over an equipotential surface, then
Electric lines of force about negative point charge are
Charges of $+ \frac{{10}}{3} \times {10^{ - 9}}C$ are placed at each of the four corners of a square of side $8\,cm$. The potential at the intersection of the diagonals is
A uniform electric field having a magnitude ${E_0}$ and direction along the positive $X - $ axis exists. If the potential $V$ is zero at $x = 0$, then its value at $X = + x$ will be
Three charges $2q,\, - q,\, - q$ are located at the vertices of an equilateral triangle. At the centre of the triangle
Figure shows the electric lines of force emerging from a charged body. If the electric field at A and B are ${E_A}$ and ${E_B}$ respectively and if the displacement between A and B is $r$ then
ABC is an equilateral triangle. Charges $+ \,q$ are placed at each corner. The electric intensity at $O$ will be

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