Embibe Experts Solutions for Chapter: Electrostatic Potential and Capacitance, Exercise 1: Manipur Board-2018

Derive an expression of equivalent capacitance for $2$ parallel plate capacitors connected in parallel.

What is electric potential? Derive an expression for electric potential at a point due to an electric dipole such that the line joining the point from the centre of dipole makes a certain angle from the axis of dipole.

Obtain the expression for the energy stored in a parallel plate capacitor of capacitance $\mathrm{C}$ charged to a potential $\mathrm{V}$.

Three charges of $1\mathrm{nC}, 2\mathrm{nC} \mathrm{and} 3\mathrm{nC}$ are placed at the corners of an equilateral triangle of side $\sqrt{3}$. Calculate electrostatic potential at a point equidistant from the three corners of the triangle.

Find the area in $\mathrm{sq} \mathrm{km}$ of the plates of a parallel plate capacitor of capacitance $2\mathrm{F}$, given that the separation between the plates is $0.5 \mathrm{cm}$.

$\left({\mathrm{\epsilon }}_0=8.85\times {10}^{-12} {\mathrm{C}}^2{\mathrm{N}}^{-1}{\mathrm{m}}^{-2}\right)$

Obtain the expression for the electric potential due to an electric dipole ( consisting of two charges $\mathrm{q}$ and $-\mathrm{q}$ separated by a small distance $2\mathrm{a}$) at a point far away from the dipole.