Distinguish difference between electric potential and electric potential energy
Electric Potential $(V)$ | Electric Potential Energy $(U)$ |
$(1)$ Work done against electric field to bring unit positive charge is electric potential. | $(1)$ Work done against electric field to bring charge ' $q$ ' is electric potential energy |
$(2)$ Unit : $JC$ $^{-1}$ or Volt. | $(2)$ Unit : $J$ (Joule) |
$(3)$ $\mathrm{V}=\frac{\mathrm{W}}{q}, q=$ unit positive charge. | $(3)$ $\mathrm{U}=q \mathrm{~V}$ |
$(4)$ $[\mathrm{V}]=\mathrm{M}^{1} \mathrm{~L}^{2} \mathrm{~T}^{-3} \mathrm{~A}^{-1}$ | $(4)$ $[\mathrm{U}]=\mathrm{M}^{1} \mathrm{~L}^{2} \mathrm{~T}^{-2}$ |
Two charges of magnitude $5\, nC$ and $-2\, nC$, one placed at points $(2\, cm, 0, 0)$ and $(x\, cm, 0, 0)$ in a region of space, where there is no other external field. If the electrostatic potential energy of the system is $ - 0.5\,\mu J$. The value of $x$ is.....$cm$
A particle $A$ has charge $+q$ and particle $B$ has charge $+4 q$ with each of them having the same mass $m$. When allowed to fall from rest through the same electric potential difference, the ratio of their speeds $\frac{V_A}{V_B}$ will become
In a region, electric field varies as $E = 2x^2 -4$ where $x$ is the distance in metre from origin along $x-$ axis. A positive charge of $1\,\mu C$ is released with minimum velocity from infinity for crossing the origin, then
There is $10$ units of charge at the centre of a circle of radius $10\,m$. The work done in moving $1\, unit$ of charge around the circle once is...........$units$
In an electrical circuit, a battery is connected to pass $20\, C$ of charge through it in a certain given time. The potential difference between two plates of the battery is maintained at $15\, V$. The work done by the battery is ........... $J$.