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. | $(3)$ $\mathrm{U}=q \mathrm{~V}$ |
$(4)$ $[\mathrm{V}]=\mathrm{M}^{1} \mathrm{~L}^{2} \mathrm{~T}^{-3} \mathrm{~A}^{-1}$ | $(4)$ $[\mathrm{U}]=\mathrm{M}^{1} \mathrm{~L}^{2} \mathrm{~T}^{-2}$ |
A particle $A$ has charge $ + q$ and a particle $B$ has charge $ + \,4q$ 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 speed $\frac{{{v_A}}}{{{v_B}}}$ will become
Two points $P$ and $Q$ are maintained at the potentials of $10\, V$ and $-4\,V$, respectively. The work done in moving $100$ electrons from $P$ and $Q$ is
Identify the $WRONG$ statement
A proton is accelerated through $50,000\, V$. Its energy will increase by
Charges $+q$ and $-q$ are placed at points $A$ and $B$ respectively which are a distance $2\,L$ apart, $C$ is the midpoint between $A$ and $B.$ The work done in moving a charge $+Q$ along the semicircle $CRD$ is