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. | $(3)$ $\mathrm{U}=q \mathrm{~V}$ |
$(4)$ $[\mathrm{V}]=\mathrm{M}^{1} \mathrm{~L}^{2} \mathrm{~T}^{-3} \mathrm{~A}^{-1}$ | $(4)$ $[\mathrm{U}]=\mathrm{M}^{1} \mathrm{~L}^{2} \mathrm{~T}^{-2}$ |
Three charges $Q, +q$ and $+q$ are placed at the vertices of a right -angle isosceles triangle as shown below. The net electrostatic energy of the configuration is zero, if the value of $Q$ is
A proton has a mass $1.67 \times 10^{-27} \,kg$ and charge $+1.6 \times 10^{-19} \,C$. If the proton is accelerated through a potential difference of million volts, then the kinetic energy is ......... $J$
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Consider a system of three charges $\frac{\mathrm{q}}{3}, \frac{\mathrm{q}}{3}$ and $-\frac{2 \mathrm{q}}{3}$ placed at points $\mathrm{A}, \mathrm{B}$ and $\mathrm{C}$, respectively, as shown in the figure,
Take $\mathrm{O}$ to be the centre of the circle of radius $\mathrm{R}$ and angle $\mathrm{CAB}=60^{\circ}$
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A block of mass $m$ containing a net negative charge $-q$ is placed on a frictionless horizontal table and is connected to a wall through an unstretched spring of spring constant $k$ as shown. If horizontal electric field $E$ parallel to the spring is switched on, then the maximum compression of the spring is :-