Electrostatic Potential and Capacitance

Electric Potential

  • Electric potential is the amount of work done in bringing a unit positive charge from infinity to given point. \tt V=\frac{W}{Q}
  • Potential at a point \tt V=\frac{1}{4\pi\ e_{0}}.\frac{Q}{R}
  • Electric potential is a scalar quantity.
  • The relation between "V" and "K" \tt E=\frac{-dv}{dr}
  • \tt V_{B}-V_{A}=-\int_{A}^{B} \overline{E}.\overline{dr}
  • If potential at any point is zero it is called zero potential point.
  • For unlike change "Q1" and "-Q2" are separated by "d", P1 and P2 one zero potential points as shown.

    At P1 \tt \frac{Q_{1}}{x}=\frac{Q_{2}}{d-x}
    At P2 \tt \frac{Q_{1}}{y}=\frac{Q_{2}}{d+y}

View the Topic in this video From 00:59 To 56:29

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Electric Potential(V)
Electric potentical at any point is equal to the work done per unit positive charge in carrying it from infinity to that point in electric field.
Electric potential, V = \frac{W}{q}