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⚛️ Physics  ·  Electrostatic Potential and Capacitance  ·  NEET & JEE

Relation between electric field E and electric potential V:

Answer: E = -dV/dr.

  • A E = V/r
  • B E = -dV/dr
  • C E = dV/dr
  • D E = V x r

Correct answer: B. E = -dV/dr

Explanation: E = -dV/dr. The electric field is the negative gradient of the potential. Field points from high to low potential.

Radial electric field lines and concentric red equipotential lines around a point charge (an electron), with field lines pointing inward

Field lines (radial) and equipotential lines (concentric circles) of a point charge. Equipotential surfaces are always perpendicular to the field lines. Image: Sjlegg, Public Domain, via Wikimedia Commons.

Concept context

Electric potential, equipotential surfaces, potential energy of charge systems, conductors, dielectrics, capacitors, combinations, and energy storage.

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