Value of potential at a point due to a point charge is

Correct answer: B. Inversely proportional to the distance

  • A. Inversely proportional to the square of the distance
  • B. Inversely proportional to the distance
  • C. Directly proportional to the square of the distance
  • D. Directly proportional to the distance

Explanation

The electric potential V at a point due to a point charge Q is given by the formula V = kQ/r, where k is a constant (Coulomb's constant), Q is the magnitude of the charge, and r is the distance from the charge to the point where the potential is being measured. This formula shows that the potential is inversely proportional to the distance r. Therefore, as the distance increases, the potential decreases. Option B is correct as it correctly describes this relationship. Options A, C, and D misrepresent the relationship between potential and distance.

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Electrostatics describes forces between charges through Coulomb's law, electric fields and field intensity, then uses electric potential to measure energy per unit charge. Capacitors store charge and electrical energy, with capacitance depending on geometry and dielectric material, not simply on the amount of charge present.

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