Moderate

The space between the plates of a capacitor is filled by a liquid of dielectric constant k. The capacitance of the capacitor

Correct answer: A. increases by a factor k

  • A. increases by a factor k
  • B. decreases by a factor k
  • C. increases by a factor k^2
  • D. decreases by a factor k^2

Explanation

The capacitance C of a capacitor is directly proportional to the dielectric constant k of the material between its plates. Therefore, when a liquid with dielectric constant k is introduced between the plates, the capacitance increases by a factor of k. Thus, the correct option is (a).Incorrect options: (c) The capacitance increases by a factor of k, not k^2.(b) The introduction of a dielectric increases the capacitance, not decreases it.

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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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