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Electrostatic Potential and Capacitance — Physics STD 12 Science — Question

Bihar BoardEnglish MediumSTD 12 SciencePhysicsElectrostatic Potential and Capacitance1 Mark
MCQ
Two identical air filled parallel plate capacitors are charged to the same potential in the manner shown by closing the switch S. If now the switch S is opened and the space between the plates is filled with a dielectric of relative permittivity εr​, then:

  • A
    The potential difference as well as charge on each capacitor goes up by a factor εr​.
  • B
    The potential difference as well as charge on each capacitor goes down by a factor εr.​
  • C
    The potential difference across A remains constant and the charge on B remains unchanged.
  • D
    The potential difference across B remains constant while the charge on A remains unchanged.
✓

Answer

  1. The potential difference across A remains constant and the charge on B remains unchanged.

Explanation:

After switch S is opened, as the Capacitor A is connected across the battery, its potential difference is fixed at steady state (i.e., when capacitor is fully charged).

Capacitor B is isolated, so its charge gets fixed. But as we insert the dielectric, its capacitance changes, thus its potential difference also changes.

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