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Electrostatic Potential And Capacitance

Question
CBSEENPH12040104

A parallel plate air capacitor is charged to a potential difference of V volts. After disconnecting thecharging battery the distance between the plates of the capacitor is increased using an insulating handle. As a result the potential difference between the plates

  • decreases

  • does not change

  • becomes zero

  • increases

Solution

D.

increases

Charge remains constant after charging. 
If the battery is removed after charging then the charge stored in the capacitor remains constant. 
                q = constant
Change in capacitance
                  straight C apostrophe space equals space fraction numerator straight E subscript 0 straight A over denominator straight d apostrophe end fraction
As                straight d apostrophe greater than straight d
Hence,        straight C apostrophe less than straight C
Hence, potential difference between the plates
                       straight V apostrophe space equals space fraction numerator straight q over denominator straight C apostrophe end fraction
or      DV apostrophe space proportional to space space fraction numerator 1 over denominator straight C apostrophe end fraction
As capacitance decreases, so potential difference increases.

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