The parallel plates in a capacitor, with a plate area of 8.60 cm² and an air-filled separation of 2.30 mm, are charged by a 6.20 V battery. They are then disconnected from the battery and pulled apart (without discharge) to a separation of 7.30 mm. Neglecting fringing, find (a) the potential difference between the plates, (b) the initial stored energy, (c) the final stored energy, and (d) the work required to separate the plates. (a) Number Units (b) Number Units (c) Number Units (d) Number Units > >

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The parallel plates in a capacitor, with a plate area of 8.60 cm? and an air-filled separation of 2.30 mm, are charged by a 6.20 V battery.
They are then disconnected from the battery and pulled apart (without discharge) to a separation of 7.30 mm. Neglecting fringing, find
(a) the potential difference between the plates, (b) the initial stored energy, (c) the final stored energy, and (d) the work required to
separate the plates.
(a) Number
i
Units
(b) Number
i
Units
(c) Number
i
Units
(d) Number
i
Units
>
Transcribed Image Text:The parallel plates in a capacitor, with a plate area of 8.60 cm? and an air-filled separation of 2.30 mm, are charged by a 6.20 V battery. They are then disconnected from the battery and pulled apart (without discharge) to a separation of 7.30 mm. Neglecting fringing, find (a) the potential difference between the plates, (b) the initial stored energy, (c) the final stored energy, and (d) the work required to separate the plates. (a) Number i Units (b) Number i Units (c) Number i Units (d) Number i Units >
Expert Solution
Concept and Principle:

Capacitors are passive two-terminal devices capable of storing energy. They store energy in form of electric fields between two plates. This gap between the capacitor is usually filled with a dielectric or air. 

For air-filled capacitors, the capacitance is given by,

C=ε0Ad

Here A is the area of the capacitor, d the distance between the plates, and ε0 permittivity of vacuum.

For such a capacitor the total charge Q stored will be given by,

Q=CV

Here V is the voltage across the plates.

The total energy stored will be given by,

E=12CV2

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