A parallel plate capacitor has plate …
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Gaurav Seth 6 years, 6 months ago
Question: A parallel-plate capacitor has plate area 25.0cm2 and a separation of 2.00mm between the plates. The capacitor is connected to a battery of 12.0V. (a) Find the charge on the capacitor, (b) The plate separation is decreased to 100mm. Find the extra charge given by the battery to the positive plate.
Plate area A = 25cm2 = 2.5 × 10–3m
Separation d = 2mm = 2 × 10–3m
Potential v = 12v
(a) We know C = ε0A/d = (8.85 x 10-12 x 2.5 x 10-3)/(2 x 10-3) = 11.06 x 10-12F
C = q/v => 11.06 x 10-12 = q/12
=> q1 = 1.32 x 10-10c
(b) Then d = decreased to 1mm
∴ The extra charge given to plate = (2.65 – 1.32) × 10-10 = 1.33 × 10–10C.
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