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Question

In a parallel plate capacitor with air between the plates, each plate has an area of 6×103m2 and the distance between the plates is 3mm. Calculate the capacitance of the capacitor. If this capacitor is connected to a 100 V supply, what is the charge on each plate of the capacitor?

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Solution

Area of each plate A=6×103m2

Distance between the plates d=3mm=0.003m

Capacitance of capacitor C=Aϵod

C=6×103×8.85×10120.003=17.7pF

Voltage across the capacitor V=100 volts

Thus charge on each plate Q=CV

Q=17.7×1012×100

Q=1.77×109 C

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