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Question
Ina parallel plate capacitor with air between the plates, each platehas an area of 6 × 10−3m2and the distance between the plates is 3 mm. Calculate thecapacitance of the capacitor. If this capacitor is connected to a 100V supply, what is the charge on each plate of the capacitor?
Ina parallel plate capacitor with air between the plates, each platehas an area of 6 × 10−3m2and the distance between the plates is 3 mm. Calculate thecapacitance of the capacitor. If this capacitor is connected to a 100V supply, what is the charge on each plate of the capacitor?
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Solution
Areaof each plate of the parallel plate capacitor, A= 6 ×10−3m2
Distance between theplates, d = 3 mm = 3 ×10−3 m
Supply voltage, V= 100 V
Capacitance C ofa parallel plate capacitor is given by,
Where,
=Permittivity of free space
= 8.854 ×10−12 N−1 m−2 C−2
Therefore, capacitanceof the capacitor is 17.71 pF and charge on each plate is 1.771 ×10−9 C.
Areaof each plate of the parallel plate capacitor, A= 6 ×10−3m2
Distance between theplates, d = 3 mm = 3 ×10−3 m
Supply voltage, V= 100 V
Capacitance C ofa parallel plate capacitor is given by,
Where,
=Permittivity of free space
= 8.854 ×10−12 N−1 m−2 C−2
Therefore, capacitanceof the capacitor is 17.71 pF and charge on each plate is 1.771 ×10−9 C.
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