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Grade: upto college level
        A parallel-plate capacitor with plate area 20 cm^2 and plate separation 1.0 mm is connected to a battery. The resistance of the circuit is 10 k Ω. Find the time constant of the circuit.
5 years ago

Answers : (1)

Deepak Patra
askIITians Faculty
471 Points
							Sol. A = 20 cm2 = 20 * 10^–4 m2
d = 1 mm = 1 * 10–3 m ; R = 10 KΩ
C = E base 0A/d = 8.85 * 10^-12 * 20 * 10^-4/1 * 10^-3
= 8.85 * 10^-12 * 2 * 10^-3/10^-3 = 17.7 * 10^-2 Farad.
Time constant = CR = 17.7 * 10^–2 * 10 * 10^3
= 17.7 * 10^–8 = 0.177 * 10^–6 s = 0.18 μs.

						
5 years ago
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