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Grade: upto college level
        How many time constants will elapse before the energy stored in the capacitor reaches half of its equilibrium value in a charging RC circuit?
4 years ago

Answers : (1)

Navjyot Kalra
askIITians Faculty
654 Points
							Sol. q = Q(1 – e^-n)
1/2 Q^2/C = Initial value ; 1/2 q^2/c = Final value
1/2 q^2/c * 2 = 1/2 Q^2/C
⇒ q^2 = Q^2/2 ⇒ q = Q/√2
Q/√2 = Q(1 – e^-n)
⇒ 1/√2 = 1 – e^-n ⇒ e^-n 1 - 1/√2
⇒ n = log(√2/√2 - 1) = 1.22

						
4 years ago
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