An LRC circuit is at critical damping with R = 100 Ω. Starting from its maximum value, the charge on the capacitor drops to 50% of its value in a time t = 5 ms. What are the values of the inductance L and the capacitance C?
A)L = 0.36 H, C = 0.144 mF
B)L = 2.67 H, C = 1. 25 mF
C)L = 0.03 H, C = 0. 3 mF
D)L = 1.17 H, C = 8.1 mF
E)L = 5.12 H, C = 0. 06 mF

Question

Quizplus · Accepted Answer

For critical damping, the time constant τ = 2L/R. Given τ = 5 ms and R = 100 Ω, solve for L. Then use the relation for critical damping R = 2√(L/C) to find C.

An LRC Circuit Is at Critical Damping with R =