Given R₁=1 Ω, R₂=2 Ω, C₁=2 μF, C₂=4 μF. Find the time constants (μs) of circuits I, II and III shown.
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Question

Given R₁=1 Ω, R₂=2 Ω, C₁=2 μF, C₂=4 μF. Find the time constants (μs) of circuits I, II and III shown.

G1 Physics · Accepted Answer

For each circuit, deactivate the ideal source and find the equivalent resistance seen by the capacitor equivalent. Then τ=Rₜₕ Cₑq. The three values are 8/9 μs, 18 μs and 4 μs respectively. Correct answer: D.