In a circuit with Q factor = 5000 and oscillation frequency 2 × 105 rad/s, the current amplitude decreases by a factor of e in a time interval Δt. Find Δt (in sec).
Physics · AC Circuits
JEE Advanced

Question

In a circuit with Q factor = 5000 and oscillation frequency 2 × 105 rad/s, the current amplitude decreases by a factor of e in a time interval Δt. Find Δt (in sec).

G1 Physics · Accepted Answer

Use Xₗ=ωL, X꜀=1/(ωC), Z=√[R²+(Xₗ−X꜀)²] and Iᵣₘₛ=Vᵣₘₛ/Z. The circuit condition gives 0.05.