An L-C-R series circuit is connected to a 220 V AC source with L=25 mH and R=100 Ω. If the voltage across the inductor is twice the voltage across the resistor and the source angular frequency is N rad s⁻¹, find N/100.
Physics · AC Circuits
JEE Advanced

Question

An L-C-R series circuit is connected to a 220 V AC source with L=25 mH and R=100 Ω. If the voltage across the inductor is twice the voltage across the resistor and the source angular frequency is N rad s⁻¹, find N/100.

Physics · AC Circuits

G1 Physics · Accepted Answer

Use Xₗ=ωL, X꜀=1/(ωC), Z=√[R²+(Xₗ−X꜀)²] and Iᵣₘₛ=Vᵣₘₛ/Z. The circuit condition gives 80.