When 100 V DC is applied across a solenoid a current of 1 A flows in it. When 100 V AC is applied across the same coil, the current drops to 0.5 A. If the frequency of the AC source is 50 Hz, the impedance and inductance of the solenoid are:
Options

Question

When 100 V DC is applied across a solenoid a current of 1 A flows in it. When 100 V AC is applied across the same coil, the current drops to 0.5 A. If the frequency of the AC source is 50 Hz, the impedance and inductance of the solenoid are:

Options

G1 Physics · Accepted Answer

Use Xₗ=ωL, X꜀=1/(ωC), Z=√[R²+(Xₗ−X꜀)²] and Iᵣₘₛ=Vᵣₘₛ/Z. The circuit condition gives 200Ω, 0.55 H.