A 120-V rms signal at 60 Hz is applied across a series combination of a 30-mH inductor and a 100-Ω resistor.What is the rms value of the current in this circuit?
A)0.80 A
B)1.2 A
C)1.4 A
D)1.6 A
E)1.8 A

Question

Quizplus · Accepted Answer

The impedance Z of the circuit is calculated using Z = √(R² + (ωL)²), where ω = 2πf. For f = 60 Hz and L = 30 mH, ωL = 2π(60)(0.03) = 11.31 Ω. Thus, Z = √(100² + 11.31²) ≈ 100.64 Ω. The rms current I is then V/Z = 120/100.64 ≈ 1.2 A.

A 120-V Rms Signal at 60 Hz Is Applied Across