Question Detail
Question
A given RLC circuit has R = 100Ω, L = 1H and C = 10μF all connected in series with a source of 200 sin ωt with ω = 400. Calculate the rms current.
Correct Answer
Option B is the correct answer.
Detailed Explanation
X_L = ωL = 400×1 = 400Ω. X_C = 1/(ωC) = 1/(400×10×10^-6) = 250Ω. Z = √(100² + (400-250)²) = √(10000+22500) = 180.3Ω. I_rms = (200/√2)/180.3 = 141.4/180.3 = 0.784A.
Hint
Impedance Z = √(R² + (X_L - X_C)²).