A series RLC circuit consists of a 70 Ω resistor, a 0.11 H inductor, and a 25 μF capacitor. It is attached to a 120 V/60 Hz power line. What is the peak current I at this frequency? What is the phase angle ϕ? What is the average power loss?
Added by David P.
Step 1
Given: R = 70 Ω Xl = 2πfL = 2π*60*0.11 = 41.47 Ω Xc = 1/(2πfC) = 1/(2π*60*25*10^-6) = 106.1 Ω Plugging in the values: Z = sqrt(70^2 + (41.47 - 106.1)^2) Z = sqrt(4900 + (-64.63)^2) Z = sqrt(4900 + 4179.7) Z = sqrt(9079.7) Z ≈ 95.3 Ω Show more…
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