-circuit contains a resistance of 2552, an inductance of 0.30H, a capacitance of
ID: 2303630 • Letter: #
Question
-circuit contains a resistance of 2552, an inductance of 0.30H, a capacitance of an ac-voltage source with a peak voltage of 25V and a frequency of 1.0kHz. (8) A series RLC 8.0uF, and (a) What is the reactance of the inductor? (b) What is the reactance of the capacitor? (c) What is the impedance of the circuit? (d) What is the phase angle? (e) Is the circuit inductive, capacitive, or in resonance? (f What is the rms-current in the circuit? (g) What is the rms-voltage across the resistor? (h) What is the rms-voltage across the capacitor? (i) What is the rms-voltage across the inductor? G) What is the power factor for this series RLC-circuit?Explanation / Answer
a] Inductive reactance XL = 2pi*f*L = 2pi*0.30*1000 = 1885 ohm
b] capacitive reactance XC = 1/[2pifC] = 1/[2pi*1000*8e-6] = 19.9 ohm
c] impedence Z = sqrt(R^2 + (XC-XL)^2) = sqrt(25^2 + (1885-19.9)^2) = 1865 ohm
d] phase angle = arccos(25/1865) = 89.2 degree
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