A series RLC circuit has a capacitor with a capacitance of 50.0 μF , an inductor with an inductance of 1.40 H and a resistor with a resistance of 82.0 Ω. The circuit has a rms current of 2.60 A when the frequency is 55.0 Hz. What is the average power loss?
Question
A series RLC circuit has a capacitor with a capacitance of 50.0 μF , an inductor with an inductance of 1.40 H and a resistor with a resistance of 82.0 Ω. The circuit has a rms current of 2.60 A when the frequency is 55.0 Hz. What is the average power loss?
Solution
The average power loss in an RLC circuit can be calculated using the formula P = I^2 * R, where P is the power, I is the current, and R is the resistance.
Given: I = 2.60 A (rms current) R = 82.0 Ω (resistance)
Substitute the given values into the formula:
P = (2.60 A)^2 * 82.0 Ω P = 6.76 A^2 * 82.0 Ω P = 554.72 W
Therefore, the average power loss in the circuit is 554.72 Watts.
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