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Answer :
To calculate the impedance of an RLC series circuit at 145 Hz, use the formula Z = sqrt(R^2 + (X_L - X_C)^2), with the given values for resistance, inductance, and capacitance, and calculate the inductive and capacitive reactances based on the frequency.
The question is about finding the impedance of an RLC series circuit at a specific frequency of 145 Hz which involves a resistor, inductor, and capacitor. The impedance in an RLC circuit is given by the formula Z = \\sqrt{R^2 + (X_L - X_C)^2}, where Z is the impedance, R is the resistance, X_L is the inductive reactance, and X_C is the capacitive reactance. For the given values:
- Resistance (R) = 2.6 \\Omega
- Inductance (L) = 95 \\mu H
- Capacitance (C) = 87.5 \\mu F
The inductive reactance is X_L = 2\\pi fL and the capacitive reactance is X_C = 1/(2\\pi fC), with f being the frequency. After calculating X_L and X_C, we can then find the impedance by plugging these values into the formula for Z.
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