A circuit consists of a resistor,an inductor and a capacitor connected in series. If the resistance of a resistor is $ 25 \Omega $ and the value of inductive reactance is equal to capacitive reactance, then the net impedance of the circuit will be :

Q: A circuit consists of a resistor,an inductor and a capacitor connected in series. If the resistance of a resistor is $ 25 \Omega $ and the value of inductive reactance is equal to capacitive reactance, then the net impedance of the circuit will be :

25\Omega. In a series RLC circuit, the impedance is $Z=\sqrt{R^2+(X_L-X_C)^2}$. Since $X_L=X_C$, the reactive term becomes zero, so the impedance equals the resistance alone. Therefore the net impedance is $25\,\Omega$.

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25\Omega. In a series RLC circuit, the impedance is $Z=\sqrt{R^2+(X_L-X_C)^2}$. Since $X_L=X_C$, the reactive term becomes zero, so the impedance equals the resistance alone. Therefore the net impedance is $25\,\Omega$.

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