Question

In the series RLC circuit, the capacitive reactance is 10Ω, Inductive reactance is 30Ω and the resistance is 20Ω. The magnitude of the total impedance is___
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Answer 1

Answer:

The impedance of the circuit is $34.64\text{ }\Omega$.

Explanation:

Given information:

• Capacitive resistance $X_C=10\text{ }\Omega$.
• Inductive resistance $X_L=30\text{ }\Omega$.
• Resistive resistance $R=20\text{ }\Omega$.

Total impedance of the circuit is given as,

$Z=\sqrt{R^2+(X_L-X_C)^2$

Substituting all known values,

$Z=\sqrt{(20\text{ }\Omega)^2+((30\text{ }\Omega)^2-(10\text{ }\Omega)^2)}\\=34.64\text{ }\Omega$

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