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Alternating Current
Impedance of a Series LCR Circuit
1 question from 1 paper, each with its answer.
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- 1
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- years asked, 2017–2026
- 1 of 10
- of Alternating Current
- 1.67%
Concepts tested
- impedance from X_L, X_C and R
All Questions
2023 1 question
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The net impedance of circuit (as shown in figure) will be:
$X_L=5\ \Omega$, $X_C=10\ \Omega$, $R=10\ \Omega$ so $Z=\sqrt{125}=5\sqrt{5}\ \Omega$.
$\omega=2\pi f\Rightarrow\omega=100\pi$ $Z=\sqrt{R^2+(X_L-X_C)^2}$ $=\sqrt{10^2+\left(\omega L-\frac{1}{\omega C}\right)^2}$ $=\sqrt{100+(5-10)^2}=\sqrt{125}$ $Z=5\sqrt{5}\ \Omega$