Question:
The transfer function of an RLC series circuit when input voltage is fed to \( R, L \) and output voltage is across \( C \) is:
The transfer function of an RLC series circuit when input voltage is fed to \( R, L \) and output voltage is across \( C \) is:
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Use voltage division and express each impedance in Laplace domain: \( Z_L = sL, Z_C = 1/sC \).
Updated On: May 23, 2025
- \( \frac{1}{s^2LC + sRL + 1} \)
- \( \frac{1}{s^2RL + sLC + 1} \)
- \( \frac{1}{s^2RC + sLC + 1} \)
- \( \frac{1}{s^2LC + sRC + 1} \)
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The Correct Option is D
Solution and Explanation
In an RLC series circuit, applying voltage divider in Laplace domain:
\[
V_C(s) = \frac{1/sC}{sL + R + 1/sC} \cdot V(s)
\]
\[
\Rightarrow \frac{V_C(s)}{V(s)} = \frac{1}{s^2LC + sRC + 1}
\]
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