Question:

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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