Question

For the RC circuit shown, the condition for obtaining \( \left|\frac{V_0}{V_{\text{in}}}\right| = \frac{1}{3} \) at frequency \( \omega \) rad/sec is:

• A. \( 3\omega CR - 1 = 0 \)
• B. \( 2\omega CR - 1 = 0 \)
• C. \( 3\omega CR - 2 = 0 \)
• D. \( \omega CR - 1 = 0 \)

Hint:

Use standard frequency response formulas for symmetrical RC ladders.

Answer 1

The Correct Option is D

This is a two-stage low-pass RC ladder network. For a symmetric RC filter to give output voltage as 1/3 of the input: \[ \left| \dfrac{V_0}{V_{\text{in}}} \right| = \dfrac{1}{3} \Rightarrow \omega CR = 1 \]