What is the condition for the below system to be critically damped? [Figure description: A series RLC low-pass circuit: input Vin at left across the top wire and bottom wire; a resistor R then an inductor L in series along the top wire; a capacitor C connected from the top wire (after L) to the bottom wire; output Vout taken across the capacitor.]
- A. R sqrt(L/C) = 1
- B. (R/2) sqrt(L/C) = 1
- C. 1/sqrt(LC) = 1
- D. (R/2) sqrt(C/L) = 1
Answer: D. (R/2) sqrt(C/L) = 1
Explanation: Output across C of a series RLC: damping ratio ζ = (R/2)√(C/L); critical damping requires ζ = 1.