Question
Download Solution PDFAn RLC series circuit has R = 5 Ω and L = 1 H. Which of the following values of capacitance will make this circuit critically damped?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept
The value of the damping ratio for a series RLC circuit is given by:
\(ζ={R\over 2}\sqrt{C\over L}\)
where, ζ = Damping ratio
R = Resistance
L = Inductance
C = Capacitance
Calculation
Given, R = 5 Ω and L = 1 H
For a critically damped circuit, ζ = 1
\(1={5\over 2}\sqrt{C\over 1}\)
\(C={4\over 25}=0.16 \space F\)
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