Question
Download Solution PDFAn RLC series circuit has R =2 Ω, C = 20 μF and the inductance is adjusted such that the voltage across the resistance is maximum. If the applied voltage is 10 V at a frequency of 1000 rad/sec, then find the value of inductance L.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
- For a series RLC circuit at resonance, the inductive reactance becomes equal to the capacitive reactance.
- Thus, at the time of resonance, the circuit behaves as a purely resistive circuit.
- The value of resonant frequency is given by:
\(ω_c=\frac{1}{\sqrt{LC}}~rad/sec\)
Calculation:
For the given question; R = 2 Ω, ωc = 1000 rad/sec, C = 20 μF
\(ω_c=\frac{1}{\sqrt{LC}}~rad/sec\)
\(1000= \;\frac{1}{{\sqrt {L \times {{20}^{ - 6}}}}}\)
⇒ L = 0.05 H
Last updated on May 29, 2025
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