Find the inductance L for which current is maximum in a series LCR circuit with capacitance C = 10 μF and angular frequency ω = 1000 rad/s.
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Find the inductance L for which current is maximum in a series LCR circuit with capacitance C = 10 μF and angular frequency ω = 1000 rad/s.

G1 Physics · Accepted Answer

Step 1: Current in series LCR is greatest at resonance, where ω₀L=1/(ω₀C). Step 2: Rearrange to L=1/(ω₀²C). Step 3: Given ω₀=1000rad/s and C=10μF, L=1/[(1000)²×10⁻⁵]=0.10H=100mH. Answer D. Final answer: (D) 100 mH.