Which of the following combinations should be selected for better tuning of an L-C-R circuit used for communication?

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R=20Ω,L=1.5H,C=35μF

R=25Ω,L=2.5H,C=45μF

R=15Ω,L=3.5H,C=30μF

R=25Ω,L=1.5H,C=45μF

answer is C.

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Detailed Solution

Quality factor of an L-C-R circuit is given by,Q=1RLCQ1=1201.535×10-6=50×370=10.35Q2=125×2.545×10-6=40×590=9.43Q3=1153.530×10-6=10015353=22.77Q4=125×1.545×10-6=4030=7.30Clearly Q3 is maximum ofQ1Q2Q3 and Q4. Hence, option(c) should be selected for better tuning of an L-C-R circuit.

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