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Question

Physics Question on Alternating current

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

A

R=20Ω,L=1.5H,C=35μFR =20\, \Omega, L =1.5 H , C =35\, \mu F

B

R=25Ω,L=2.5H,C=45μFR = 25 \Omega, L = 2.5 H , C = 45\, \mu F

C

R=15Ω,L=3.5H,C=30μFR = 15 \Omega, L = 3.5 H , C = 30 \mu F

D

R=25Ω,L=1.5H,C=45μFR = 25 \Omega, L = 1.5 H , C = 45 \mu F

Answer

R=15Ω,L=3.5H,C=30μFR = 15 \Omega, L = 3.5 H , C = 30 \mu F

Explanation

Solution

For better tuning quality factor should be high
Q=1RLCQ = \frac{1}{R} \sqrt{\frac{L}{C}}
for QmaxQ_{max}, R should be least
\therefore Best answer is
R=15  Ω,L=3.5H,C=30μFR = 15 \; \Omega, L = 3.5 H, C = 30 \mu F