alternating-currents Question 13

Question: Q. 1. Which of the following combinations should be selected for better tuning of an LCR circuit used for communication?

(a) R=20Ω,L=1.5H,C=35μF.

(b) R=25Ω,L=2.5H,C=45μF.

(c) R=15Ω,L=3.5H,C=30μF.

(d) R=25Ω,L=1.5H,C=45μF.

[NCERT Exemplar]

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Solution:

Ans. Correct option : (c)

Explanation : Quality factor (Q) of an LCR circuit is given by, Q=1RLC Tuning of an LCR circuit depends on quality factor of the circuit. Tuning will be better when quality factor of the circuit is high.

As, quality factor (Q) of an LCR circuit is given by,

Q=1RLC

For Q to be high, R should be low, L should be high and C should be low.

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