KCET · Physics · Alternating Current
Which of the following combinations should be selected for better tuning of an \(L-C-R\) circuit used for communication?
- A \(R=20 \Omega L=1.5 \mathrm{H}, C=35 \mu \mathrm{~F}\)
- B \(R=25 \Omega L=2.5 \mathrm{H}, C=45 \mu \mathrm{~F}\)
- C \(R=25 \Omega, L=1.5 \mathrm{H}, C=45 \mu \mathrm{~F}\)
- D \(R=15 \Omega L=3.5 \mathrm{H}, C=30 \mu \mathrm{~F}\)
Answer & Solution
Correct Answer
(D) \(R=15 \Omega L=3.5 \mathrm{H}, C=30 \mu \mathrm{~F}\)
Step-by-step Solution
Detailed explanation
For better tunning of an \(L-C-R\) circuit used in for communication, quality factor \(Q\) must be high.
\(\therefore Q=\frac{1}{R} \sqrt{\frac{L}{C}}\)
In option (4), \(R\) and \(C\) is minimum and \(L\) is maximum.
Thus, the value of \(R, L\) and \(C\) given in option (4) suitable for better communication.
\(\therefore Q=\frac{1}{R} \sqrt{\frac{L}{C}}\)
In option (4), \(R\) and \(C\) is minimum and \(L\) is maximum.
Thus, the value of \(R, L\) and \(C\) given in option (4) suitable for better communication.
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