12th Class Physics Alternating Current / प्रत्यावर्ती धारा Question Bank MCQs - Alternating Current

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

    A) \[\operatorname{R}\text{ }=\text{ }20\text{ }\Omega ,\operatorname{L}\text{ }=\text{ }1.5\text{ }\operatorname{H}, C\text{ }=\text{ }35\text{ }\mu \operatorname{F}\]

    B) \[\operatorname{R}\text{ }=\text{ }25\text{ }\Omega ,\operatorname{L}\text{ }=\text{ 2}.5\text{ }\operatorname{H}, C\text{ }=\text{ 4}5\text{ }\mu \operatorname{F}\]

    C) \[\operatorname{R}\text{ }=\text{ 1}5\text{ }\Omega ,\operatorname{L}\text{ }=\text{ 3}.5\text{ }\operatorname{H}, C\text{ }=\text{ 30 }\mu \operatorname{F}\]

    D) \[\operatorname{R}\text{ }=\text{ 2}5\text{ }\Omega ,\operatorname{L}\text{ }=\text{ 1}.5\text{ }\operatorname{H}, C\text{ }=\text{ 45 }\mu \operatorname{F}\]  

    Correct Answer: C

    Solution :

    Option [c] is correct.
    Explanation: Quality factor (Q) of an L-C-R Circuit is given by, \[\operatorname{Q}=\frac{1}{R}\sqrt{\frac{L}{C}}\]
    Tuning of an L-C-R circuit depends on quality factor of the circuit. Tuning will be better when quality factor of the circuit is high.
    For Q to be high, R should be low L should be high and C should be low. Therefore, option is most suitable.


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