एक LCR परिपथ की अनुनादी आवृत्ति का गणितीय रूप किसके बराबर है?

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Airforce Group X 4 November 2020 Memory Based Paper
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Answer (Detailed Solution Below)

Option 4 :
Free
Electric charges and coulomb's law (Basic)
10 Qs. 10 Marks 10 Mins

Detailed Solution

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अवधारणा :

  • संधारित्र, प्रतिरोधक और प्रेरक युक्त ac परिपथ को LCR परिपथ कहा जाता है।
  • एक श्रृंखला LCR परिपथ के लिए, परिपथ का कुल विभवान्तर निम्नानुसार दिया गया है:

 

जहां VR = R के पार विभवान्तर, VL = L के पार विभवान्तर, VC = C के पार विभवान्तर

  • श्रृंखला LCR परिपथ के लिए परिपथ की प्रतिबाधा (Z) निम्न द्वारा दिया जाता है:

जहाँ R = प्रतिरोध, XL = प्रेरणिक प्रतिघात और XC = संधारित प्रतिघात

गणना:

  • श्रृंखला LCR परिपथ के लिए परिपथ की प्रतिबाधा (Z) निम्न द्वारा दिया जाता है:

 

  • प्रेरणिक प्रतिघात

⇒ XL = Lω

  • संधारित प्रतिघात

  • अनुनाद तब होगा जब XL = XC

⇒ XL = XC

जैसा कि हम जानते हैं, ω = 2πf

जहाँ f = आवृत्ति

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