समानांतर अनुनादी परिपथ द्वारा अनुनाद पर प्रतिबाधा _____ है।

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SSC JE EE Previous Year Paper 15 (Held On: 26 Sep 2019 Evening)
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  1. अधिकतम, 1/CR
  2. अधिकतम, L/CR
  3. न्यूनतम, L/CR
  4. न्यूनतम, 1/CR

Answer (Detailed Solution Below)

Option 2 : अधिकतम, L/CR
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समानांतर अनुनादी परिपथ में, प्रेरणिक प्रतिघात (XL) धारिता प्रतिघात (XC) के बराबर है। यह परिपथ शुद्ध प्रतिरोधक बन जाता है।

अनुनाद पर, XL = XC

समानांतर अनुनाद पर, प्रतिबाधा अधिकतम हो जाती है।

SSC Network D6

समानांतर अनुनाद पर लाइन धारा Ir = IL cos ϕ

\(\frac{V}{{{Z_r}}} = \frac{V}{{{Z_1}}}X\frac{R}{{{Z_1}}}or\frac{1}{{{Z_r}}} = \frac{R}{{Z_L^2}}\;\)

\(\frac{1}{{{Z_r}}} = \frac{{\frac{R}{L}}}{C} = \frac{{CR}}{L}\left( {as\;Z_L^2 = \frac{L}{C}} \right)\)

इसलिए, परिपथ प्रतिबाधा इस प्रकार दी जाएगी

\({Z_r} = \frac{L}{{CR}}\)

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