An inductor of inductance 2 text{ } mutext{H} | vedclass

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Question

(A) परिपथ में अधिकतम धारा तब प्रवाहित होती है जब परिपथ अनुनाद (resonance) की स्थिति में होता है।अनुनाद की स्थिति में, प्रेरणिक प्रतिघात $(X_L)$ धारिती

Vedclass · Accepted Answer

$8000$

Vedclass · Answer

(A) परिपथ में अधिकतम धारा तब प्रवाहित होती है जब परिपथ अनुनाद (resonance) की स्थिति में होता है।अनुनाद की स्थिति में, प्रेरणिक प्रतिघात $(X_L)$ धारितीय प्रतिघात $(X_C)$ के बराबर होता है।$X_L = X_C \implies \omega L = \frac{1}{\omega C}$यहाँ, $\omega = 2\pi f$ है।अतः, $C = \frac{1}{\omega^2 L} = \frac{1}{(2\pi f)^2 L} = \frac{1}{4\pi^2 f^2 L}$दिया गया है: $L = 2 	imes 10^{-6} 	ext{ H}$, $f = 10 	ext{ kHz} = 10^4 	ext{ Hz}$, $\pi^2 = 10$$C = \frac{1}{4 	imes 10 	imes (10^4)^2 	imes 2 	imes 10^{-6}}$$C = \frac{1}{40 	imes 10^8 	imes 2 	imes 10^{-6}} = \frac{1}{80 	imes 10^2} = \frac{1}{8000}$अतः, $x = 8000$।

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