Question
Download Solution PDFआंतरिक प्रतिरोध वाली बैटरियों का EMF नीचे दिखाए गए परिपथ में जुड़ा हुआ है। टर्मिनल 'AB' के बीच परिपथ का समतुल्य EMF और आंतरिक प्रतिरोध ______ के बराबर है।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFअवधारणा:
इस परिपथ में सभी सेल समानांतर में हैं और समानांतर में समतुल्य आंतरिक प्रतिरोध इस प्रकार दिया गया है,
- \(\frac{1}{r_{eq}}=\frac{1}{r_1}+\frac{1}{r_2}+\frac{1}{r_3}\)
और समतुल्य EMF इस प्रकार दिया गया है,
- \(\epsilon_{eq}=r_{eq}(\frac{\epsilon_1}{r_1}+\frac{\epsilon_2}{r_2}+\frac{\epsilon_3}{r_3})\)
स्पष्टीकरण:
\(\frac{1}{r_{eq}}=\frac{1}{r_1}+\frac{1}{r_2}+\frac{1}{r_3}\)
\(\frac{1}{r_{eq}}=\frac{1}{0.1}+\frac{1}{0.2}+\frac{1}{0.2}\)
\(r_{eq}=\frac{1}{20}=0.05\Omega\)
\(\epsilon_{eq}=r_{eq}(\frac{\epsilon_1}{r_1}+\frac{\epsilon_2}{r_2}+\frac{\epsilon_3}{r_3})\)
\(\epsilon_{eq}=0.05(\frac{2}{0.1}-\frac{4}{0.2}+\frac{6}{0.2})\)
\(\epsilon_{eq}=\frac{5\times30}{100}=1.5V\)
अतः सही उत्तर विकल्प 4 है।
Last updated on Jun 19, 2025
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