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JEE Mains · Physics · STD 12 - 2. Electric potential and capacitance

चित्रानुसार \(C _{1}=2 \,\mu F , C _{2}=6\, \mu F\) तथा \(C _{3}=12\, \mu F\) धारिता के तीन धारित्र जुड़े हैं। धारित्र \(C _{1}, C _{2}\) तथा \(C _{3}\) पर क्रमशः आवेशों का अनुपात ज्ञात कीजिए।

  1. A \(2: 1: 1\)
  2. B \(2: 3: 3\)
  3. C \(1: 2: 2\)
  4. D \(3: 4: 4\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(1: 2: 2\)

Step-by-step Solution

Detailed explanation

\(\left(V_{D}-V\right) C_{2}+\left(V_{D}-0\right) C_{3}=0\) \(\left(V_{D}-V\right) 6+\left(V_{D}-0\right) 12=0\) \(V_{D}-V+2 V_{D}=0\) \(V_{D}=\frac{V}{3}\) \({q}_{2}=\left({V}-{V}_{{D}}\right) {C}_{2}=\left({V}-\frac{{V}}{3}\right)(6 \mu {F})\) \({q}_{2}=(4 {V}) \mu {F}\)…
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