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

Figure shows a network of capacitors where the numbers indicates capacitances in micro Farad. The value of capacitance \(C\) if the equivalent capacitance between point \(A\) and \(B\) is to be \(1\,\mu F\) is 

  1. A \(\frac{{32}}{{23}}\,\mu F\)
  2. B \(\frac{{31}}{{23}}\,\mu F\)
  3. C \(\frac{{33}}{{23}}\,\mu F\)
  4. D \(\frac{{34}}{{23}}\,\mu F\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(\frac{{32}}{{23}}\,\mu F\)

Step-by-step Solution

Detailed explanation

Capacitors \(2\, \mu \mathrm{F}\) and \(2\, \mu \mathrm{F}\) are parallel, their equivalent \(=4\, \mu \mathrm{F}\) \(6 \,\mu \mathrm{F}\) and \(12\, \mu \mathrm{F}\) are in series, their equivalent \(=4\, \mu \mathrm{F}\) Now \(4 \,\mu F(2 \text { and } 2\, \mu F)\) and…
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