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← JEE Main 2014 · 9 Apr · Shift 1
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JEE Main 2014 · 9 Apr · Shift 1, Physics question 17

Three capacitances, each of 3 μF, are provided. These cannot be combined to provide the resultant capacitance of :

Choose one option
Answer and worked solution

Official answer: D

Using all three 3 μF capacitors:

  • all in series: 1 μF;
  • all in parallel: 9 μF;
  • two in parallel, then in series with the third: 6⋅39=2\frac{6\cdot3}{9}=2 μF;
  • two in series, then in parallel with the third: 1.5+3=4.51.5+3=4.5 μF.

6 μF cannot be obtained.