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JEE Main 2026 (4 Apr, Shift 2) · Combination of Capacitors

Combination of Capacitors question from JEE Main 2026 (4 Apr, Shift 2)

Q17JEE Main 2026 · 4 APR · SHIFT 2Medium

Combination of Capacitors

From the circuit given below, the capacitance between terminals AA and BB shown in the circuit is ‾ μF\underline{\qquad}\ \mu\text{F}.

(take C1=C2=C3=1 μFC_1 = C_2 = C_3 = 1\ \mu\text{F} and C4=2 μFC_4 = 2\ \mu\text{F}.)

Figure

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Answer: (a)

  1. The top wire puts A and the node between C2C_2 and C3C_3 at the same potential.
  2. So C1C_1 and C2C_2 are in parallel between A and the node after C1C_1: 1+1=2 μF1 + 1 = 2\ \mu\text{F}; C3C_3 is directly between A and B.
  3. C4C_4 joins that node to B: (C1∥C2)(C_1 \parallel C_2) in series with C4C_4 =2×24=1 μF= \frac{2\times 2}{4} = 1\ \mu\text{F}.
  4. CAB=1+C3=1+1=2 μFC_{AB} = 1 + C_3 = 1 + 1 = 2\ \mu\text{F}
  5. So the answer is (a) 2.
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