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Calculate the equivalent capacitance between terminals a and b for the given circuit.

Three capacitors in parallel between terminals a and b: C1 of 15 F, C2 of 25 F and C3 of 25 F.

  • A.15 F
  • B.27.5 F
  • C.35 F
  • D.65 F

Answer: D

The three capacitors are connected in parallel between the terminals a and b, and in a parallel connection the capacitances add up, since the plate areas add.

\[ C_{ab} = 15 + 25 + 25 = 65\ \mathrm{F} \]

So the equivalent capacitance is 65 F, option (D). The values 15 F, 27.5 F and 35 F would result from combining the capacitors in series or from adding only some of them; in series the reciprocals would add instead. In a series connection the equivalent capacitance would be smaller than the smallest of the three, 15 F, so the answers of 15 F and below belong to a series arrangement.

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