Question #315004

 The capacitors have values C1 = 2.5 μF, C2 = 4.0 μF, C3 = 6.0 μF and C4 = 8.0 μF. Assume that the capacitors are connected in series. Find the equivalent capacitance of the circuit.


1
Expert's answer
2022-03-21T12:42:21-0400

Explanations & Calculations


  • If the equivalent capacitance is Ce\small C_e, then,

1Ce=12.5+14.0+16.0+18.0C=1.1μF\qquad\qquad \begin{aligned} \small \frac{1}{C_e}&=\small \frac{1}{2.5}+\frac{1}{4.0}+\frac{1}{6.0}+\frac{1}{8.0}\\ \small C&=\small 1.1\,\mu F \end{aligned}

  • When connected in series, the equivalent capacitance drops to a value even lower than the lowest capacitance in the arrangement.

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