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Calculate the equivalent capacitance between points A and B for the given circuit, assuming all capacitors are 1 microfarad.

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Here are the solutions for problems 44 and 45.

: Equivalent Capacitance

To find the equivalent capacitance between A and B, we combine the capacitors in stages. Each capacitor has a capacitance of 1μF1 \mu F.

  1. Calculate the equivalent capacitance of the first parallel combination.

    The two capacitors connected in parallel between point A and the central section are 1μF1 \mu F each. For parallel capacitors, the capacitances add:

    Cp1=1μF+1μF=2μFC_{p1} = 1 \mu F + 1 \mu F = 2 \mu F

  2. Calculate the equivalent capacitance of the second parallel combination.

    Similarly, the two capacitors connected in parallel between the central section and point B are $1 \

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