Question

Consider the combination of capacitors shown in the diagram, where C1 = 3.00uF , C2 = 11.0uF , C3 = 3.00uF , and C4 = 5.00uF .

Find the equivalent capacitance CA of the network of capacitors.

Express your answer in microfarads.

Answer 1

in series \(\frac{1}{C_{\mathrm{eq}}}=\frac{1}{C_{1}}+\frac{1}{C_{2}}\)

and in parallel \(C_{\mathrm{eq}}=C_{1}+C_{2}\)

equivalent capacitance = here \(\mathrm{c} 3\) and \(\mathrm{c} 4\) are parallel and combined parallel to \(\mathrm{C} 2\),

\((\mathrm{C} 2+\mathrm{C} 3+\mathrm{C} 4)\) in series with \(\mathrm{C} 1\)

\(=19\) in series with \(3=19^{*} 3 /(19+3)\)

\(=57 / 22\)