P7.4-4 The circuit shown in Figure P 7.4-4 contains seven capacitors, each having capacitance C. The source voltage is given by

Find the current i(t) when C = 1 F.

Figure P7.4-4

So we start with two capacitors in series on the right. We can add them and get

Redrawing circuit we get

Now we can add the two capacitors in parallel and get

Redrawing circuit

Combining the two caps in series we get

And circuit becomes

add the two capacitors in parallel and get

Finally we have three capacitors in series

So the final effective capacitance is

We find the current by

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This page last updated on April 5, 2019