WEBVTT

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This is College Physics
Answers with Shaun Dychko.

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We have capacitance one is 5 microfarads
and capacitance two is eight microfarads.

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And the question is, what equivalent
capacitances can you make of that two together?

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And so, there are two ways
to connect them together.

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One is in series, and then
the other is in parallel.

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And, we'll get different answers
for each type of connection.

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So in series, we have one and
then the other in this circuit.

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And, to find the equivalent
capacitance here,

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we have to take the reciprocal
of each capacitance.

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And then, add those reciprocals together, and
then take the reciprocal of that result.

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So, we have one over five microfarads
plus one over eight microfarads.

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And then, take the reciprocal of that
sum and we get 3.08 microfarads.

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Maybe I should write that down.

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So, one over five microfarads
plus one over eight microfarads.

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Take that sum and then raise that result
to negative one and we end up with 3.08.

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And then in parallel, we have the wire
going to one side of capacitor one,

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and then also going to one
side of capacitor two,

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and then the other side of these two
capacitors are connected together,

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this is better.

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And so, the equivalent
capacitance will be

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the arithmetic sum of the
individual capacitances.

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And so, we have five microfarads plus
eight, giving us 13.0 microfarads.