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Parallel and Series Combination of Capacitors

When do we us...

Question

When do we use .U= 1/2(C1+C2)V^2 And U=1/2 (C1C2/C1+C2) *V^2

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Solution

Basic equation U = 1/2(C)V^2

capacitors connectd in parallel C(total) = c1+c2+c3.....
so the equation becomes U= 1/2(C1+C2)V^2 (so this is potential energy of capacitors in parallel)

capacitors connected in series 1/C(total) = 1/c1 + 1/c2 ....
so the equation becomes U=1/2 (C1C2/C1+C2) *V^2 (so this is potential energy of capacitors in series )

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u = a_{1} x + b_{1} y + c_{1} = 0

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\frac{a_{1}}{a_{2}} = \frac{b_{1}}{b_{2}} = \frac{c_{1}}{c_{2}}

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u = a_{1} x + b_{1} y + c_{1} = 0, v = a_{2} x + b_{2} y + c_{2} = 0

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, then the curve

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