Question

Derive the equivalent circuit for a parallel connection of ideal capacitors. Assume that the initial voltage across the paralleled capacitors is $v\left(t_{0}\right)$. (Hint: Sum the currents into the string of capacitors, recognizing that the parallel connection forces the voltage across each capacitor to be the same.)

          Derive the equivalent circuit for a parallel connection of ideal capacitors. Assume that the initial voltage across the paralleled capacitors is $v\left(t_{0}\right)$. (Hint: Sum the currents into the string of capacitors, recognizing that the parallel connection forces the voltage across each capacitor to be the same.)
        
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University Physics with Modern Physics
University Physics with Modern Physics
Hugh D. Young 14th Edition
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Derive the equivalent circuit for a parallel connection of ideal capacitors. Assume that the initial voltage across the paralleled capacitors is $v\left(t_{0}\right)$. (Hint: Sum the currents into the string of capacitors, recognizing that the parallel connection forces the voltage across each capacitor to be the same.)
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Transcript

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00:01 Hello student, to solve the given question for parallel connection, firstly for the capacitor c1, we can find the value for current i1 equals c1 into dv1 divided by dt.
00:13 Similarly, for capacitor c2, the current i2 will become c2 dv2 divided by dt.
00:23 From these relations, since we know that the total current i is 0, so it can be written as i1 plus i2 equals i...
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