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Force on a Finite Wire

Determine the...

Question

Determine the potential difference across the plates of the capacitor $^{'} C_{1}^{'}$ of the network shown in the figure. [Assume $E_{2} > E_{1}$ ]

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Solution

b'As $E_{2} > E_{1}$
$∴$ the direction is clockwise
using kirchoff rule,
$\frac{q}{C_{2}} - E_{1} + \frac{q}{C_{1}} + E_{2} = 0$
as $V_{1} = \frac{q}{C_{1}} a n d V_{2} = \frac{q}{C_{2}}$
$∴ V_{1} = E_{1} - E_{2} - \frac{q}{C_{2}}$
$V_{2} = E_{1} - E_{2} - \frac{q}{C_{1}}$
'

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