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30 July, 17:18

To avoid breakdown of the capacitors, the maximum potential difference to which any of them can be individually charged is 125 V. Determine the maximum energy stored in the series combination.

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  1. 30 July, 21:09
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    The maximum energy stored in the combination is 0.0466Joules

    Explanation:

    The question is incomplete. Here is the complete question.

    Three capacitors C1-11.7 μF, C2 21.0 μF, and C3 = 28.8 μF are connected in series. To avoid breakdown of the capacitors, the maximum potential difference to which any of them can be individually charged is 125 V. Determine the maximum energy stored in the series combination.

    Energy stored in a capacitor is expressed as E = 1/2CtV² where

    Ct is the total effective capacitance

    V is the supply voltage

    Since the capacitors are connected in series.

    1/Ct = 1/C1+1/C2+1/C3

    Given C1 = 11.7 μF, C2 = 21.0 μF, and C3 = 28.8 μF

    1/Ct = 1/11.7 + 1/21.0 + 1/28.8

    1/Ct = 0.0855+0.0476+0.0347

    1/Ct = 0.1678

    Ct = 1/0.1678

    Ct = 5.96μF

    Ct = 5.96*10^-6F

    Since V = 125V

    E = 1/2 (5.96*10^-6) (125) ²

    E = 0.0466Joules
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