A capacitor of capacity C 1 = 1 µF can withstand maximum voltage V 1 = 6 kV and other capacitor C 2 = 3µF can withstand maximum voltage V 2 = 4 kV. If these are connected in series, then the combined system can withstand a maximum voltage at-
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When capacitors are connected in series, the charge on each capacitor is the same. The maximum charge the combined system can withstand is limited by the capacitor that can hold the least amount of charge. In this case,
can only hold a maximum charge of
, which is less than the
that
can hold. Therefore, the maximum charge for the series system is
.
To find the total maximum voltage, we first need to find the equivalent capacitance (
) of the series combination using the formula
:


Now, we can use the maximum charge for the series system and the equivalent capacitance to find the maximum voltage (
) using
:

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