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A capacitance of is required in an electrical circuit across a potential difference of . A large number of capacitors are available which can withstand a potential difference of not more than . The minimum number of capacitors required to achieve this is:
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The correct answer is:
Let us assume that we connect (whole number) capacitors in series such that the potential difference across the combination is . This means the potential difference across each capacitor is
.
This means we need to connect at least capacitors in series to make sure that the potential across each one is less than .
Minimum no. of capacitors
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