NEET-XII-Physics

31: Capacitors

with Solutions - page 4
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  • #14
    It is required to construct a 10 µF capacitor which can be connected across a 200 V battery. Capacitors of capacitance 10 µF are available but they can withstand only 50 V. Design a combination which can yield the desired result.
    Ans : Let the number of capacitors in series (connected in a row) be x.
    The maximum voltage that the capacitors can withstand is 50 V.
    The voltage across each row should be equal to 200 V.
    Therefore,
    x × 50 = 200
    Thus,
    x = 4 capacitors
    Now,
    Let there be y such rows.
    So, the equivalent capacitance of the combination will be xy.
    ⇒ xy = 10
    ⇒ y = 10 x = 4 capacitors
    Thus, to yield the required result, the combination of 4 rows, each of 4 capacitors having capacitance 10 µF and breakdown voltage 50 V, is required.
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