Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 12
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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 - Physics

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Question

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.

Solution

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.

  Is there an error in this question or solution?

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Solution 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 Concept: Capacitors and Capacitance.
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