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A no. Of capacitors, each of capacitance 1uF and each one of which gets punctured if a potential difference just exceeding 500 volt is applied, are provided. Then an arrangement suitable for giving a capacitor of capacitance 3uF across which 2000volt may be applied requires at least: 1- 4 component capacitors 2- 12 component capacitors 3- 48 component capacitors 4- 16 component capacitors The answer is 3.?
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A no. Of capacitors, each of capacitance 1uF and each one of which get...
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A no. Of capacitors, each of capacitance 1uF and each one of which get...
Given:
- Capacitance of each capacitor = 1uF
- Potential difference at which each capacitor gets punctured = 500V

To find:
- Minimum number of capacitors required to achieve a capacitance of 3uF and withstand a potential difference of 2000V

Solution:

Step 1: Finding the number of capacitors in series
- To achieve a capacitance of 3uF, we can connect capacitors in series.
- The formula for the equivalent capacitance of capacitors in series is:
1/Ceq = 1/C1 + 1/C2 + 1/C3 + ...
where Ceq is the equivalent capacitance and C1, C2, C3, ... are the individual capacitances.
- Substituting the given values, we have:
1/3uF = 1/1uF + 1/1uF + 1/1uF
1/3uF = 3/1uF
1/3uF = 3
3uF = 1/3
Ceq = 3uF

Step 2: Finding the number of capacitors in parallel
- To withstand a potential difference of 2000V, we need to connect the capacitors in parallel.
- The potential difference across each capacitor in a parallel combination is the same as the applied potential difference.
- So, each capacitor must be able to withstand 2000V.
- Since each capacitor can withstand a potential difference just exceeding 500V, we need to connect at least 4 capacitors in parallel to achieve a total potential difference of 2000V.

Step 3: Total number of capacitors required
- To find the total number of capacitors required, we multiply the number of capacitors in series and the number of capacitors in parallel.
- Number of capacitors in series = 3 (from Step 1)
- Number of capacitors in parallel = 4 (from Step 2)
- Total number of capacitors = 3 * 4 = 12

Conclusion:
- To achieve a capacitance of 3uF and withstand a potential difference of 2000V, a minimum of 12 component capacitors are required. Therefore, the answer is option 2 - 12 component capacitors.
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A no. Of capacitors, each of capacitance 1uF and each one of which gets punctured if a potential difference just exceeding 500 volt is applied, are provided. Then an arrangement suitable for giving a capacitor of capacitance 3uF across which 2000volt may be applied requires at least: 1- 4 component capacitors 2- 12 component capacitors 3- 48 component capacitors 4- 16 component capacitors The answer is 3.?
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