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When is the effective capacitance of a capacitor increased?
- a)When the capacitors are connected in series
- b)When the capacitors are randomly connected
- c)When the capacitors are connected in parallel
- d)When the capacitors are connected in series and parallel simultaneously
Correct answer is option 'C'. Can you explain this answer?
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When is the effective capacitance of a capacitor increased?a)When the ...
The Effective Capacitance of Capacitors in Parallel
When capacitors are connected in parallel, their effective capacitance increases. This means that the total capacitance of the system is greater than the capacitance of any individual capacitor. This is because the voltage across each capacitor in parallel is the same, and the total charge stored in the system is the sum of the charges stored in each capacitor.
Explanation:
When capacitors are connected in parallel, the positive plates of all the capacitors are connected together, and the negative plates are connected together. This forms a parallel plate capacitor with an increased effective capacitance.
Formula:
The formula to calculate the effective capacitance of capacitors in parallel is:
C_total = C1 + C2 + C3 + ...
Where C_total is the effective capacitance and C1, C2, C3, etc. are the individual capacitances of the capacitors.
Example:
Let's consider an example where two capacitors C1 and C2 are connected in parallel. If the capacitance of C1 is 3 μF and the capacitance of C2 is 5 μF, then the effective capacitance of the system would be:
C_total = 3 μF + 5 μF
C_total = 8 μF
Therefore, when capacitors are connected in parallel, the effective capacitance is the sum of the individual capacitances.
Conclusion:
When capacitors are connected in parallel, their effective capacitance increases because the total charge stored in the system is the sum of the charges stored in each capacitor. This is useful in applications where a larger capacitance is required, such as in power supply filtering circuits or energy storage systems.
When capacitors are connected in parallel, their effective capacitance increases. This means that the total capacitance of the system is greater than the capacitance of any individual capacitor. This is because the voltage across each capacitor in parallel is the same, and the total charge stored in the system is the sum of the charges stored in each capacitor.
Explanation:
When capacitors are connected in parallel, the positive plates of all the capacitors are connected together, and the negative plates are connected together. This forms a parallel plate capacitor with an increased effective capacitance.
Formula:
The formula to calculate the effective capacitance of capacitors in parallel is:
C_total = C1 + C2 + C3 + ...
Where C_total is the effective capacitance and C1, C2, C3, etc. are the individual capacitances of the capacitors.
Example:
Let's consider an example where two capacitors C1 and C2 are connected in parallel. If the capacitance of C1 is 3 μF and the capacitance of C2 is 5 μF, then the effective capacitance of the system would be:
C_total = 3 μF + 5 μF
C_total = 8 μF
Therefore, when capacitors are connected in parallel, the effective capacitance is the sum of the individual capacitances.
Conclusion:
When capacitors are connected in parallel, their effective capacitance increases because the total charge stored in the system is the sum of the charges stored in each capacitor. This is useful in applications where a larger capacitance is required, such as in power supply filtering circuits or energy storage systems.
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When is the effective capacitance of a capacitor increased?a)When the ...
The effective capacitance of a capacitor is increased when the capacitors are connected in parallel. When the capacitors are connected in parallel, the equivalent capacitance is given by:
Cp = C1 + C2 + C3 +…….
When the capacitors are connected in parallel, the potential difference across each capacitor is the same.
Cp = C1 + C2 + C3 +…….
When the capacitors are connected in parallel, the potential difference across each capacitor is the same.
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When is the effective capacitance of a capacitor increased?a)When the capacitors are connected in seriesb)When the capacitors are randomly connectedc)When the capacitors are connected in paralleld)When the capacitors are connected in series and parallel simultaneouslyCorrect answer is option 'C'. Can you explain this answer?
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