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The capacitive reactance in an A.C. circ...

The capacitive reactance in an A.C. circuit is

A

effective resistance due to capacitor

B

effective wattage

C

effective voltage

D

none of the above

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The correct Answer is:
To solve the question regarding the capacitive reactance in an A.C. circuit, we will follow these steps: ### Step-by-Step Solution: 1. **Understanding the Concept**: Capacitive reactance (Xc) is a measure of how much a capacitor resists the flow of alternating current (A.C.). It is an important concept in A.C. circuits. 2. **Formula for Capacitive Reactance**: The formula for capacitive reactance is given by: \[ X_c = \frac{1}{\omega C} \] where: - \(X_c\) is the capacitive reactance, - \(\omega\) is the angular frequency of the A.C. source, and - \(C\) is the capacitance of the capacitor. 3. **Understanding Angular Frequency**: Angular frequency (\(\omega\)) is related to the frequency (f) of the A.C. source by the equation: \[ \omega = 2\pi f \] This means that as the frequency increases, the angular frequency also increases. 4. **Analyzing the Effect of Capacitance**: From the formula \(X_c = \frac{1}{\omega C}\), we can see that: - If the capacitance \(C\) increases, the capacitive reactance \(X_c\) decreases. - If the angular frequency \(\omega\) increases, the capacitive reactance \(X_c\) also decreases. 5. **Conclusion**: The capacitive reactance in an A.C. circuit effectively restrains the flow of current depending on the values of capacitance and frequency. Therefore, it is a crucial factor in determining how capacitors behave in A.C. circuits. ### Final Answer: The capacitive reactance in an A.C. circuit is given by the formula \(X_c = \frac{1}{\omega C}\).
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Knowledge Check

  • Assertion : The capacitive reactance limits the amplitude of the current in a purely capacitive circuit. Reason : Capacitive reactance is proportional to the frequency and the capacitance.

    A
    If both assertion ans reason are true ans reaason is the correct explanation of assertion.
    B
    If both assertion and reason are true but reason is not the correct explanation of assertion.
    C
    If assertion istrue but reason is false.
    D
    If both assertion and reason are false.
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