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When is tanφ negative?
  • a)
    When inductive reactance is less than capacitive reactance
  • b)
    When inductive reactance is greater than capacitive reactance
  • c)
    When inductive reactance is equal to capacitive reactance
  • d)
    When inductive reactance is zero
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
When is tanφ negative?a)When inductive reactance is less than capa...
tanφ is positive when inductive reactance is less than capacitive reactance because current will lead the voltage.
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When is tanφ negative?a)When inductive reactance is less than capa...

Explanation:

When is tanφ negative?

- The phase angle φ in an AC circuit is negative when the inductive reactance (XL) is equal to the capacitive reactance (XC).
- This occurs when XL = XC, leading to a net reactance of zero in the circuit.
- At this point, the impedance is purely resistive, and the phase angle is negative.

Reasoning:

- In an AC circuit, the impedance is the total opposition to the flow of current, consisting of both resistance and reactance.
- Inductive reactance (XL) is the opposition to the flow of current due to inductors, while capacitive reactance (XC) is the opposition due to capacitors.
- When XL is equal to XC, they cancel each other out, resulting in a net reactance of zero.
- In this case, the impedance is purely resistive, leading to a negative phase angle.

Conclusion:

- Therefore, tanφ is negative when inductive reactance is equal to capacitive reactance in an AC circuit.
- This balance between inductive and capacitive reactance results in a purely resistive impedance with a negative phase angle.
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