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If the source impedance is inductive, for maximum transfer of power from the source to the load, the load should be
- a)capacitive
- b)resistive
- c)complex conjugate of complex source impedance
- d)none of the above
Correct answer is option 'A'. Can you explain this answer?
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If the source impedance is inductive, for maximum transfer of power fr...
Understanding Source Impedance
When dealing with electrical circuits, the source impedance can significantly affect power transfer. In this case, we have an inductive source impedance.
Inductive Source Impedance Characteristics
- An inductive impedance (Z = R + jXL) has a positive imaginary component (XL > 0).
- This leads to a phase shift where the current lags behind the voltage.
Maximum Power Transfer Theorem
For maximum power transfer from a source to a load, the load impedance (ZL) should ideally match the complex conjugate of the source impedance (ZS).
Complex Conjugate Matching
- If the source impedance is inductive, its complex conjugate will be resistive and capacitive (e.g., ZS = R + jXL, then ZL = R - jXL).
- Therefore, to offset the inductive reactance, a capacitive load is required since it introduces a negative imaginary component.
Why Choose Capacitive Load?
- A capacitive load (ZL = R - jXC) cancels out the inductive reactance of the source.
- This results in a purely resistive overall impedance, allowing maximum power transfer.
Conclusion
Thus, for a source with inductive impedance, using a capacitive load achieves maximum power transfer by balancing the reactive components. Therefore, the correct answer is indeed option 'A' - the load should be capacitive.
When dealing with electrical circuits, the source impedance can significantly affect power transfer. In this case, we have an inductive source impedance.
Inductive Source Impedance Characteristics
- An inductive impedance (Z = R + jXL) has a positive imaginary component (XL > 0).
- This leads to a phase shift where the current lags behind the voltage.
Maximum Power Transfer Theorem
For maximum power transfer from a source to a load, the load impedance (ZL) should ideally match the complex conjugate of the source impedance (ZS).
Complex Conjugate Matching
- If the source impedance is inductive, its complex conjugate will be resistive and capacitive (e.g., ZS = R + jXL, then ZL = R - jXL).
- Therefore, to offset the inductive reactance, a capacitive load is required since it introduces a negative imaginary component.
Why Choose Capacitive Load?
- A capacitive load (ZL = R - jXC) cancels out the inductive reactance of the source.
- This results in a purely resistive overall impedance, allowing maximum power transfer.
Conclusion
Thus, for a source with inductive impedance, using a capacitive load achieves maximum power transfer by balancing the reactive components. Therefore, the correct answer is indeed option 'A' - the load should be capacitive.
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If the source impedance is inductive, for maximum transfer of power from the source to the load, the load should bea)capacitiveb)resistivec)complex conjugate of complex source impedanced)none of the aboveCorrect answer is option 'A'. Can you explain this answer?
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