What equation represents the maximum power-transfer condition?

What equation represents the maximum power-transfer condition?

• A. R(load) = R(source)
• B. Z(load) = Z*(load)
• C. V(Phase) = V(Line)/√3
• D. Lenz's law

Answer: (A)

The maximum power-transfer condition states that to achieve the maximum transfer of power from a source to a load in an electrical circuit, the load resistance must match the source resistance. This principle applies to both AC and DC circuits, where the load resistance is effectively the same as the output resistance of the source. When the load resistance equals the source resistance, the power transferred is maximized because the voltage across the load is optimized, leading to maximum current flowing through it under those conditions. This relationship ensures that the potential difference across the load is neither dropped excessively at the source nor dissipated in the source's internal resistance. In practical applications, this condition is critical in designing amplifiers, electrical power systems, and even in transmission lines, where efficient power delivery is paramount. Matching impedances in AC circuits involves considering not just resistance but also reactance, which is why other choices relate to different concepts that are not directly about the maximum power-transfer condition. Other options involve more specific scenarios or principles that do not address the critical timing and relationships between load and source for power transfer. Addressing these other aspects or parameters would depend on context but are not part of the fundamental maximum power transfer criteria.

The maximum power-transfer condition states that to achieve the maximum transfer of power from a source to a load in an electrical circuit, the load resistance must match the source resistance. This principle applies to both AC and DC circuits, where the load resistance is effectively the same as the output resistance of the source.

When the load resistance equals the source resistance, the power transferred is maximized because the voltage across the load is optimized, leading to maximum current flowing through it under those conditions. This relationship ensures that the potential difference across the load is neither dropped excessively at the source nor dissipated in the source's internal resistance.

In practical applications, this condition is critical in designing amplifiers, electrical power systems, and even in transmission lines, where efficient power delivery is paramount. Matching impedances in AC circuits involves considering not just resistance but also reactance, which is why other choices relate to different concepts that are not directly about the maximum power-transfer condition.

Other options involve more specific scenarios or principles that do not address the critical timing and relationships between load and source for power transfer. Addressing these other aspects or parameters would depend on context but are not part of the fundamental maximum power transfer criteria.