What is the relationship between line voltage and phase voltage in a Y-connected load?

What is the relationship between line voltage and phase voltage in a Y-connected load?

• A. Line voltage is greater than phase voltage
• B. Phase voltage is equal to line voltage
• C. Phase voltage is the square root of line voltage
• D. Line voltage is equal to phase voltage multiplied by the square root of three

Answer: (D)

In a Y-connected (or star-connected) load, the relationship between line voltage and phase voltage is defined by the properties of the connection. In a Y-connection, each phase voltage is one of the voltages across the individual loads, while the line voltage is the voltage between any two of the three phases. For a Y-connected load, the line voltage is equal to the phase voltage multiplied by the square root of three. This can be mathematically expressed as: \[ V_{line} = V_{phase} \times \sqrt{3} \] Thus, for each phase, the phase voltage is less than the line voltage, and the line voltage is derived from the phase voltages due to the geometry of the connection in a three-phase system. This is crucial in power systems for correctly calculating voltage values and ensuring that equipment is designed to handle the appropriate voltages. Understanding this relationship is vital for doing calculations related to power, current, and voltage in electrical engineering, particularly in systems involving three-phase power distribution.

In a Y-connected (or star-connected) load, the relationship between line voltage and phase voltage is defined by the properties of the connection. In a Y-connection, each phase voltage is one of the voltages across the individual loads, while the line voltage is the voltage between any two of the three phases.

For a Y-connected load, the line voltage is equal to the phase voltage multiplied by the square root of three. This can be mathematically expressed as:

[ V_{line} = V_{phase} \times \sqrt{3} ]

Thus, for each phase, the phase voltage is less than the line voltage, and the line voltage is derived from the phase voltages due to the geometry of the connection in a three-phase system. This is crucial in power systems for correctly calculating voltage values and ensuring that equipment is designed to handle the appropriate voltages.

Understanding this relationship is vital for doing calculations related to power, current, and voltage in electrical engineering, particularly in systems involving three-phase power distribution.