For any polyphase system, Line voltage is defined as the voltage between two given phase. Whereas the phase voltage is the voltage between the given phase and neutral. The relation between line voltage and phase voltage are proportionate.
Line Voltage and Phase Voltage
For a three phase or start connection, the Line voltage and Phase voltage relation can be mathematically written as-
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\(\begin{array}{l}V_{l}=\sqrt{3} V_{ph}\end{array} \)
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Where,
- Vl is the Line voltage.
- Vph is the Phase voltage.
- Measure using the unit of voltage Volt (V).
Line voltage and Phase voltage Relation
Line voltage and Phase voltage are directly proportional to each other. That means-
- When the line voltage increases, the phase voltage will also increase.
- When phase voltage increases, it will be reflected in the increase in line voltage.
Read More: Unit of Voltage
Line voltage and Phase Voltage in a Star connection
Three phase voltage or star connection generally consists of voltage flowing through three different channels, for our simplicity we name it Voltage in the red line (VR), Voltage in Yellow line(VY), the voltage in blue line(VB). The voltage in all three channels is equal. Mathematically given as-
Here, line current = Phase current
If we extend VY backward we get -VY and draw a resultant voltage of VR and VY we get-
Because
Thus, we arrive at the relation between line voltage and phase voltage in star connection in an electric circuit –
Hope you understood the relation between line voltage and phase voltage in a polyphase system or connection.
Physics Related Topics:
Frequently Asked Questions – FAQs
What is line voltage?
What is phase voltage?
Phase voltage is the voltage between the given phase and neutral.
When the line voltage increases, what happens to the phase voltage.
When the line voltage increases, the phase voltage will also increase.
Give the relationship between the line voltage and phase voltage for a three phase or start connection?
State true or false: When phase voltage increases, it will be reflected in the increase in line voltage.
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