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Understanding the Difference Between Line Voltage and Phase Voltage

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How Does Line Voltage Differ from Phase Voltage in Three-Phase Systems?

To explain line voltage and phase voltage:In the field of electrical engineering, line voltage and phase voltage are fundamental concepts that play a crucial role in the analysis and understanding of alternating current (AC) circuits. For Class 12 Physics students, these concepts hold particular significance as they delve into the principles of AC circuits and power transmission.While they share some similarities, there are key difference between line voltage and phase voltage.Understanding characteristics of line voltage and phase voltage is a big part of chemistry, and it's especially important for students studying for tests like NEET and JEE. In this article, we'll look at some of the most important ways in which the characteristics of line voltage and phase voltage.


Category:

JEE Main Difference Between

Content-Type:

Text, Images, Videos and PDF

Exam:

JEE Main

Topic Name:

Difference Between Line Voltage and Phase Voltage

Academic Session:

2026

Medium:

English Medium

Subject:

Mathematics

Available Material:

Chapter-wise Difference Between Topics


What is Line Voltage?

Line voltage, also known as line-to-line voltage or supply voltage, refers to the voltage between any two lines in a three-phase AC power system. It is denoted by V_line and is typically expressed as a root mean square (RMS) value. Line voltage is responsible for the transmission of power from the source to the load. In a balanced three-phase system, the line voltage is generally higher than the phase voltage.


In a three-phase system, power is distributed through three conductors, typically labeled as L1, L2, and L3. The line voltage is the voltage measured between any two of these conductors. For example, in a three-phase system where the line voltage is 415 volts, the voltage between L1 and L2, L2 and L3, or L3 and L1 would each measure 415 volts.


The line voltage is crucial for transmitting power efficiently over long distances while minimizing power losses. It enables the transfer of power from the power source to the load, which can be industrial machinery, motors, or high-power equipment. The higher voltage level of line voltage allows for the transmission of large amounts of power, making it suitable for heavy loads.


What is Phase Voltage?

Phase voltage, also known as line-to-neutral voltage or load voltage, represents the voltage between any line and the neutral point in a three-phase AC power system. It is denoted by V_phase and is also expressed as an RMS value. Phase voltage is the voltage supplied to individual loads connected to the power system. In a balanced three-phase system, the phase voltage is lower than the line voltage.


The phase voltage is measured between any of the conductors (L1, L2, or L3) and the neutral point. The neutral point serves as a connection between the power source and the loads and is typically grounded. For example, in a balanced three-phase system with a phase voltage of 240 volts, the voltage between L1 and the neutral point, L2 and the neutral point, or L3 and the neutral point would each measure 240 volts.


Phase voltage is used for supplying power to individual loads such as lighting, appliances, and smaller motors. It is typically at a lower magnitude compared to line voltage, making it suitable for residential, commercial, and smaller industrial applications. Phase voltage allows for the efficient operation of various electrical devices and appliances by providing the appropriate voltage level required by each load.


Differentiate Between Line Voltage and Phase Voltage

S.No

Category

Uniform Circular Motion

Non Uniform Circular Motion

1

Definition

The voltage between any two lines in a 3-phase system. It represents the voltage used for power transmission.

The voltage between any line and the neutral point in a 3-phase system. It represents the voltage supplied to individual loads.

2

Symbol

V_line

V_phase

3

Magnitude

Generally higher than phase voltage

Generally lower than line voltage

4

Application

Used for power transmission and heavy loads in industrial settings.

Used for supplying power to residential, commercial, and smaller industrial loads.

5

Calculation

VL = √3 * VP

VP = VL / √3

6

Voltage Relationship

Line voltage is √3 times the phase voltage.

Phase voltage is the line voltage divided by √3.


Summary

Line voltage and phase voltage are fundamental concepts in the study of AC circuits, particularly for Class 12 Physics students. Line voltage refers to the voltage between any two lines in a three-phase system, while phase voltage represents the voltage between any line and the neutral point. Line voltage is responsible for power transmission, whereas phase voltage supplies power to individual loads. Line voltage is typically higher than phase voltage and is used for heavy loads in industrial applications. In contrast, phase voltage is lower and is suitable for residential, commercial, and smaller industrial applications. Understanding the distinctions between line voltage and phase voltage enables students to analyze and design AC circuits, considering the specific requirements of different loads and power transmission systems.

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FAQs on Understanding the Difference Between Line Voltage and Phase Voltage

1. What is the difference between line voltage and phase voltage?

Line voltage is the voltage measured between any two lines in a three-phase system, whereas phase voltage is the voltage measured across a single phase (between any line and neutral).

Main differences:

  • Line voltage is higher than phase voltage in star (Y) connection: Vline = √3 × Vphase
  • In delta (Δ) connection, Vline = Vphase
  • Line voltage is used for transmission; phase voltage is relevant for single-phase loads.

2. Why is line voltage greater than phase voltage in a star connection?

Line voltage is greater than phase voltage in a star (Y) connection due to the vector sum of voltages between two phases.

Key points:

  • In star connection: Vline = √3 × Vphase
  • This factor arises because the line voltage is the resultant of two phase voltages separated by 120°.
  • This relationship ensures correct voltage supply to three-phase loads.

3. How do you calculate line voltage from phase voltage in a three-phase star connection?

To calculate line voltage (Vline) from phase voltage (Vphase) in a star system:

  • Use the formula: Vline = √3 × Vphase
  • If phase voltage is known, multiply by 1.732 (√3) to find line voltage.
  • Example: If Vphase = 230 V, then Vline = 230 × 1.732 ≈ 400 V.

4. What is phase voltage in a delta connection?

In a delta connection, the phase voltage is equal to the line voltage.

  • Vphase = Vline
  • Every winding is connected directly between two lines, so the voltage across each phase is the same as between the lines.

5. What are the main types of voltage in a three-phase system?

A three-phase system uses two main voltage types:

  • Line Voltage: Voltage between any two phase wires
  • Phase Voltage: Voltage between any phase wire and neutral
Line and phase voltages are key for understanding power distribution in electrical circuits.

6. How does the relationship between line voltage and phase voltage affect appliances?

The relationship between line voltage and phase voltage determines the operating voltage of appliances connected to three-phase systems.

  • Single-phase devices are connected between phase and neutral and use phase voltage.
  • Three-phase devices (like motors) are connected across lines and use line voltage.
  • Correct connection is essential to prevent overvoltage or undervoltage issues.

7. Why is understanding the difference between line and phase voltage important in electrical engineering?

Distinguishing line voltage from phase voltage is crucial for electrical system design, safety, and load calculations.

  • Ensures proper connection of equipment
  • Prevents electrical faults or damage
  • Accurate power and current calculations for different wiring methods

8. Can you explain the formula connecting line voltage, phase voltage, and the type of connection?

The formula linking line and phase voltage depends on the connection:

  • Star (Y) connection: Vline = √3 × Vphase
  • Delta (Δ) connection: Vline = Vphase
Understanding this helps in identifying the right connection method for loads and transmission systems.

9. What happens if you connect a star-connected load to delta voltage?

Connecting a star-connected load to delta voltage (i.e., using line voltage as phase voltage) can damage the equipment.

  • The load receives a voltage √3 times higher than its rating.
  • This may cause overheating and failure of insulation or windings.
  • Always match the connection type and voltage rating to avoid damage.

10. What are practical examples of line voltage and phase voltage values in India?

In India, typical three-phase supply values are:

  • Line voltage: 400 V
  • Phase voltage: 230 V
This follows the relation: Vline = √3 × Vphase.

11. Is phase voltage always lower than line voltage?

In a star connection, phase voltage is always lower than line voltage. In a delta connection, they are equal.

  • Star: Vline = √3 × Vphase
  • Delta: Vline = Vphase
  • Always check the wiring method before measuring voltages.