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ElectricalBasic Electrical
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Which of the following loss varies with the load

A

hystresis loss

B

eddy current loss

C

copper loss

D

core loss

Correct Answer

тЪЩя╕П TE тАв Technical Concept & PrincipleElectricalBasic Electrical
Option C

copper loss

Quick Summary:

Copper losses, also known as I┬▓R losses, are the electrical energy losses that occur due to the resistance of the transformer windings. Unlike core losses, which remain relatively constant regardless of the load, copper losses are directly proportional to the square of the load current.

тЪЩя╕ПTETechnical SolutionConcept & Principle
ЁЯТб Explanation

Copper losses, also known as I┬▓R losses, are the electrical energy losses that occur due to the resistance of the transformer windings. Unlike core losses, which remain relatively constant regardless of the load, copper losses are directly proportional to the square of the load current.

ЁЯФв Key Formulas

Pcu=I2RP_{cu} = I┬▓ RPcuтАЛ=I2R тАФ Calculation of copper loss based on winding current and resistance

Ptotal=Pcore+I2RP_{total} = P_{core} + I┬▓ RPtotalтАЛ=PcoreтАЛ+I2R тАФ Total losses in a transformer including fixed and variable components

тЪЩя╕П Working Principle

In a transformer, the primary and secondary currents increase as the load increases. Since power loss in a conductor is given by P=I2RP = I┬▓ RP=I2R, the dissipation increases quadratically as more current flows through the windings to meet the demand, making it a variable loss.

ЁЯУМ Key Points
  • тЦ╕

    Copper losses are variable losses as they depend on the magnitude of the secondary current.

  • тЦ╕

    Core losses (Hysteresis and Eddy Current) are considered constant losses because they depend on supply voltage and frequency, which are usually steady.

  • тЦ╕

    Maximum efficiency in a transformer occurs when variable copper losses equal constant core losses.

  • тЦ╕

    Copper losses are minimized by using windings with low resistance (high cross-section area).

тЬЕ Advantages
  • тЦ╕

    Useful for calculating efficiency at different load points

  • тЦ╕

    Helps in determining the optimal operating point for maximum efficiency

тЭМ Disadvantages / Limitations
  • тЦ╕

    Contributes to heating of windings

  • тЦ╕

    Requires high-quality conductor materials to minimize

ЁЯЫая╕П Applications / Uses
  • тЦ╕

    Transformer efficiency analysis

  • тЦ╕

    Design of thermal management systems for electrical machinery

ЁЯУД Additional Information
  • тЦ╕

    Hysteresis and Eddy current losses are collectively called Core or Iron losses, which are fixed at rated voltage.

  • тЦ╕

    Option A and B are components of Core loss, which is independent of the load.

ЁЯУК Diagram / Illustration
Copper Loss FormulaP_cu = I┬▓ ├Ч RWhere: I = Load Current, R = Winding ResistanceNote: Loss increases with square of current
тЬЕ

C is correct тАФ Copper loss is a variable loss because it depends directly on the square of the load current flowing through the transformer windings.

Core Concepts Used
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Variable Losses I┬▓R Heating Transformer Efficiency Winding Resistance
ЁЯТб EXAM TIP

Always remember that efficiency is maximum when variable losses (I2RI^2RI2R) equal constant losses (Core Loss). This is a favorite topic in competitive exams for finding the load at which a transformer is most efficient.

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