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ElectricalBasic Electrical
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The transformer ratings are usually expressed in terms of

A

Volts

B

Amperes

C

kW

D

kVA

Correct Answer

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

kVA

Quick Summary:

Transformer ratings are expressed in kVA (kilo-Volt-Ampere) because the total power handled by the transformer depends on both voltage and current, independent of the power factor of the connected load. Since the transformer losses (copper losses and iron losses) are dependent on voltage and current (and not phase angle), the kVA rating provides a universal limit for the device.

тЪЩя╕ПTETechnical SolutionConcept & Principle
ЁЯТб Explanation

Transformer ratings are expressed in kVA (kilo-Volt-Ampere) because the total power handled by the transformer depends on both voltage and current, independent of the power factor of the connected load. Since the transformer losses (copper losses and iron losses) are dependent on voltage and current (and not phase angle), the kVA rating provides a universal limit for the device.

ЁЯФв Key Formulas

S=Vrms├ЧIrmsS = V_{rms} \times I_{rms}S=VrmsтАЛ├ЧIrmsтАЛ тАФ The apparent power (kVA) representing the vector sum of active and reactive power.

P=S├ЧcosтБб╧ХP = S \times \cos\phiP=S├Чcos╧Х тАФ The relationship between Apparent Power (S) and Active Power (P).

тЪЩя╕П Working Principle

The internal power losses of a transformer consist of iron losses (dependent on voltage and frequency) and copper losses (dependent on current). Because the manufacturer cannot know the power factor of the load the transformer will eventually serve, they define the capacity based on the product of rated voltage and rated current, i.e., S=V├ЧIS = V \times IS=V├ЧI. This ensures that regardless of whether the load is resistive, capacitive, or inductive, the device stays within its thermal design limits.

ЁЯУМ Key Points
  • тЦ╕

    Transformer iron losses are a function of voltage.

  • тЦ╕

    Transformer copper losses are a function of current (I2RI^2RI2R).

  • тЦ╕

    Total losses depend on both VVV and III, hence the rating is in kVA.

  • тЦ╕

    The power factor (cos╧Хcos\phicos╧Х) is determined by the load, not the transformer itself.

тЬЕ Advantages
  • тЦ╕

    Uniform rating for all load types

  • тЦ╕

    Safeguards against overheating due to overcurrent

тЭМ Disadvantages / Limitations
  • тЦ╕

    Does not explicitly specify the active power (kW) capacity without knowing the power factor

ЁЯЫая╕П Applications / Uses
  • тЦ╕

    Power distribution systems

  • тЦ╕

    Impedance matching in signal circuits

ЁЯУД Additional Information
  • тЦ╕

    kW (Kilowatts) represents active power, which changes based on the load's power factor.

  • тЦ╕

    If a transformer were rated in kW, it would be incorrect for varying loads as the current would exceed safety limits at low power factors.

ЁЯУК Diagram / Illustration
Apparent Power RatingTotal kVA Capacity = V ├Ч I(kilo-Volt-Ampere)Independent of Power Factor (cos ╧Ж)
тЬЕ

D is correct тАФ Transformer ratings are expressed in kVA because their thermal limits are determined by the product of voltage and current, irrespective of the load power factor.

Core Concepts Used
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Apparent Power Thermal Limits Copper and Iron Losses
ЁЯТб EXAM TIP

Always remember: If you are asked why machines (transformers/alternators) use kVA but motors use kW/HP, remember that motors drive mechanical loads (fixed work requirement), whereas transformers are static devices whose primary constraints are thermal (V and I).

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