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ElectricalBasic Electrical
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Efficiency of a power transformer is of the order of

A

100%

B

98%

C

50%

D

25%

Correct Answer

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

98%

Quick Summary:

Power transformers are highly efficient electrical devices, typically operating at efficiencies between 97% and 99.5%. This high efficiency is achieved because transformers are static devices (no moving parts) and are designed to minimize both core (iron) and winding (copper) losses.

тЪЩя╕ПTETechnical SolutionConcept & Principle
ЁЯТб Explanation

Power transformers are highly efficient electrical devices, typically operating at efficiencies between 97% and 99.5%. This high efficiency is achieved because transformers are static devices (no moving parts) and are designed to minimize both core (iron) and winding (copper) losses.

ЁЯФв Key Formulas

╬╖=PoutPout+Piron+Pcopper├Ч100\eta = \frac{P_{out}}{P_{out} + P_{iron} + P_{copper}} \times 100╬╖=PoutтАЛ+PironтАЛ+PcopperтАЛPoutтАЛтАЛ├Ч100

Ploss=Piron+PcopperтЙИI2R+Ph+PeP_{loss} = P_{iron} + P_{copper} \approx I^2R + P_{h} + P_{e}PlossтАЛ=PironтАЛ+PcopperтАЛтЙИI2R+PhтАЛ+PeтАЛ

тЪЩя╕П Working Principle

The efficiency is defined by the ratio of output power to input power. Since transformers do not have friction or windage losses found in rotating machinery, the primary losses are limited to Hysteresis and Eddy Current losses in the core, and I2RI^2RI2R (ohmic) losses in the windings. Designers use high-permeability magnetic materials and optimal conductor sizing to keep these losses at a minimum under rated load conditions.

ЁЯУМ Key Points
  • тЦ╕

    Transformers are static devices, which eliminates mechanical losses.

  • тЦ╕

    Efficiency is highest when variable copper losses equal constant iron losses.

  • тЦ╕

    Power transformers are designed for near-full load operation.

  • тЦ╕

    Losses are minimized using silicon steel laminations and high-conductivity copper windings.

тЬЕ Advantages
  • тЦ╕

    Extremely low energy wastage during voltage conversion.

  • тЦ╕

    Negligible mechanical wear and tear.

  • тЦ╕

    High reliability for long-term power grid operation.

тЭМ Disadvantages / Limitations
  • тЦ╕

    Efficiency drops significantly at very light loads.

  • тЦ╕

    Requires cooling systems for high-capacity transformers to dissipate residual heat.

ЁЯЫая╕П Applications / Uses
  • тЦ╕

    Transmission and distribution networks.

  • тЦ╕

    Industrial power supply systems.

  • тЦ╕

    Substations.

ЁЯУД Additional Information
  • тЦ╕

    In large utility transformers, the efficiency can even exceed 99%.

  • тЦ╕

    100% efficiency is physically impossible due to the Second Law of Thermodynamics (heat dissipation).

  • тЦ╕

    Options like 50% or 25% are representative of extremely poorly designed systems, not functional power transformers.

ЁЯУК Diagram / Illustration
Efficiency (╬╖)Output Power (PтВТс╡дтВЬ)Output Power (PтВТс╡дтВЬ) + Total Losses
тЬЕ

B is correct тАФ Power transformers exhibit very high efficiency, typically in the range of 98%, because they lack moving parts and are engineered to minimize electromagnetic losses.

Core Concepts Used
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Transformer Efficiency Core Losses Ohmic Losses Load Optimization
ЁЯТб EXAM TIP

Always remember that transformer efficiency is maximum when the variable copper loss equals the constant iron loss (I2R=PironI^2R = P_{iron}I2R=PironтАЛ).

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