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Chapter 1 of 12 • Page 1 of 248🔒 Protected PDF • Watermarked
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ElectricalMachine
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In the design of single-phase induction motor · The value of the stator induced voltage = __________ the supply voltage.

A

0.75

B

0.80

C

0.85

D

0.95

Correct Answer

⚙️ TE • Technical Concept & PrincipleElectricalMachine
Option D

0.95

Quick Summary:

In the design of a single-phase induction motor, the stator induced electromotive force (EMF) is approximately 0.95 times the supply voltage · This difference accounts for the voltage drop across the stator winding resistance (RsR_sRs​) and leakage reactance (XsX_sXs​).

⚙️TETechnical SolutionConcept & Principle
💡 Explanation

In the design of a single-phase induction motor, the stator induced electromotive force (EMF) is approximately 0.95 times the supply voltage · This difference accounts for the voltage drop across the stator winding resistance (RsR_sRs​) and leakage reactance (XsX_sXs​).

🔢 Key Formulas

V⃗=Es⃗+Is⃗(Rs+jXs)\vec{V} = \vec{E_s} + \vec{I_s}(R_s + jX_s)V=Es​​+Is​​(Rs​+jXs​) — Phasor equation for the stator winding

Es=4.44fNϕmE_s = 4.44 f N \phi_mEs​=4.44fNϕm​ — EMF equation of the stator winding

⚙️ Working Principle

The applied supply voltage VVV is balanced by the back EMF EsE_sEs​ and the voltage drop due to stator impedance ZsZ_sZs​. The relationship is given by the Kirchhoff's Voltage Law: V⃗=Es⃗+Is⃗⋅Zs⃗\vec{V} = \vec{E_s} + \vec{I_s} \cdot \vec{Z_s}V=Es​​+Is​​⋅Zs​​. Since the winding resistance and leakage reactance are kept minimal to maintain high efficiency, the induced back EMF remains very close to the supply voltage magnitude.

📌 Key Points
  • ▸

    The induced EMF (EsE_sEs​) is slightly less than the applied voltage due to stator winding impedance.

  • ▸

    Higher efficiency is achieved by minimizing the Is2RsI_s^2 R_sIs2​Rs​ losses, keeping EsE_sEs​ close to VVV.

  • ▸

    In small motors, the voltage drop is often 5% of the rated voltage.

✅ Advantages
  • ▸

    Ensures high electromagnetic torque production

  • ▸

    Minimizes copper losses within the stator structure

❌ Disadvantages / Limitations
  • ▸

    Higher induced voltage leads to higher insulation stress requirements

  • ▸

    Requires precise winding geometry to maintain this ratio

🛠️ Applications / Uses
  • ▸

    Fractional horsepower motors

  • ▸

    Household appliances like fans and washing machines

📄 Additional Information
  • ▸

    The 0.95 factor is a design standard to ensure the motor operates near its rated magnetic flux levels.

  • ▸

    Options 0.75, 0.80, and 0.85 represent poorly designed machines with excessive voltage drops.

📊 Diagram / Illustration
Induced Voltage RatioStator Induced Voltage (Eₛ)Supply Voltage (V)Ratio ≈ 0.95
✅

D is correct — The stator induced voltage is kept at approximately 0.95 of the supply voltage to account for stator winding impedance drops while maintaining optimal flux density.

Core Concepts Used
Click any tag to open in AI Tutor
Back EMF in Induction Motors Stator Impedance Drop Magnetic Flux Density
💡 EXAM TIP

Always remember that in electrical machines, the relationship between EMF and terminal voltage determines the efficiency and internal power factor of the machine.

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