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ElectricalBasic Electrical
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When the armature of a DC motor rotates, emf induced is

A

self-induced emf

B

mutually induced emf

C

back emf

D

none of the above

Correct Answer

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

back emf

Quick Summary:

When a DC motor armature rotates within a magnetic field, the conductors cut the magnetic flux, inducing an EMF according to Faraday's Law of Electromagnetic Induction. This induced EMF acts in opposition to the applied supply voltage, hence it is termed 'Back EMF' (Eb).

тЪЩя╕ПTETechnical SolutionConcept & Principle
ЁЯТб Explanation

When a DC motor armature rotates within a magnetic field, the conductors cut the magnetic flux, inducing an EMF according to Faraday's Law of Electromagnetic Induction. This induced EMF acts in opposition to the applied supply voltage, hence it is termed 'Back EMF' (Eb).

ЁЯФв Key Formulas

Eb=P╬жZN60AE_b = \frac{P \Phi Z N}{60 A}EbтАЛ=60AP╬жZNтАЛ тАФ Induced Back EMF in terms of machine constants

V=Eb+IaRaV = E_b + I_a R_aV=EbтАЛ+IaтАЛRaтАЛ тАФ Voltage balance equation for DC motor armature

тЪЩя╕П Working Principle

As the motor rotates, the induced EMF (EbE_bEbтАЛ) opposes the terminal voltage (VVV) applied to the armature. This relationship is defined by the Kirchhoff's Voltage Law equation V=Eb+IaRaV = E_b + I_aR_aV=EbтАЛ+IaтАЛRaтАЛ, where IaI_aIaтАЛ is the armature current and RaR_aRaтАЛ is the armature resistance. The back EMF acts as a self-regulating mechanism, controlling the amount of current drawn by the motor based on its load and speed.

ЁЯУМ Key Points
  • тЦ╕

    The back EMF is always less than the applied terminal voltage (V>EbV > E_bV>EbтАЛ).

  • тЦ╕

    At starting, the speed N=0N = 0N=0, therefore Eb=0E_b = 0EbтАЛ=0, leading to high starting current.

  • тЦ╕

    Lenz's Law explains the 'opposing' nature of the Back EMF.

  • тЦ╕

    Back EMF provides the inherent self-regulating property of a DC motor.

тЬЕ Advantages
  • тЦ╕

    Automatic control of armature current based on load

  • тЦ╕

    Essential for stable operation of DC machines

тЭМ Disadvantages / Limitations
  • тЦ╕

    Requires high starting current due to zero back EMF at start

  • тЦ╕

    Potential for commutator sparking if the machine is overloaded

ЁЯЫая╕П Applications / Uses
  • тЦ╕

    DC series motors for traction

  • тЦ╕

    DC shunt motors for industrial drives

ЁЯУД Additional Information
  • тЦ╕

    The magnitude of back EMF is proportional to speed (EbтИЭNE_b \propto NEbтАЛтИЭN).

  • тЦ╕

    Option A (self-induced emf) refers to inductance effects in a coil, whereas option B refers to transformer action.

ЁЯУК Diagram / Illustration
Back EMF EquationE_b = V - IтВР RтВРV: Applied VoltageIтВР RтВР: Armature Drop
тЬЕ

C is correct тАФ The emf induced in the armature of a DC motor is called back emf because it opposes the applied supply voltage.

Core Concepts Used
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Faraday's Law of Induction Lenz's Law DC Motor Electromechanics
ЁЯТб EXAM TIP

Remember that in a DC Generator, the induced EMF is the output voltage (generated EMF), while in a DC Motor, it is the Back EMF (opposing voltage).

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