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ElectricalBasic Electrical
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Torque developed by a DC motor depends upon

A

magnetic field

B

length of the conductors

C

number of conductors

D

all of above

Correct Answer

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

length of the conductors

Quick Summary:

The electromagnetic torque developed in a DC motor is directly proportional to the magnetic flux per pole, the number of armature conductors, and the armature current. Since these factors collectively define the motor's internal torque equation, the torque depends on all of the listed parameters.

тЪЩя╕ПTETechnical SolutionConcept & Principle
ЁЯТб Explanation

The electromagnetic torque developed in a DC motor is directly proportional to the magnetic flux per pole, the number of armature conductors, and the armature current. Since these factors collectively define the motor's internal torque equation, the torque depends on all of the listed parameters.

ЁЯФв Key Formulas

Ta=P╬жZIa2╧АAT_a = \frac{P \Phi Z I_a}{2 \pi A}TaтАЛ=2╧АAP╬жZIaтАЛтАЛ тАФ Fundamental electromagnetic torque equation for a DC motor

F=BILF = B I LF=BIL тАФ Force on a single conductor in a magnetic field

тЪЩя╕П Working Principle

According to the Lorentz force law, a current-carrying conductor placed in a magnetic field experiences a force F=BIlF = BIlF=BIl. When these conductors are placed on a rotating armature, the summation of these forces at a distance from the axis of rotation produces the developed electromagnetic torque. The total torque is defined by the motor torque equation Ta=P╬жZIa2╧АAT_a = \frac{P \Phi Z I_a}{2 \pi A}TaтАЛ=2╧АAP╬жZIaтАЛтАЛ.

ЁЯУМ Key Points
  • тЦ╕

    Magnetic field flux (╬ж\Phi╬ж) is provided by the field poles.

  • тЦ╕

    The number of armature conductors (ZZZ) is a constructional parameter.

  • тЦ╕

    The physical length of the conductors (LLL) within the magnetic field determines the force magnitude.

  • тЦ╕

    Torque is also directly proportional to armature current (IaI_aIaтАЛ).

тЬЕ Advantages
  • тЦ╕

    Predictable relationship between flux and torque

  • тЦ╕

    High starting torque capability

тЭМ Disadvantages / Limitations
  • тЦ╕

    Saturation of magnetic material limits flux

  • тЦ╕

    Commutation limits at high armature currents

ЁЯЫая╕П Applications / Uses
  • тЦ╕

    Electric traction systems

  • тЦ╕

    Industrial drives requiring variable speed

ЁЯУД Additional Information
  • тЦ╕

    The constant Ka=PZ2╧АAK_a = \frac{P Z}{2 \pi A}KaтАЛ=2╧АAPZтАЛ aggregates constructional features.

  • тЦ╕

    Option B is correct because the length of the conductor interacting with the magnetic flux determines the force per turn.

ЁЯУК Diagram / Illustration
DC Motor Torque Equation
Ta=P╬жZIa2╧АAT_a = (P \Phi Z I_a / 2 \pi A)TaтАЛ=2╧АAP╬жZIaтАЛтАЛ
P: Poles, ╬ж: Flux/Pole, Z: ConductorsIтВР: Armature Current, A: Parallel Paths
тЬЕ

D is correct тАФ The torque developed in a DC motor follows the equation Ta=P╬жZIa2╧АAT_a = \frac{P \Phi Z I_a}{2 \pi A}TaтАЛ=2╧АAP╬жZIaтАЛтАЛ, which integrates magnetic flux, number of conductors, and length of conductors.

Core Concepts Used
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Lorentz Force DC Machine Construction Electromagnetic Induction
ЁЯТб EXAM TIP

Always remember that armature current is the 'load-responsive' variable, while flux and constructional features (Z, A, P) are 'machine-design' variables in torque calculations.

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