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    The shape of induced electro-motive force in the armature conductors of a DC motor is:
    Question

    The shape of induced electro-motive force in the armature conductors of a DC motor is:

    A.

    triangular

    B.

    linear

    C.

    constant

    D.

    sinusoidal

    Correct option is D


     The emf induced in the armature is AC as its direction changes.
     By using the split-ring type commutator, the current flow is made unidirectional, and a DC supply is obtained.
     When the current-carrying conductor placed in a magnetic field, the torque induces on the conductor, the torque rotates the conductor which cuts the flux of the magnetic field.
     According to the Electromagnetic Induction Phenomenon "when the conductor cuts the magnetic field, EMF induces in the conductor".
     According to Fleming Right Hand Rule:
     if we hold our thumb, middle finger and index finger of the right hand by an angle of 90∘, then the index finger represents the direction of the magnetic field.
     The thumb shows the direction of motion of the conductor and the middle finger represents the emf induces on the conductor.
     On applying the right-hand rule in the figure shown below, it is seen that the direction of the induced emf is opposite to the applied voltage.
     Thereby the emf is known as the counter emf or back emf.
     The back emf is developed in series with the applied voltage, but opposite in direction, i.e., the back emf opposes the current which causes it.
    Formula:

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