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The induced emf in the armature of a 4-pole dc machine is
- a)directly proportional to speed and field strength applied to it
- b)directly proportional to speed
- c)directly proportional to field strength applied to it
- d)inversely proportional to speed and inversely proportional to field strength applied to it
Correct answer is option 'A'. Can you explain this answer?
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The induced emf in the armature of a 4-pole dc machine isa)directly pr...
Emf is proportional to speed of rotation and flux.
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The induced emf in the armature of a 4-pole dc machine isa)directly pr...
Answer:
The induced electromotive force (emf) in the armature of a 4-pole DC machine is directly proportional to the speed and field strength applied to it. This can be explained by Faraday's law of electromagnetic induction.
Faraday's Law:
Faraday's law states that the induced emf in a conductor is directly proportional to the rate of change of magnetic flux passing through the conductor.
Relationship with Speed:
The speed of the armature determines the rate at which the magnetic flux passing through the armature changes. As the armature rotates, the magnetic field lines from the field poles cut across the armature conductors, causing a change in the magnetic flux. The faster the armature rotates, the higher the rate of change of magnetic flux, and thus the higher the induced emf.
Therefore, the induced emf in the armature is directly proportional to the speed of the machine.
Relationship with Field Strength:
The field strength applied to the armature determines the strength of the magnetic field produced by the field poles. A stronger magnetic field will result in a higher rate of change of magnetic flux as the armature rotates. This is because a stronger field will cause a larger number of magnetic field lines to cut across the armature conductors.
Therefore, the induced emf in the armature is directly proportional to the field strength applied to it.
Combined Relationship:
Since the induced emf is directly proportional to both the speed and field strength, the overall relationship can be expressed as:
Induced emf ∝ Speed × Field Strength
In a 4-pole DC machine, the speed is directly proportional to the rotational speed of the armature. And the field strength is determined by the current flowing through the field windings. Thus, the induced emf in the armature is directly proportional to the speed and field strength applied to it.
Therefore, the correct answer is option 'A': The induced emf in the armature of a 4-pole DC machine is directly proportional to the speed and field strength applied to it.
The induced electromotive force (emf) in the armature of a 4-pole DC machine is directly proportional to the speed and field strength applied to it. This can be explained by Faraday's law of electromagnetic induction.
Faraday's Law:
Faraday's law states that the induced emf in a conductor is directly proportional to the rate of change of magnetic flux passing through the conductor.
Relationship with Speed:
The speed of the armature determines the rate at which the magnetic flux passing through the armature changes. As the armature rotates, the magnetic field lines from the field poles cut across the armature conductors, causing a change in the magnetic flux. The faster the armature rotates, the higher the rate of change of magnetic flux, and thus the higher the induced emf.
Therefore, the induced emf in the armature is directly proportional to the speed of the machine.
Relationship with Field Strength:
The field strength applied to the armature determines the strength of the magnetic field produced by the field poles. A stronger magnetic field will result in a higher rate of change of magnetic flux as the armature rotates. This is because a stronger field will cause a larger number of magnetic field lines to cut across the armature conductors.
Therefore, the induced emf in the armature is directly proportional to the field strength applied to it.
Combined Relationship:
Since the induced emf is directly proportional to both the speed and field strength, the overall relationship can be expressed as:
Induced emf ∝ Speed × Field Strength
In a 4-pole DC machine, the speed is directly proportional to the rotational speed of the armature. And the field strength is determined by the current flowing through the field windings. Thus, the induced emf in the armature is directly proportional to the speed and field strength applied to it.
Therefore, the correct answer is option 'A': The induced emf in the armature of a 4-pole DC machine is directly proportional to the speed and field strength applied to it.
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The induced emf in the armature of a 4-pole dc machine isa)directly proportional to speed and field strength applied to itb)directly proportional to speedc)directly proportional to field strength applied to itd)inversely proportional to speed and inversely proportional to field strength applied to itCorrect answer is option 'A'. Can you explain this answer?
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