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The north pole of a long horizontal bar magnet is being brought closer to a vertical conducting plane, along the perpendicular direction. The induced current in the conducting plane is
- a)Clockwise
- b)Anticlockwise
- c)Horizonatal
- d)Vertical
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
The north pole of a long horizontal bar magnet is being brought closer...
The induced emf will oppose the motion of the magnet. Applying the right-hand rule, the direction of induced current will be clockwise.
Above image shows the direction of the magnetic force acting on a charged particle. The force on a positively charged particle with velocity v and making an angle θ with the magnetic field B is given by the right-hand rule.
Most Upvoted Answer
The north pole of a long horizontal bar magnet is being brought closer...
Introduction:
When the north pole of a long horizontal bar magnet is brought closer to a vertical conducting plane along the perpendicular direction, an induced current is generated in the conducting plane. This phenomenon is known as electromagnetic induction and is governed by Faraday's law of electromagnetic induction.
Explanation:
The induced current in the conducting plane can be determined using Lenz's law, which states that the direction of the induced current is such that it opposes the change in magnetic field that produced it.
Faraday's law of electromagnetic induction:
Faraday's law states that the magnitude of the induced electromotive force (emf) or voltage is directly proportional to the rate of change of magnetic flux through a conducting loop. Mathematically, it can be expressed as:
emf = -N(dΦ/dt)
Where:
- emf is the induced electromotive force
- N is the number of turns in the conducting loop
- dΦ/dt is the rate of change of magnetic flux through the loop
Application to the given scenario:
In this scenario, as the north pole of the bar magnet is brought closer to the conducting plane, the magnetic field through the conducting loop formed by the plane changes. The change in magnetic field induces an electromotive force, which in turn generates an induced current in the conducting plane.
Determining the direction of the induced current:
According to Lenz's law, the induced current will flow in a direction that opposes the change in magnetic field.
Direction of the magnetic field:
The north pole of the bar magnet induces a south pole in the conducting plane, which creates a magnetic field that opposes the north pole of the bar magnet.
Opposing the change in magnetic field:
To oppose the change in magnetic field, the induced current in the conducting plane must create a magnetic field that has the same polarity as the north pole of the bar magnet.
Resultant direction of the induced current:
As a result, the induced current in the conducting plane will flow in a counterclockwise direction when observed from above. This is known as an anticlockwise direction.
Therefore, the correct answer is option 'B' - Anticlockwise.
When the north pole of a long horizontal bar magnet is brought closer to a vertical conducting plane along the perpendicular direction, an induced current is generated in the conducting plane. This phenomenon is known as electromagnetic induction and is governed by Faraday's law of electromagnetic induction.
Explanation:
The induced current in the conducting plane can be determined using Lenz's law, which states that the direction of the induced current is such that it opposes the change in magnetic field that produced it.
Faraday's law of electromagnetic induction:
Faraday's law states that the magnitude of the induced electromotive force (emf) or voltage is directly proportional to the rate of change of magnetic flux through a conducting loop. Mathematically, it can be expressed as:
emf = -N(dΦ/dt)
Where:
- emf is the induced electromotive force
- N is the number of turns in the conducting loop
- dΦ/dt is the rate of change of magnetic flux through the loop
Application to the given scenario:
In this scenario, as the north pole of the bar magnet is brought closer to the conducting plane, the magnetic field through the conducting loop formed by the plane changes. The change in magnetic field induces an electromotive force, which in turn generates an induced current in the conducting plane.
Determining the direction of the induced current:
According to Lenz's law, the induced current will flow in a direction that opposes the change in magnetic field.
Direction of the magnetic field:
The north pole of the bar magnet induces a south pole in the conducting plane, which creates a magnetic field that opposes the north pole of the bar magnet.
Opposing the change in magnetic field:
To oppose the change in magnetic field, the induced current in the conducting plane must create a magnetic field that has the same polarity as the north pole of the bar magnet.
Resultant direction of the induced current:
As a result, the induced current in the conducting plane will flow in a counterclockwise direction when observed from above. This is known as an anticlockwise direction.
Therefore, the correct answer is option 'B' - Anticlockwise.
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The north pole of a long horizontal bar magnet is being brought closer to a vertical conducting plane, along the perpendicular direction. The induced current in the conducting plane isa)Clockwiseb)Anticlockwisec)Horizonatald)VerticalCorrect answer is option 'B'. Can you explain this answer?
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