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If the current through the wire increases, the magnitude of the magnetic field produced at a given point:
- a)Increases
- b)Decreases
- c)Firstly increases and then decreases
- d)Can’t comment anything
Correct answer is option 'A'. Can you explain this answer?
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If the current through the wire increases, the magnitude of the magne...
The current flowing through a conductor is directly proportional to magnetic field. As the electric current through the wire increases, the magnitude of the magnetic field produced at a given point increases.
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If the current through the wire increases, the magnitude of the magne...
Answer:
When the current through a wire increases, the magnitude of the magnetic field produced at a given point increases. This can be explained using the right-hand rule and the Biot-Savart law.
Right-hand rule:
According to the right-hand rule, if you point your thumb in the direction of the current flow, then the direction of the curled fingers gives the direction of the magnetic field lines around the wire.
Biot-Savart law:
The Biot-Savart law states that the magnetic field produced by a current-carrying wire at a given point is directly proportional to the current through the wire and inversely proportional to the distance from the wire.
Explanation:
When the current through the wire increases, the number of moving charges (electrons) increases, resulting in a stronger magnetic field. Thus, the magnetic field lines around the wire become more concentrated, leading to an increase in the magnitude of the magnetic field at a given point.
This can be further understood by considering the formula for the magnetic field produced by a straight wire:
B = (μ₀ * I) / (2π * r)
Where:
B is the magnetic field at a given point,
μ₀ is the permeability of free space,
I is the current through the wire, and
r is the distance from the wire.
From the formula, it is evident that an increase in the current (I) results in an increase in the magnetic field (B), assuming other factors remain constant. Therefore, when the current through the wire increases, the magnitude of the magnetic field produced at a given point also increases.
Hence, the correct answer is option 'A' - the magnitude of the magnetic field produced at a given point increases.
When the current through a wire increases, the magnitude of the magnetic field produced at a given point increases. This can be explained using the right-hand rule and the Biot-Savart law.
Right-hand rule:
According to the right-hand rule, if you point your thumb in the direction of the current flow, then the direction of the curled fingers gives the direction of the magnetic field lines around the wire.
Biot-Savart law:
The Biot-Savart law states that the magnetic field produced by a current-carrying wire at a given point is directly proportional to the current through the wire and inversely proportional to the distance from the wire.
Explanation:
When the current through the wire increases, the number of moving charges (electrons) increases, resulting in a stronger magnetic field. Thus, the magnetic field lines around the wire become more concentrated, leading to an increase in the magnitude of the magnetic field at a given point.
This can be further understood by considering the formula for the magnetic field produced by a straight wire:
B = (μ₀ * I) / (2π * r)
Where:
B is the magnetic field at a given point,
μ₀ is the permeability of free space,
I is the current through the wire, and
r is the distance from the wire.
From the formula, it is evident that an increase in the current (I) results in an increase in the magnetic field (B), assuming other factors remain constant. Therefore, when the current through the wire increases, the magnitude of the magnetic field produced at a given point also increases.
Hence, the correct answer is option 'A' - the magnitude of the magnetic field produced at a given point increases.
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If the current through the wire increases, the magnitude of the magnetic field produced at a given point:a) Increasesb) Decreasesc) Firstly increases and then decreasesd) Can’t comment anythingCorrect answer is option 'A'. Can you explain this answer?
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