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The strength of the magnetic field around a long straight wire carrying current is
- a)the same everywhere around the wire at any distance
- b)inversely proportional to the distance from the wire
- c)inversely proportional to the square of the distance from the wire
- d)directly proportional to the square of the distance from the wire
Correct answer is option 'B'. Can you explain this answer?
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The strength of the magnetic field around a long straight wire carryi...
Explanation:
The strength of the magnetic field around a long straight wire carrying current is inversely proportional to the distance from the wire.
Reasoning:
The magnetic field around a long straight wire carrying current is a circular pattern. The magnetic field lines are perpendicular to the wire and form concentric circles around it.
- The magnetic field is strongest closest to the wire because the field lines are concentrated in a smaller area.
- As you move away from the wire, the magnetic field lines spread out over a larger area, making the magnetic field weaker.
- The strength of the magnetic field is inversely proportional to the distance from the wire. This means that if you double the distance from the wire, the strength of the magnetic field will be reduced to one-fourth its original strength.
Formula:
The formula for the magnetic field around a long straight wire carrying current is:
B = (μ0 * I)/(2πr)
- B is the magnetic field (in teslas)
- μ0 is the permeability of free space (4π x 10^-7 T m/A)
- I is the current in the wire (in amperes)
- r is the distance from the wire (in meters)
This formula shows that the magnetic field is inversely proportional to the distance from the wire (r).
The strength of the magnetic field around a long straight wire carrying current is inversely proportional to the distance from the wire.
Reasoning:
The magnetic field around a long straight wire carrying current is a circular pattern. The magnetic field lines are perpendicular to the wire and form concentric circles around it.
- The magnetic field is strongest closest to the wire because the field lines are concentrated in a smaller area.
- As you move away from the wire, the magnetic field lines spread out over a larger area, making the magnetic field weaker.
- The strength of the magnetic field is inversely proportional to the distance from the wire. This means that if you double the distance from the wire, the strength of the magnetic field will be reduced to one-fourth its original strength.
Formula:
The formula for the magnetic field around a long straight wire carrying current is:
B = (μ0 * I)/(2πr)
- B is the magnetic field (in teslas)
- μ0 is the permeability of free space (4π x 10^-7 T m/A)
- I is the current in the wire (in amperes)
- r is the distance from the wire (in meters)
This formula shows that the magnetic field is inversely proportional to the distance from the wire (r).
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The strength of the magnetic field around a long straight wire carrying current isa)the same everywhere around the wire at any distanceb)inversely proportional to the distance from the wirec)inversely proportional to the square of the distance from the wired)directly proportional to the square of the distance from the wireCorrect answer is option 'B'. Can you explain this answer?
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