Directions: In the following questions, a statement of assertion (A) ...
The magnitude of the magnetic field is
1. directly proportional to the current I passing through the wire.
2. Inversely proportional to the distance r from the wire.
The magnetic field is stronger at a point that is nearer to the conductor and goes on decreasing on moving away from the conductor.
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Directions: In the following questions, a statement of assertion (A) ...
Assertion: The magnetic field is stronger at a point which is nearer to the conductor and goes on decreasing on moving away from the conductor.
Reason: The magnetic field B produced by a straight current carrying wire is inversely proportional to the distance from the wire.
The correct answer is option 'A', which states that both the assertion and reason are true, and the reason is the correct explanation of the assertion.
Explanation:
When an electric current flows through a straight wire, it creates a magnetic field around the wire. The strength of this magnetic field depends on the distance from the wire.
Explanation of Assertion:
The assertion states that the magnetic field is stronger at a point which is nearer to the conductor and goes on decreasing on moving away from the conductor. This statement is true.
When an electric current flows through a wire, the magnetic field forms concentric circles around the wire. The strength of the magnetic field decreases as we move away from the wire. This is because the magnetic field lines spread out and become more spread apart as they move away from the wire. Hence, the magnetic field is stronger near the wire and weaker farther away.
Explanation of Reason:
The reason states that the magnetic field B produced by a straight current carrying wire is inversely proportional to the distance from the wire. This statement is also true.
According to Ampere's law, the magnetic field produced by a straight current carrying wire is directly proportional to the current and inversely proportional to the distance from the wire. This can be mathematically represented as:
B ∝ (I / r)
Where B is the magnetic field, I is the current, and r is the distance from the wire. This equation shows that the magnetic field decreases as the distance from the wire increases.
Explanation of Correct Answer:
Both the assertion and reason are true. The reason provides a correct explanation for the assertion. The magnetic field is indeed stronger near the conductor and decreases as we move away from it, which is explained by the inverse relationship between the magnetic field and the distance from the wire. Therefore, the correct answer is option 'A'.
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