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Consider the following statements associated with the characteristics of static magnetic field:
1. It is solenoidal.
2. Magnetic flux lines are not closed in certain cases.
3. The total number of flux lines entering a given region is equal to the total number of flux lines leaving the region.
4. It is conservative.
Which of the above statements is/are not correct?
1. It is solenoidal.
2. Magnetic flux lines are not closed in certain cases.
3. The total number of flux lines entering a given region is equal to the total number of flux lines leaving the region.
4. It is conservative.
Which of the above statements is/are not correct?
- a)2 only
- b)1 and 4 only
- c)2 and 4 only
- d)1, 2 and 3 only
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Consider the following statements associated with the characteristics ...
- Static magnetic field is non-conservative unlike static electric field. Hence, statement-4 is not correct.
- Magnetic flux lines are always closed. Hence, statement-2 is not correct.
- Statement 1 and 3 are correct.
Most Upvoted Answer
Consider the following statements associated with the characteristics ...
Correct Answer: c) 2 and 4 only
Explanation:
The given statements are related to the characteristics of a static magnetic field. Let's analyze each statement one by one:
Statement 1: It is solenoidal.
This statement is correct. A static magnetic field is solenoidal, which means that it satisfies the solenoidal condition. The solenoidal condition states that the divergence of the magnetic field is zero, i.e., ∇ · B = 0, where ∇ is the divergence operator and B is the magnetic field. This condition holds for a static magnetic field, indicating that the magnetic field lines are closed loops.
Statement 2: Magnetic flux lines are not closed in certain cases.
This statement is correct. In certain cases, such as near magnetic monopoles or in the presence of magnetic sources, the magnetic flux lines may not form closed loops. Magnetic monopoles are hypothetical particles that have only a north (N) or a south (S) pole, unlike everyday magnets that have both poles. In the presence of magnetic sources, the magnetic field lines can have different patterns depending on the arrangement of the sources.
Statement 3: The total number of flux lines entering a given region is equal to the total number of flux lines leaving the region.
This statement is correct. According to the principle of conservation of magnetic flux, the total magnetic flux entering a closed surface is equal to the total magnetic flux leaving the surface. This principle is based on the fact that magnetic field lines are always closed loops and do not have a starting or ending point.
Statement 4: It is conservative.
This statement is not correct. A static magnetic field is not conservative. A conservative field is one in which the work done by the field on a particle moving along a closed loop is zero. In a static magnetic field, the work done by the magnetic field on a moving charged particle depends on the path taken by the particle, indicating that the magnetic field is non-conservative.
Therefore, the correct answer is option c) 2 and 4 only, as statement 2 and 4 are not correct.
Explanation:
The given statements are related to the characteristics of a static magnetic field. Let's analyze each statement one by one:
Statement 1: It is solenoidal.
This statement is correct. A static magnetic field is solenoidal, which means that it satisfies the solenoidal condition. The solenoidal condition states that the divergence of the magnetic field is zero, i.e., ∇ · B = 0, where ∇ is the divergence operator and B is the magnetic field. This condition holds for a static magnetic field, indicating that the magnetic field lines are closed loops.
Statement 2: Magnetic flux lines are not closed in certain cases.
This statement is correct. In certain cases, such as near magnetic monopoles or in the presence of magnetic sources, the magnetic flux lines may not form closed loops. Magnetic monopoles are hypothetical particles that have only a north (N) or a south (S) pole, unlike everyday magnets that have both poles. In the presence of magnetic sources, the magnetic field lines can have different patterns depending on the arrangement of the sources.
Statement 3: The total number of flux lines entering a given region is equal to the total number of flux lines leaving the region.
This statement is correct. According to the principle of conservation of magnetic flux, the total magnetic flux entering a closed surface is equal to the total magnetic flux leaving the surface. This principle is based on the fact that magnetic field lines are always closed loops and do not have a starting or ending point.
Statement 4: It is conservative.
This statement is not correct. A static magnetic field is not conservative. A conservative field is one in which the work done by the field on a particle moving along a closed loop is zero. In a static magnetic field, the work done by the magnetic field on a moving charged particle depends on the path taken by the particle, indicating that the magnetic field is non-conservative.
Therefore, the correct answer is option c) 2 and 4 only, as statement 2 and 4 are not correct.
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Consider the following statements associated with the characteristics of static magnetic field:1. It is solenoidal.2. Magnetic flux lines are not closed in certain cases.3. The total number of flux lines entering a given region is equal to the total number of flux lines leaving the region.4. It is conservative.Which of the above statements is/are not correct?a)2 onlyb)1 and 4 onlyc)2 and 4 onlyd)1, 2 and 3 onlyCorrect answer is option 'C'. Can you explain this answer?
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