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The magnetic field inside a long straight solenoid-carrying current _____.
- a)is zero.
- b)decreases as we move towards its end.
- c)increases as we move towards its end.
- d)is the same at all points.
Correct answer is option 'D'. Can you explain this answer?
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The magnetic field inside a long straight solenoid-carrying current _...
The Magnetic Field Inside a Solenoid
The magnetic field inside a long straight solenoid is a fundamental concept in electromagnetism. Here’s a detailed explanation of why the correct answer is option 'D': "is the same at all points."
Uniform Magnetic Field
- A long solenoid is a coil of wire with many turns, and when an electric current flows through it, a magnetic field is generated.
- Inside the solenoid, the magnetic field lines are parallel and evenly spaced, indicating that the field is uniform.
Key Characteristics of the Magnetic Field
- Strength: The magnetic field (B) inside a long solenoid is directly proportional to the current (I) flowing through it and the number of turns per unit length (n) of the solenoid. It can be expressed as B = μ₀nI, where μ₀ is the permeability of free space.
- Consistency: Because the magnetic field is determined by the current and the number of turns, it remains constant throughout the length of the solenoid, as long as it is sufficiently long compared to its diameter.
Behavior Near the Ends
- At the ends of the solenoid, the magnetic field does begin to diminish and is not uniform; however, the question specifically refers to the interior of the solenoid.
- Thus, while the field may decrease at the ends, inside the solenoid, it remains effectively constant.
Conclusion
- Therefore, the magnetic field inside a long straight solenoid-carrying current is the same at all points, making option 'D' the correct answer. This uniformity is crucial in various applications, such as inductors and electromagnets, where a stable magnetic field is desired.
The magnetic field inside a long straight solenoid is a fundamental concept in electromagnetism. Here’s a detailed explanation of why the correct answer is option 'D': "is the same at all points."
Uniform Magnetic Field
- A long solenoid is a coil of wire with many turns, and when an electric current flows through it, a magnetic field is generated.
- Inside the solenoid, the magnetic field lines are parallel and evenly spaced, indicating that the field is uniform.
Key Characteristics of the Magnetic Field
- Strength: The magnetic field (B) inside a long solenoid is directly proportional to the current (I) flowing through it and the number of turns per unit length (n) of the solenoid. It can be expressed as B = μ₀nI, where μ₀ is the permeability of free space.
- Consistency: Because the magnetic field is determined by the current and the number of turns, it remains constant throughout the length of the solenoid, as long as it is sufficiently long compared to its diameter.
Behavior Near the Ends
- At the ends of the solenoid, the magnetic field does begin to diminish and is not uniform; however, the question specifically refers to the interior of the solenoid.
- Thus, while the field may decrease at the ends, inside the solenoid, it remains effectively constant.
Conclusion
- Therefore, the magnetic field inside a long straight solenoid-carrying current is the same at all points, making option 'D' the correct answer. This uniformity is crucial in various applications, such as inductors and electromagnets, where a stable magnetic field is desired.
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The magnetic field inside a long straight solenoid-carrying current _...
The magnetic field inside a long straight solenoid carrying current is the same at all points. This characteristic of a solenoid's magnetic field is a key property that remains consistent along its length, providing uniformity in the field distribution.
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The magnetic field inside a long straight solenoid-carrying current _____.a)is zero.b)decreases as we move towards its end.c)increases as we move towards its end.d)is the same at all points.Correct answer is option 'D'. Can you explain this answer?
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