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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?
Verified Answer
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 is a key property of the magnetic field produced by such a configuration.
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The magnetic field inside a long straight solenoid carrying current _...
Understanding Magnetic Field in a Solenoid
The magnetic field inside a long straight solenoid is a fundamental concept in electromagnetism.
Uniform Magnetic Field
- Inside a long solenoid, the magnetic field lines are parallel and evenly spaced.
- This indicates that the magnetic field strength is uniform throughout the interior of the solenoid.
Factors Affecting the Magnetic Field
- The magnetic field inside a solenoid depends on:
- The number of turns per unit length (n).
- The current (I) flowing through the solenoid.
- The formula for the magnetic field (B) inside a solenoid is given by:
B = μ₀nI
where μ₀ is the permeability of free space.
Behavior at the Ends
- At the ends of a solenoid, the magnetic field does not decrease; instead, it remains approximately constant inside.
- However, outside the solenoid, the field lines diverge, leading to a much weaker magnetic field.
Conclusion
- Since the magnetic field remains consistent at all points within the long solenoid and does not vary with position along its length, the correct answer is indeed option 'D': the magnetic field inside a long straight solenoid carrying current is the same at all points.
This property is crucial for applications in electromagnets, inductors, and various electronic devices, making the solenoid an essential component in physics and engineering.
The magnetic field inside a long straight solenoid is a fundamental concept in electromagnetism.
Uniform Magnetic Field
- Inside a long solenoid, the magnetic field lines are parallel and evenly spaced.
- This indicates that the magnetic field strength is uniform throughout the interior of the solenoid.
Factors Affecting the Magnetic Field
- The magnetic field inside a solenoid depends on:
- The number of turns per unit length (n).
- The current (I) flowing through the solenoid.
- The formula for the magnetic field (B) inside a solenoid is given by:
B = μ₀nI
where μ₀ is the permeability of free space.
Behavior at the Ends
- At the ends of a solenoid, the magnetic field does not decrease; instead, it remains approximately constant inside.
- However, outside the solenoid, the field lines diverge, leading to a much weaker magnetic field.
Conclusion
- Since the magnetic field remains consistent at all points within the long solenoid and does not vary with position along its length, the correct answer is indeed option 'D': the magnetic field inside a long straight solenoid carrying current is the same at all points.
This property is crucial for applications in electromagnets, inductors, and various electronic devices, making the solenoid an essential component in physics and engineering.
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