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What is the magnetic field outside a solenoid?
- a)Infinity
- b)Zero
- c)Double the value of the field inside
- d)Half the value of the field inside
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
What is the magnetic field outside a solenoid?a)Infinityb)Zeroc)Double...
There are no magnetic lines of force outside a solenoid, hence the magnetic field outside a solenoid is zero.
Most Upvoted Answer
What is the magnetic field outside a solenoid?a)Infinityb)Zeroc)Double...
Understanding the Magnetic Field of a Solenoid
The magnetic field inside a long, tightly wound solenoid is uniform and directed along the axis of the solenoid. However, outside the solenoid, the behavior of the magnetic field is different.
Magnetic Field Inside a Solenoid
- The magnetic field (B) inside a solenoid is given by the formula:
- B = μ₀ * n * I
- Where μ₀ is the permeability of free space, n is the number of turns per unit length, and I is the current through the solenoid.
Magnetic Field Outside a Solenoid
- The magnetic field outside a long solenoid approaches zero. This can be explained by the following points:
- Field Lines: The magnetic field lines inside the solenoid are parallel and close together, indicating a strong field. However, outside, the lines spread out and cancel each other.
- Ampere's Law: According to Ampere's Law, the net magnetic field around a closed loop outside the solenoid is zero, as the contributions from each section of the solenoid negate each other.
- Ideal Conditions: This analysis assumes an ideal solenoid that is infinitely long. In practical scenarios, there may be a very weak field outside, but it is negligible compared to the inside field.
Conclusion
- Therefore, the correct answer to the question regarding the magnetic field outside a solenoid is:
- Zero (Option B). The solenoid effectively confines its magnetic field within its coils, leading to a negligible magnetic field in the surrounding area.
The magnetic field inside a long, tightly wound solenoid is uniform and directed along the axis of the solenoid. However, outside the solenoid, the behavior of the magnetic field is different.
Magnetic Field Inside a Solenoid
- The magnetic field (B) inside a solenoid is given by the formula:
- B = μ₀ * n * I
- Where μ₀ is the permeability of free space, n is the number of turns per unit length, and I is the current through the solenoid.
Magnetic Field Outside a Solenoid
- The magnetic field outside a long solenoid approaches zero. This can be explained by the following points:
- Field Lines: The magnetic field lines inside the solenoid are parallel and close together, indicating a strong field. However, outside, the lines spread out and cancel each other.
- Ampere's Law: According to Ampere's Law, the net magnetic field around a closed loop outside the solenoid is zero, as the contributions from each section of the solenoid negate each other.
- Ideal Conditions: This analysis assumes an ideal solenoid that is infinitely long. In practical scenarios, there may be a very weak field outside, but it is negligible compared to the inside field.
Conclusion
- Therefore, the correct answer to the question regarding the magnetic field outside a solenoid is:
- Zero (Option B). The solenoid effectively confines its magnetic field within its coils, leading to a negligible magnetic field in the surrounding area.
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