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If a current-carrying conductor is placed in a uniform magnetic field and oriented parallel to the magnetic field lines, what happens to the force on the conductor?
- a)The force is at its maximum.
- b)The force is zero.
- c)The force is doubled.
- d)The force becomes perpendicular to the field.
Correct answer is option 'B'. Can you explain this answer?
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If a current-carrying conductor is placed in a uniform magnetic field ...
When a current-carrying conductor is oriented parallel to the magnetic field lines, the force experienced by the conductor is zero. This is because the force on the conductor is given by F=BILsinθ, where θ is the angle between the direction of the current and the magnetic field. When θ is 0 degrees (parallel), sinθ is zero, resulting in no force.
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If a current-carrying conductor is placed in a uniform magnetic field ...
Understanding the Scenario
When a current-carrying conductor is placed in a magnetic field, the force on the conductor is determined by the interaction between the magnetic field and the electric current flowing through the conductor.
Magnetic Force on a Conductor
The force (F) experienced by a conductor in a magnetic field can be calculated using the formula:
- F = BIL sin(θ)
Where:
- F is the magnetic force
- B is the magnetic field strength
- I is the current flowing through the conductor
- L is the length of the conductor within the magnetic field
- θ is the angle between the field lines and the conductor
Analyzing the Angle
- When the conductor is oriented parallel to the magnetic field lines, θ = 0 degrees.
- In this case, sin(θ) = sin(0) = 0.
Resulting Force Calculation
- Substituting into the equation:
- F = BIL sin(0) = 0
- Therefore, the force on the conductor becomes zero.
Conclusion
- The correct answer is option B: The force is zero.
- This is because when the conductor is aligned parallel to the magnetic field lines, there is no perpendicular component of the field that can exert a force on the current, leading to zero magnetic force acting on the conductor.
Key Takeaway
- The orientation of the conductor relative to the magnetic field is crucial in determining the magnetic force:
- Parallel Alignment = Zero Force.
When a current-carrying conductor is placed in a magnetic field, the force on the conductor is determined by the interaction between the magnetic field and the electric current flowing through the conductor.
Magnetic Force on a Conductor
The force (F) experienced by a conductor in a magnetic field can be calculated using the formula:
- F = BIL sin(θ)
Where:
- F is the magnetic force
- B is the magnetic field strength
- I is the current flowing through the conductor
- L is the length of the conductor within the magnetic field
- θ is the angle between the field lines and the conductor
Analyzing the Angle
- When the conductor is oriented parallel to the magnetic field lines, θ = 0 degrees.
- In this case, sin(θ) = sin(0) = 0.
Resulting Force Calculation
- Substituting into the equation:
- F = BIL sin(0) = 0
- Therefore, the force on the conductor becomes zero.
Conclusion
- The correct answer is option B: The force is zero.
- This is because when the conductor is aligned parallel to the magnetic field lines, there is no perpendicular component of the field that can exert a force on the current, leading to zero magnetic force acting on the conductor.
Key Takeaway
- The orientation of the conductor relative to the magnetic field is crucial in determining the magnetic force:
- Parallel Alignment = Zero Force.
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If a current-carrying conductor is placed in a uniform magnetic field and oriented parallel to the magnetic field lines, what happens to the force on the conductor?a)The force is at its maximum.b)The force is zero.c)The force is doubled.d)The force becomes perpendicular to the field.Correct answer is option 'B'. Can you explain this answer?
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