What force will there be on a conductor, if it is in a magnetic field and the current is running parallel to the lines of a magnetic force?
Attempt at an answer: There will be a force of equilibrium surrounding the current, thus the conductor will remain stationary
Attempt at an answer: There will be a force of equilibrium surrounding the current, thus the conductor will remain stationary
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Let me see if I understand your problem. You have a magnetic filed pointined in some direction, say the z direction. Now in this field you have a current carrying conductor, a wire, with current also flowing in the z direction. If this is correct, then the force on the conductor is zero. And the reason is below.
The force exert on a current carrying conductor by a magnetic field is given by F = iLB sin(q), where i = current, L = length of conductor in the direction of current flow, B is the field strength and q is the angle between L and the direction that B makes. SO if teh current is perfectly aligned with the magnetic field, q = 0 hence teh force is zero. This is just a mathematical statement that magnetic fields interact with moving charges (current) only if the field and direction of current flow are not co-aligned.
The force exert on a current carrying conductor by a magnetic field is given by F = iLB sin(q), where i = current, L = length of conductor in the direction of current flow, B is the field strength and q is the angle between L and the direction that B makes. SO if teh current is perfectly aligned with the magnetic field, q = 0 hence teh force is zero. This is just a mathematical statement that magnetic fields interact with moving charges (current) only if the field and direction of current flow are not co-aligned.
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current? the current makes the magnetic field in the conductor and the magnetic field makes the current (see Faraday's law). The magnetic force or Lorentz force is the force on a point charge due to electromagnetic fields. Consider this, if two vectors a and b that has a result which is a vector c perpendicular to both a and b. The most common example is the vector cross product. If a magnetic field and the current is running parallel to the lines of a magnetic force, then the vector should be defined as a + b + c and there will be no vector product that represent is the situations where a vector must be assigned to the rotation of a body, a magnetic field or a fluid. Again, If a magnetic field and the current is running parallel to the lines of a magnetic force, there will be no the magnetic force itself.
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The Force F acting on a conductor of length L, carrying current i when placed in a magnetic
field of magnetic induction B is given by
F = i [ L X B ] . This is a vector equation giving both the magnitude and direction of the force.
F , L and B are vector quantities. L X B is the vector product of L and B
Magnitude of | L X B | = L B sin θ, where θ is the angle between direction of current flow and
the direction of the magnetic field. As per the question, θ = 0 and hence sin θ = 0.
That shows that F = 0. There is no force acting on the conductor due to the magnetic field.
field of magnetic induction B is given by
F = i [ L X B ] . This is a vector equation giving both the magnitude and direction of the force.
F , L and B are vector quantities. L X B is the vector product of L and B
Magnitude of | L X B | = L B sin θ, where θ is the angle between direction of current flow and
the direction of the magnetic field. As per the question, θ = 0 and hence sin θ = 0.
That shows that F = 0. There is no force acting on the conductor due to the magnetic field.