derive the expression of force experienced by a current carrying conductor placed in the magnetic field of a magnet
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Force on current carrying conductor on the basis of force on a moving charge. Consider a metallic conductor of length L, cross- sectional area A placed in a uniform magnetic field B and its length makes an angle θ with the direction of magnetic field B. The current in the conductor is I.
According to free electron model of metals, the current in a metal is due to the motion of free electrons. When a conductor is placed in a magnetic field, the magnetic field exerts a force on every free-electron. The sum of forces acting on all electrons in the net force acting on the conductor. If vd is the drift velocity of free electrons, then
Current I=neAvd
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