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When we consider a point charge q moving with a velocity vecv at a given time in presence of magnetic field vecB, the charged particle experiences a magnetic force vecF_m = q[vecv xx vecB]. The force was first given by H.A. Lorentz and is called the Lorentz magnetic force. The force depends on q, vecv and vecB and involves a vector product of vecv and vecB. The force acts in a side ways direction perpendicular to both the velocity and magnetic field and the direction is given by right hand thumb rule for vector product. Obviously force on a negative charge is opposite to that on a positive charge. Define SI unit of magnetic field on the basis of Lorentz force. |
| Answer» Solution :In the relation `vecF_m = q[vecv xx vecB] ` if `q = 1 C, vecv = 1 ms^(-1), vecB = 1 T and vecv and vecB` are in MUTUALLY perpendicular directions, then `F_B = 1N`. Hence we define one unit field in SI system as the field in which a particle having a charge of 1C moving with ALONG direction perpendicular to the direction of negative field with a constant VELOCITY of `1 ms^(-1)` experiences a force of 1 N . This unit of magnetic field is called TESLA (T). | |