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.principle of superposition: the magnetic field of several sources is the vector addition of magnetic field of each individual source. 4.2.2 Magnetic Field, Lorentz Force Let us suppose that there is a point charge q (moving with a velocity v and, located at r at a given time t) in presence of both the electric field E (r) and the magnetic
1) The magnetic field created by the induced current in a metallic sample due to timefluctuation of the external magnetic field of the coil wants to avoid its cause (i.e., the coil’s fluctuating magnetic field). 2) Thus, the induced magnetic field in the sample and the external fluctuating magnetic field of the coil repel each other.
Find the magnetic field at point P for each of the steady current configurations shown in Figure 5.3. a) The total magnetic field at P is the vector sum of the magnetic fields produced by the four segments of the current loop. Along the two straight sections of the loop, r ˆ and dl are parallel or opposite, and thus dl ¥ r ˆ = 0. 13 Because the force is always perpendicular to the velocity (direction of motion), the Magnetic force can do no work on q. F qvB v vv = × W =F⋅∆r=0 v v since Fr B vv ⊥∆ Bfield cannot change the Kinetic Energy of a moving particle, but can change its direction of motion. W net =∆KE=0 Motion of charged particles in a M. Field
List of Magnetism Formulas. 1. Magnetic moment. (a) The magnetic moment produced due to motion of electron: M = iA = – ev 2 π r (πr 2) = – evr 2 = − e ω r 2 2. = e 2 m L = n ( eh 2 π m), Here µ B = eh 2 π m Bohr’s magneton. where L is the angular momentum of the electron, (b) For a bar magnet.