a) ii. A point particle of charge q is moving along a trajectory described by a position vector r(t). A student is tryin

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A Ii A Point Particle Of Charge Q Is Moving Along A Trajectory Described By A Position Vector R T A Student Is Tryin 1 (107.11 KiB) Viewed 13 times

a) ii. A point particle of charge q is moving along a trajectory described by a position vector r(t). A student is trying to determine the time-dependent potentials and fields generated by the particle at point P located at 7, near the trajectory. i. 111. ii. Sketch a diagram, at some instant in time, showing the particle and its trajectory, the vectors , rp and r = rp - q q The point particle in part a) is known to move with a uniform velocity v = vî along the positive x-axis. i. Describe briefly how the motion of the particle affects its charge as a source to the potentials and fields. Sketch a diagram similar to the one in part a) i. in order to describe this new situation. Add vector R = (r₂ — vt) at time t to the diagram. Write expressions for the electric field È(r₁, t) and the magnetic field B(rp, t) at point P as a function of R and v. Sketch a few field lines representing the electric fields E (7) at the same radial distances R from the particle but at some different directions from 7. Explain your sketch based on the corresponding expression in part ii.