Consider the case of a point test charge q moving with velocity u parallel to an infinitely long straight current (as in Section 7.7 of Rindler). Let λ be the proper charge density of the positive ions and v be the drift velocity of the electrons in the wire. Calculate the charge density of the wire relative to the rest-frame of the test charge q.
Consider the case of a point test charge q moving with velocity u parallel to an...
a)Consider the case of a point test charge q moving with velocity u parallel to an infinitely long straight current (as in Section 7.7 of Rindler). Let λ be the proper charge density of the positive ions and v be the drift velocity of the electrons in the wire. Calculate the charge density of the wire relative to the rest-frame of the test charge q. b) Prove that the force ˜f the test charge feels in its rest-frame corresponds exactly...
a)Consider the case of a point test charge q moving with velocity u parallel to an infinitely long straight current. Let λ be the proper charge density of the positive ions and v be the drift velocity of the electrons in the wire. Calculate the charge density of the wire relative to the rest-frame of the test charge q. b) Prove that the force ˜f the test charge feels in its rest-frame corresponds exactly to the force f on it...
A particle of rest mass mo and charge q is accelerated from rest by a uniform (in the lab frame) electric field Ei. What are the velocity and position of the particle (as a function of time) a. in the lab frame? b. in the rest frame of an observer moving with a velocity vok relative to the lab? c. (Optional) Plot the position and speed of an electron in a uniform field of magnitude 1 MV/m for the time...
Q2. Let u and v be non-parallel vectors in Rn and define Suv (a) Does the point r lie on the straight line through q with direction vector p? (b) Does the point s lie on the straight line through q with direction vector p? (c) Prove that the vectors s and p -r are parallel. (d) Find the intersection point of the line {q+λ p | λ E R} and the line through the points u and v. Q3....
Help please Current Density and Drift Speed A group of charges, each with charge q, moves with velocity v^vector. The number of particles per unit volume is n. What is the current density J^vector of these charges, in magnitude and direction? Make sure that your answer has units of A/m^2. We want to calculate how long it takes an electron to get from a car battery to the starter motor after the ignition switch is turned. Assume that the current...
(a) Consider a parallel plate capacitor with static charge density σ and no medium between the disk and the capacitor. Suppose the capacitor is placed in such a way that the xy plane bisects its interior and the z axis is perpendicular to the plate Assume that the "home" frame is stationary relative to the capacitance, but the "other" frame is moving in the positive x direction at the speed of v. Find the electric field Cartesian com ponents in...
A point-like charge of +5nC is at the origin and travelling with a velocity of 3 x 106 m/s in the positive x-direction. A.) What is the magnetic field vector that this charge produces at (x = y= 0, z = +1mm)? b.)What is the Lorentz force (magnitude and direction) this charge will exert on another charge of -10 nC placed at (x = y =0, z = +1 mm) which is moving with the same speed and in the...
48. A point charge is moving with a uniform velocity Bc along the positive x-direction, parallel to and very close to a corrugated metal sheet (see the figure below). a BC metal sheet The wavelength of the electromagnetic radiation received by an observer along the direction of motion is 2. L/1-8² 3. LBV1 - B2 4. L
The figure shows a particle with positive charge q = 3.20 x 10-19 C moving with speed v = 6.35 x 105 m/s toward a long straight wire with current i = 420 mA. At the instant shown, the particle's distance from the wire is d = 2.54 cm. What is the magnitude of the force on the particle due to the current? Number 196.72E-21 units the tolerance is +/-2%
ELECTROMAGNETISM; Griffiths 4th edition page. Magnetism as a relativistic phenomenon. Why is v- greater than v+? Please provide a complete explanation. Thanks of magnetism.4 Suppose you had a string of positive charges moving along to the right at speed v. I'lI assume the charges are close enough together so that we may regard them as a continuous line charge λ. Superimposed on this positive string is negative one, proceeding to the left at the same speed v. We have, then,...