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please just do part b. thanks. 1. Point Charge and Solenoid (a) A point charge q...
Please answer 1a to 1d. Thanks. There is current flowing in the solenoid in part 1a. Short 1a: (5 pts.) A current loop sits just above a solenoid The loop A. gets sucked in B. gets pushed out C. rotates around z D. rotates around v E. rotates around X Short 1b: (5 pts.) An infinite wire carries a current in the z direction. Next to it there is a positive charge also moving along z What is the direction...
5. A uniformly charge solid sphere, of radius R and total charge Q, is centered at the origin and spinning at a constant angular velocity w about the 2-axis. Find the current density J at any point (r, 0,0) within the sphere.
(a) A ring (in y-z plane) of radius R, mass M, with uniform charge Q is rotated about its axis (x-axis) as shown. Derive an expression for the magnetic dipole momentů for this ring. Express ŭ in terms of the angular momentum, 1o , of the ring (standard form). (6) Using the result of part (a) write down an expression for the magnetic dipole moment of the ring shown in Fig (6) (the axis of this ring is în which...
how do i solve this? Part I Angular Momentum 1. Find the angular momentum of a rectangular box (dimensions X XY) rotating about its center of mass (mass m). Assume the box has angular velocity w and the center of mass is located at the origin. If the rotation axis changes to the point (x, y) away from the center of mass how would the angular momentum change? Part I Angular Momentum 1. Find the angular momentum of a rectangular...
8. This one is tough! The ezact expressions for the electric and magnetic fields at the origin, due to a point charge, q at position ř, read where us cf-ö, and d is the acceleration of the charge. (a) Using these results, determine the exact electric and magnetic fields at the center of the orbit of a point charge, for whichR (the minus sign is because we want the fields at the center of the orbit), Rw0, and dR. Here...
You have four point charges. Their location and charges in Cartesian coordinates are: a positive charge, 2q, located at (a,0,0), another charge -2q located at (-a,0,0), a 3rd charge -q located at (0,0,b), and finally a fourth charge +5q located at (0,0,-b) (a) What is the total charge, and dipole moment, of this distribution of charges? Use the methods of "the multipole expansion" (Griffiths section 3.4.1) to find a simple approximate formula for V(r,0) (in spherical coordinates!) valid at points...
4. Uniformly moving point charge A point charge q is in uniform motion with velocity v = vzˆ, where v is a constant. At time t = 0 the charge is located at the origin. At a later time t 0 , at the field point x = x0, y = z = 0: (a) Find the scalar and vector potential. (b) What coordinate components does the electric field have? (c) What coordinate components does the magnetic field have? (d)...
1. A point-charge q moving at velocity valong the z-axis is passing through the coordinate origin (a) Calculate aEa t in the Coulomb approximation on the +z-axis ahead of the charge [qy2π4 (b) Use the Biot-Savart law to calculate Βφ off-axis near the point in (a), ati distance r« z from it (use (c) Check (i) that VxB has the expected value (predicted by the relevant Maxwell's equation) in the cylindrical coordinates)o1. neighborhood of the point in question, and (ii)...
1. A point charge +Q is located at the origin, and a point charge -Q is located at (x,y) = (0,L). (a) Find the electric field at point P, which is a distance L away from both +Q and -Q, as shown in the diagram. Express your answer in unit vector notation using the coordinate system given. (b) A point charge -2Q is placed at point P. Find the Coulomb force on the charge -2Q due to the other two...
Magnetic Field inside a Very Long Solenoid Learning Goal: To apply Ampère's law to find the magnetic field inside an infinite solenoid. In this problem we will apply Ampère's law, written ?B? (r? )?dl? =?0Iencl, to calculate the magnetic field inside a very long solenoid (only a relatively short segment of the solenoid is shown in the pictures). The segment of the solenoid shown in (Figure 1) has length L, diameter D, and n turns per unit length with each...