A thin glass rod of radius R and length L carries a uniform surface charge o. It is set spinning about its axis, at an angular velocity o. Find the magnetic field at a distance s>>R from the center of the rod.
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- An infinite rectangular slab of thickness 2d is situated parallel to the x-y plane, with its center at z = 0. Its upper surface is situated at z = d, and its lower surface is at z = -d. The material is uniformly magnetized given by M = Moi, and there are no free currents everywhere. Solve for the magnetic field outside and inside the slab. Verify this by relating it to the auxiliary field given by Ā 1B-M. μο Hint: There is no magnetization outside the slab.A metal cylinder with a radius "R" is placed with its central axis aligned with the z axis. A current, I, flows along its surface only (no current flows on the interior of the cylinder). Calculate the magnetic field strength as a function of distance, r, away from the center of the cylinder for two different regions: (a) r<R and (b) r>R.In the figure, two semicircular arcs have radii R, = 9.52 cm and R, = 3.80 cm, carry current i = 0.889 A, and have the same center of curvature C. What are the (a) magnitude and (b) direction (into or out of the page) of the net magnetic field at C? %3D R1 (a) Number Units (b)
- There are three parallel wires perpendicular to the paper, each carry ing current I that are located at the vertices of a right triangle. The current is coming out of the paper for wires 1 and 2 and into the paper for wire 3. Point A is at the midpoint of the hypotenuse. d 45⁰ 2 A 45° d (X) 3 Calculate the net magnetic field vector (both magnitude and direction) at A.A proton (charge +e, mass mp ), a deuteron (charge +e, mass 2mp ), and an alpha particle (charge +2e, mass 4mp) are accelerated from rest through a common potential difference ∆V . Each of the particles enters a uniform magnetic field B, with its velocity in a direction perpendicular to B. The proton moves in a circular path of radius rp. In terms of rp , determine (a) the radius rd of the circular orbit for the deuteron and (b) the radius ra for the alpha particle.A long straight conducting rod carries a current I with a non-uniform current density J = ar2, and has a radius R. The value of the constant is 32.0 A/mm4 and the radius of the rod is 4.80 mm. Determine the magnitude of the magnetic field at the following points. (b) r2 = 2R