Q: An infinitely long circular cylinder carries a uniform magnetization M parallel to
An infinitely long circular cylinder carries a uniform magnetization M parallel to its axis. Find the magnetic field (due to M) inside and outside the cylinder.
See AnswerQ: A long circular cylinder of radius R carries a magnetization M =
A long circular cylinder of radius R carries a magnetization M = ks2 φˆ, where k is a constant, s is the distance from the axis, and φˆ is t...
See AnswerQ: A short circular cylinder of radius a and length L carries a
A short circular cylinder of radius a and length L carries a “frozen-in” uniform magnetization M parallel to its axis. Find the bound current, and sketch the magnetic field of the cylinder. (Make three...
See AnswerQ: Two concentric metal spherical shells, of radius a and b,
Two concentric metal spherical shells, of radius a and b, respectively, are separated by weakly conducting material of conductivity σ (Fig. 7.4a). (a) If they are maintained at a potential...
See AnswerQ: A square loop (side a) is mounted on a vertical
A square loop (side a) is mounted on a vertical shaft and rotated at angular velocity ω (Fig. 7.19). A uniform magnetic ï¬eld B points to the right. Find the E(t) for this al...
See AnswerQ: Check the fundamental theorem for gradients, using T = x 2
Check the fundamental theorem for gradients, using T = x 2 + 4xy + 2yz3, the points a = (0, 0, 0), b = (1, 1, 1), and the three paths in Fig. 1.28: (a) (0, 0, 0) → (1, 0, 0) â&...
See AnswerQ: A square loop is cut out of a thick sheet of aluminum
A square loop is cut out of a thick sheet of aluminum. It is then placed so that the top portion is in a uniform magnetic ï¬eld B, and is allowed to fall under gravity (Fig. 7.20). (In...
See AnswerQ: A long solenoid, of radius a, is driven by an
A long solenoid, of radius a, is driven by an alternating current, so that the field inside is sinusoidal: / A circular loop of wire, of radius a/2 and resistance R, is placed inside the solenoid, and...
See AnswerQ: A square loop of wire, with sides of length a,
A square loop of wire, with sides of length a, lies in the first quadrant of the xy plane, with one corner at the origin. In this region, there is a nonuniform time-dependent magnetic field / (where k...
See AnswerQ: As a lecture demonstration a short cylindrical bar magnet is dropped down
As a lecture demonstration a short cylindrical bar magnet is dropped down a vertical aluminum pipe of slightly larger diameter, about 2 meters long. It takes several seconds to emerge at the bottom, w...
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