Derive an expression for the magnitude of the magnetic field (c) at points within the outer conducting tube (b

Chapter 32, Problem 003 Your answer is partially correct. Try again. A Gaussian surface in the shape of a right circular cylinder with end caps has a radius of 15.0 cm and a length of 114 cm. Through one end there is an inward magnetic flux of 21.0 μwb. At the other end there is a uniform magnetic field of 1.27 mT, normal to the surface and directed outward. What are the (a) magnitude and (b) direction (inward or outward) of the net magnetic flux through the curved surface? (a) Number(6.871 (b)T inward the tolerance is +/-2%

Suppose that the current density carried by an infinite cylindrical wire is not uniform but in fact varies as Jz(u) = J0 * [1 - (u2 / R2)], where J0 is the value of the current density at the wire's center, R is the radius of the wire, and u is distance from the axis of the wire. Assuming that the magnetic field is circular, compute the wire's magnetic field both inside and outside the wire. (Ampere's law makes even nonuniform current densities manageable.) (Hint: The answer is BФ = 0.25 * μ0 * J0 * R on surface at u = R.)

A coaxial cable has an inside conductor of a radius a carrying a current I. The current returns as a uniform current through the outside conductor with an inside radius b and outside radius c. (A uniform current means that the current density is constant.) What is the magnetic field a distance r from the center at a<r<b, b<r<c, and c<r.

A coaxial cable has an inside conductor of a radius a carrying a current I. The current returns as a uniform current through the outside conductor with an inside radius b and outside radius c. (A uniform current means that the current density is constant.) What is the magnetic field a distance r from the center at r< a, a<r<b, b<r<c, and c<r.

Suppose that the magnetic dipole moment of Earth is 8.6 x 1025 J/T. (a) If the origin of this magnetism were a magnetized iron sphere at the center of Earth, what would be its radius? (b) What fraction of the volume of Earth would such a sphere occupy? The radius of Earth is 6.37 x 106 m. Assume complete alignment of the dipoles. The density of Earth's inner core is 13 g/cm³. The magnetic dipole moment of an iron atom is 2.1 × 10-23 J/T. Iron has a molar mass of 55.9 g/mol. (Note: Earth's inner core is in fact thought to be in both liquid and solid forms and partly iron, but a permanent magnet as the source of Earth's magnetism has been ruled out by several considerations. For one, the temperature is certainly above the Curie point.) (a) Number i Units (b) Number i Units