Chapter 28: Problem 12
Discuss how the accuracy of a compass needle in showing the true direction of north can be affected by the magnetic field due to currents in wires and appliances in a residential building.
Chapter 28: Problem 12
Discuss how the accuracy of a compass needle in showing the true direction of north can be affected by the magnetic field due to currents in wires and appliances in a residential building.
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Get started for freeParallel wires, a distance \(D\) apart, carry a current, \(i\), in opposite directions as shown in the figure. A circular loop, of radius \(R=D / 2\), has the same current flowing in a counterclockwise direction. Determine the magnitude and the direction of the magnetic field from the loop and the parallel wires at the center of the loop as a function of \(i\) and \(R\).
An electron has a spin magnetic moment of magnitude \(\mu=9.285 \cdot 10^{-24} \mathrm{~A} \mathrm{~m}^{2}\). Consequently, it has energy associated with its orientation in a magnetic field. If the difference between the energy of an electron that is "spin up" in a magnetic field of magnitude \(B\) and the energy of one that is "spin down" in the same magnetic field (where "up" and "down" refer to the direction of the magnetic field) is \(9.460 \cdot 10^{-25} \mathrm{~J}\), what is the field magnitude, \(B\) ?
A long, straight wire carrying a 2.00-A current lies along the \(x\) -axis. A particle with charge \(q=-3.00 \mu \mathrm{C}\) passes parallel to the \(z\) -axis through the point \((x, y, z)=(0,2,0)\). Where in the \(x y\) -plane should another long, straight wire be placed so that there is no magnetic force on the particle at the point where it crosses the plane?
Many electrical applications use twisted-pair cables in which the ground and signal wires spiral about each other. Why?
A long, straight wire has a 10.0 - A current flowing in the positive \(x\) -direction, as shown in the figure. Close to the wire is a square loop of copper wire that carries a 2.00 - A cur- rent in the direction shown. The near side of the loop is \(d=0.50 \mathrm{~m}\) away from the wire. The length of each side of the square is \(a=1.00 \mathrm{~m}\). a) Find the net force between the two current-carrying objects. b) Find the net torque on the loop.
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