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Chapter 28: Problem 3
The number of turns in a solenoid is doubled, and its length is halved. How does its magnetic field change? a) it doubles b) it is halved c) it quadruples d) it remains unchanged
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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.
A long solenoid (diameter of \(6.00 \mathrm{~cm}\) ) is wound with 1000 turns per meter of thin wire through which a current of 0.250 A is maintained. A wire carrying a current of 10.0 A is inserted along the axis of the solenoid. What is the magnitude of the magnetic field at a point \(1.00 \mathrm{~cm}\) from the axis?
A long, straight wire lying along the \(x\) -axis carries a current, \(i\), flowing in the positive \(x\) -direction. A second long, straight wire lies along the \(y\) -axis and has a current \(i\) in the positive \(y\) -direction. What is the magnitude and the direction of the magnetic field at point \(z=b\) on the \(z\) -axis?
A loop of wire of radius \(R=25.0 \mathrm{~cm}\) has a smaller loop of radius \(r=0.900 \mathrm{~cm}\) at its center such that the planes of the two loops are perpendicular to each other. When a current of \(14.0 \mathrm{~A}\) is passed through both loops, the smaller loop experiences a torque due to the magnetic field produced by the larger loop. Determine this torque assuming that the smaller loop is sufficiently small so that the magnetic field due to the larger loop is same across the entire surface.
A 50-turn rectangular coil of wire of dimensions \(10.0 \mathrm{~cm}\) by \(20.0 \mathrm{~cm}\) lies in a horizontal plane, as shown in the figure. The axis of rotation of the coil is aligned north and south. It carries a current \(i=1.00 \mathrm{~A}\), and is in a magnetic field pointing from west to east. A mass of \(50.0 \mathrm{~g}\) hangs from one side of the loop. Determine the strength the magnetic field has to have to keep the loop in the horizontal orientation.
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