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Chapter 29: Q50P (page 861)
A solenoid that is long has a radius ofand a winding ofrole="math" localid="1663136568607" ; it carries a current of. Calculate the magnitude of the magnetic field inside the solenoid.
The magnitude of the magnetic field inside the solenoid is
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Figure 29-25 represents a snapshot of the velocity vectors of four electrons near a wire carrying current i. The four velocities have the same magnitude; velocity is directed into the page. Electrons 1 and 2 are at the same distance from the wire, as are electrons 3 and 4. Rank the electrons according to the magnitudes of the magnetic forces on them due to current i, greatest first.
In Figure a, two circular loops, with different currents but the same radius of , are centered on a y axis. They are initially separated by distance , with loop 2 positioned at the origin of the axis. The currents in the two loops produce a net magnetic field at the origin, with y component . That component is to be measured as loop 2 is gradually moved in the positive direction of the y axis. Figure b gives as a function of the position of loop 2. The curve approaches an asymptote of as . The horizontal scale is set by. (a) What are current in loop 1 and (b) What are current in loop 2?
In Fig. 29-44 point is at distance on the perpendicular bisector of a straight wire of length . carrying current. (Note that the wire is notlong.) What is the magnitude of the magnetic field at due to i?
Figure 29-73a shows a length of wire carrying a currentand bent into a circular coil of one turn. In Fig. 29-73b the same length of wire has been bent to give a coil of two turns, each of half the original radius. (a) Ifare the magnitudes of the magnetic fields at the centers of the two coils, what is the ratio ? (b) What is the ratioof the dipole moment magnitudes of the coils?
Figure 29-80 shows a cross-section of a long cylindrical conductor of radius containing a long cylindrical hole of radius. The central axes of the cylinder and hole are parallel and are distanceapart; currentis uniformly distributed over the tinted area. (a) What is the magnitude of the magnetic field at the center of the hole? (b) Discuss the two special casesand.
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