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Chapter 30: Q50P (page 899)
The current in an RL circuit builds up to one-third of its steady-state value in 5.00 s . Find the inductive time constant.
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A circular region in an xy plane is penetrated by a uniform magnetic field in the positive direction of the z axis. The field鈥檚 magnitude B (in Tesla) increases with time t (in seconds) according to B = at, where a is a constant. The magnitude E of the electric field set up by that increase in the magnetic field is given by Figure versus radial distance r; the vertical axis scale is set by, and the horizontal axis scale is set by. Find a.
Two solenoids are part of the spark coil of an automobile. When the current in one solenoid falls from to zero in 2.5ms, an emf of 30 kVis induced in the other solenoid. What is the mutual inductance M of the solenoids?
Figures 30-32 give four situations in which we pull rectangular wire loops out of identical magnetic fields page) at the same constant speed. The loops have edge lengths of either L or 2L, as drawn. Rank the situations according to (a) the magnitude of the force required of us and (b) the rate at which energy is transferred from us to the thermal energy of the loop greatest first.
Figure 30-74 shows a uniform magnetic field confined to a cylindrical volume of radius R. The magnitude of is decreasing at a constant rate of 10m Ts. In unit-vector notation, what is the initial acceleration of an electron released at (a) point a (radial distance r=0.05m ), (b) point b (r =0 ), and (c) point c (r =0.05m)?
A rectangular coil of N turns and of length a and width b is rotated at frequency f in a uniform magnetic field, as indicated in Figure. The coil is connected to co-rotating cylinders, against which metal brushes slide to make contact. (a) Show that the emf induced in the coil is given (as a function of time t) by. This is the principle of the commercial alternating-current generator. (b) What value of Nabgives an emf withwhen the loop is rotated at in a uniform magnetic field of 0.500 T?
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