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Chapter 30: Q68P (page 900)
A toroidal inductor with an inductance of 9.0.mH encloses a volume of . If the average energy density in the toroid is, what is the current through the inductor?
5.58 A
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A wooden toroidal core with a square cross section has an inner radius of10 cm and an outer radius of 12 cm. It is wound with one layer of wire (of diameter1.0 mmand resistance per meter ). (a) What is the inductance? (b) What is the inductive time constant of the resulting toroid? Ignore the thickness of the insulation on the wire.
Figure shows a rod of length L = 10.0 cm that is forced to move at constant speed v = 5.0 m/s along horizontal rails. The rod, rails, and connecting strip at the right form a conducting loop. The rod has resistance ; the rest of the loop has negligible resistance. A current i = 100 Athrough the long straight wire at distance a = 10.0 mm from the loop sets up a (non-uniform) magnetic field through the loop. (a) Find the emf. (b) Find the current induced in the loop. c) At what rate is thermal energy generated in the rod? (d) What is the magnitude of the force that must be applied to the rod to make it move at constant speed?(e) At what rate does this force do work on the rod?
A coil with 150turns has a magnetic flux of through each turn when the current is 2.00mA . (a) What is the inductance of the coil? What are the (b) inductance and (c) flux through each turn when the current is increased to i = 4.00mA ? (d) What is the maximum emf across the coil when the current through it is given by i= (3.00mA)cos(377 t) , with t in seconds?
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?
Question: In Figure, a stiff wire bent into a semicircle of radius a = 2.0cmis rotated at constant angular speed in a uniform 20mTmagnetic field. (a) What is the frequency? (b) What is the amplitude of the emf induced in the loop?
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