# Part 3 problem solving write your complete solution

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Part 3: Problem SolvingWrite your complete solution and final answer.1. A rectangular coil of N turns and of length a and width b is rotated at frequency f in auniform magnetic field B , as indicated in the figure . The coil is connected to co-rotatingcylinders, against which metal brushes slide to make contact. (a) Show that the emfinducedin the coil is given (as a function of time t) byThis is the principle of the commercial alternating-current generator. (b) Design a loopthatwill produce an emf with E0= 150 V when rotated at 60.0 rev/s in a uniformmagneticfield of 0.500 T
2. A metal rod is forced to move with constant velocity along two parallel metal rails,connected with a strip of metal at one end, as shown in the figure. A magnetic field B =0.350 T points out of the page. (a) If the rails are separated by 25.0 cm and the speed oftherod is 55.0 cm/s, what emf is generated? (b) If the rod has a resistance of 18.0 Ω andtherails and connector have negligible resistance, what is the current in the rod? (c) Atwhatrate is energy being transferred to thermal energy?3. A UHF television loop antenna has a diameter of 11 cm. The magnetic field of a TVsignal is normal to the plane of the loop and, at one instant of time, its magnitude ischanging at the rate 0.16 T/s. The magnetic field is uniform. What emf is induced in theantenna?4. The magnetic flux through the loop shown in Fig. 121P11-33 increases according to therelation Φ B = 6.0t 2 + 7.0t, where Φ B is in milliwebers and t is in seconds. (a) What isthe magnitude of the emf induced in the loop when t = 2.0 s? (b) What is the direction ofthe current through R?5.What is the index of refraction in a medium where the speed of light is 1.5×108m/s?6.What is the speed of light in water whose refractive index is 1.33?7.A ray of light is incident through glass, with refractive index 1.52, on an interfaceseparating glass and water with refractive index 1.32. What is the angle of refraction ifthe angle of incidence of the ray in glass is 25 °?
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Term
Spring
Professor
NoProfessor
Tags
Magnetic Field, Wavelength