TB_chapter20 - Chapter 20, Induced Voltages and Inductance...

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Chapter 20, Induced Voltages and Inductance C HAPTER 20 Conceptual Questions C1. A double loop of wire (making 2 turns) is in the x-y plane centered at the origin. A uniform magnetic field is increasing at a constant rate in the positive z -direction.Viewed from the positive z -axis, in which direction is the induced magnetic field in the loop? a. in the positive z -direction b. in the negative z -direction c. There is no induced field because of the double loop. d. There is no induced field because the rate of change of the magnetic field is constant. C2. A circular loop of wire has its radius reduced in half in time Δ t . A uniform magnetic field is at an angle of 60 ° to the plane of the coil, and the magnetic field doubles its intensity in the same time interval Δ t . During this interval, what happens to the flux through the coil? a. It increases. b. It decreases. c. It remains the same. d. More information is needed to make this conclusion. C3. Two solenoids, wound from wire from the same spool, have the same length and cross- sectional area, but solenoid #1 has half the turns of solenoid #2. If these solenoids are each connected to a circuit, and the only non-negligible resistance is that of the solenoids, which solenoid gives the greater time constant and by what factor? a. #1 by a factor of 2 b. #2 by a factor of 2 c. #2 by a factor of 4 d. No answer above is completely correct. C4. One time constant after an RL circuit has its switch closed, how does the current I in it compare to the maximum current I max that occurs for this circuit? a. I > I max /2 b. I = I max /2 c. I < I max /2 d. Without knowing R and L , this cannot be determined. C5. Three loops of wire, one circular, one rectangular, and one square, are made from identical lengths of wire. If the loops are in the same increasing magnetic field perpendicular to the plane of the coils, which loop has the greatest induced emf? a. the circular one b. the rectangular one c. the square one d. All three would have the same emf induced. 86
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Chapter 20, Induced Voltages and Inductance 20.1 Induced emf and Magnetic Flux 1. A uniform 4.5-T magnetic field passes perpendicularly through the plane of a wire loop 0.10 m 2 in area. What flux passes through the loop? a. 5.0 T m 2 b. 0.45 T m 2 c. 0.25 T m 2 d. 0.135 T m 2 2. A uniform 4.5-T magnetic field passes through the plane of a wire loop 0.10 m 2 in area. What flux passes through the loop when the direction of the 4.5-T field is at a 30° angle to the normal of the loop plane? a. 5.0 T m 2 b. 0.52 T m 2 c. 0.39 T m 2 d. 0.225 T m 2 3. A loop of area 0.250 m 2 is in a uniform 0.020 0-T magnetic field. If the flux through the loop is 3.83 × 10 -3 T·m 2 , what angle does the normal to the plane of the loop make with the direction of the magnetic field? a. 40.0°
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TB_chapter20 - Chapter 20, Induced Voltages and Inductance...

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