Physics for Scientists and Engineers
10th Edition
ISBN: 9781337553278
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 30, Problem 38AP
In Figure P30.38, the rolling axle, 1.50 m long, is pushed along horizontal rails at a constant speed v = 3.00 m/s. A resistor R = 0.400 Ω is connected to the rails at points a and b, directly opposite each other. The wheels make good electrical contact with the rails, so the axle, rails, and R form a closed-loop circuit. The only significant resistance in the circuit is R. A uniform magnetic field B = 0.080 0 T is vertically downward. (a) Find the induced current I in the resistor. (b) What horizontal force F is required to keep the axle rolling at constant speed? (c) Which end of the resistor, a or b, is at the higher electric potential? (d) What If? After the axle rolls past the resistor, does the current in R reverse direction? Explain your answer.
Figure P30.38
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Chapter 30 Solutions
Physics for Scientists and Engineers
Ch. 30.1 - A circular loop of wire is held in a uniform...Ch. 30.2 - In Figure 30.8a, a given applied force of...Ch. 30.3 - Figure 30.12 Figure 30.12 shows a circular loop of...Ch. 30.5 - Prob. 30.4QQCh. 30 - A circular loop of wire of radius 12.0 cm is...Ch. 30 - An instrument based on induced emf has been used...Ch. 30 - Scientific work is currently under way to...Ch. 30 - A long solenoid has n = 400 turns per meter and...Ch. 30 - An aluminum ring of radius r1 = 5.00 cm and...Ch. 30 - An aluminum ring of radius r1 and resistance R is...
Ch. 30 - A coil formed by wrapping 50 turns of wire in the...Ch. 30 - When a wire carries an AC current with a known...Ch. 30 - A toroid having a rectangular cross section (a =...Ch. 30 - A small airplane with a wingspan of 14.0 m is...Ch. 30 - A helicopter (Fig. P30.11) has blades of length...Ch. 30 - A 2.00-m length of wire is held in an eastwest...Ch. 30 - A metal rod of mass m slides without friction...Ch. 30 - Prob. 14PCh. 30 - Prob. 15PCh. 30 - An astronaut is connected to her spacecraft by a...Ch. 30 - You are working for a company that manufactures...Ch. 30 - You are working in a laboratory that uses motional...Ch. 30 - You are working in a factory that produces long...Ch. 30 - You are working in a factory that produces long...Ch. 30 - Within the green dashed circle show in Figure...Ch. 30 - Prob. 22PCh. 30 - Prob. 23PCh. 30 - Figure P30.24 (page 820) is a graph of the induced...Ch. 30 - The rotating loop in an AC generator is a square...Ch. 30 - In Figure P30.26, a semicircular conductor of...Ch. 30 - Prob. 27PCh. 30 - Suppose you wrap wire onto the core from a roll of...Ch. 30 - A rectangular loop of area A = 0.160 m2 is placed...Ch. 30 - A rectangular loop of area A is placed in a region...Ch. 30 - A circular coil enclosing an area of 100 cm2 is...Ch. 30 - Consider the apparatus shown in Figure P30.32: a...Ch. 30 - A guitars steel string vibrates (see Fig. 30.5)....Ch. 30 - Why is the following situation impossible? A...Ch. 30 - A conducting rod of length = 35.0 cm is free to...Ch. 30 - Magnetic field values are often determined by...Ch. 30 - The plane of a square loop of wire with edge...Ch. 30 - In Figure P30.38, the rolling axle, 1.50 m long,...Ch. 30 - Figure P30.39 shows a stationary conductor whose...Ch. 30 - Prob. 40APCh. 30 - Figure P30.41 shows a compact, circular coil with...Ch. 30 - Review. In Figure P30.42, a uniform magnetic field...Ch. 30 - An N-turn square coil with side and resistance R...Ch. 30 - A conducting rod of length moves with velocity v...Ch. 30 - A long, straight wire carries a current given by I...Ch. 30 - A rectangular loop of dimensions and w moves with...Ch. 30 - A thin wire = 30.0 cm long is held parallel to...Ch. 30 - An induction furnace uses electromagnetic...Ch. 30 - Prob. 49CPCh. 30 - A betatron is a device that accelerates electrons...Ch. 30 - Review. The bar of mass m in Figure P30.51 is...
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- In Figure P20.65 the rolling axle of length 1.50 m is pushed along horizontal rails at a constant speed v = 3.00 m/s. A resist or R = 0.400 is connected to the rails at points a and b, directly opposite each other. (The wheels make good electrical contact with the rails, so the axle, rails, and R form a closed-loop circuit. The only significant resistance in the circuit is R.) A uniform magnetic field B = 0.800 T is directed vertically downward. (a) Find the induced current I in the resistor. (b) What horizontal force F is required to keep the axle rolling at constant speed? (c) Which end of the resistor, a or b. is at the higher electric potential? (d) Alter the axle rolls past the resistor, does the current in R reverse direction? Explain your answer. Figure P20.65arrow_forwardConsider the apparatus shown in Figure P30.32: a conducting bar is moved along two rails connected to an incandescent lightbulb. The whole system is immersed in a magnetic field of magnitude B = 0.400 T perpendicular and into the page. The distance between the horizontal rails is = 0.800 m. The resistance of the lightbulb is R = 48.0 , assumed to be constant. The bar and rails have negligible resistance. The bar is moved toward the right by a constant force of magnitude F = 0.600 N. We wish to find the maximum power delivered to the lightbulb. (a) Find an expression for the current in the lightbulb as a function of B, , R, and v, the speed of the bar. (b) When the maximum power is delivered to the lightbulb, what analysis model properly describes the moving bar? (c) Use the analysis model in part (b) to find a numerical value for the speed v of the bar when the maximum power is being delivered to the lightbulb. (d) Find the current in the lightbulb when maximum power is being delivered to it. (e) Using P = I2R, what is the maximum power delivered to the lightbulb? (f) What is the maximum mechanical input power delivered to the bar by the force F? (g) We have assumed the resistance of the lightbulb is constant. In reality, as the power delivered to the lightbulb increases, the filament temperature increases and the resistance increases. Does the speed found in part (c) change if the resistance increases and all other quantities are held constant? (h) If so, does the speed found in part (c) increase or decrease? If not, explain. (i) With the assumption that the resistance of the lightbulb increases as the current increases, does the power found in part (f) change? (j) If so, is the power found in part (f) larger or smaller? If not, explain. Figure P30.32arrow_forwardWhy is the following situation impossible? A conducting rectangular loop of mass M = 0.100 kg, resistance R = 1.00 , and dimensions w = 50.0 cm by = 90.0 cm is held with its lower edge just above a region with a uniform magnetic field of magnitude B = 1.00 T as shown in Figure P30.34. The loop is released from rest. Just as the top edge of the loop reaches the region containing the field, the loop moves with a speed 4.00 m/s. Figure P30.34arrow_forward
- A conducting rod of length = 35.0 cm is free to slide on two parallel conducting bars as shown in Figure P30.35. Two resistors R1 = 2.00 and R2 = 5.00 are connected across the ends of the bars to form a loop. A constant magnetic field B = 2.50 T is directed perpendicularly into the page. An external agent pulls the rod to the left with a constant speed of v = 8.00 m/s. Find (a) the currents in both resistors, (b) the total power delivered to the resistance of the circuit, and (c) the magnitude of the applied force that is needed to move the rod with this constant velocity. Figure P30.35arrow_forwardFigure P30.39 shows a stationary conductor whose shape is similar to the letter e. The radius of its circular portion is a = 50.0 cm. It is placed in a constant magnetic field of 0.500 T directed out of the page. A straight conducting rod, 50.0 cm long, is pivoted about point O and rotates with a constant angular speed of 2.00 rad/s. (a) Determine the induced emf in the loop POQ. Note that the area of the loop is a2/2. (b) If all the conducting material has a resistance per length of 5.00 /m, what is the induced current in the loop POQ at the instant 0.250 s after point P passes point Q? Figure P30.39arrow_forwardA coil with a self-inductance of 3.0 H and a resistance of 100 2 carries a steady current of 2.0 A. (a) What is the energy stored in the magnetic field of the coil? (b) What is the energy per second dissipated in the resistance of the coil?arrow_forward
- A stiff spring with a spring constant of 1200.0 N/m is connected to a bar on a slide generator as shown in Figure P32.40. Assume the bar has length l = 60.0 cm and mass m = 0.75 kg, and it slides without friction. The bar connects to a U-shaped wire to form a loop that has width w = 40.0 cm and total resistance 25 and that sits in a uniform magnetic field B = 0.35 T. The bar is initially pulled 5.0 cm to the left and released so that it begins to oscillate. What is the induced current in the loop as a function of time, I(t)? (Ignore any effects due to the magnetic force on the oscillating bar.)arrow_forwardReview. Figure P31.31 shows a bar of mass m = 0.200 kg that can slide without friction on a pair of rails separated by a distance = 1.20 m and located on an inclined plane that makes an angle = 25.0 with respect to the ground. The resistance of the resistor is R = 1.00 and a uniform magnetic field of magnitude B = 0.500 T is directed downward, perpendicular to the ground, over the entire region through which the bar moves. With what constant speed v does the bar slide along the rails?arrow_forwardmetal rod is forced to move with constant velocity along two parallel metal rails, connected with a strip of metal at one end across a magnetic field (B) of 0.5 T, pointing out of the page. The rod is of length 45 cm and the speed of the rod is 70 cm/s. The rod has a resistance of 10 Ω and the resistance of the rails and connector is negligible. What is the rate at which energy is being transferred to thermal energy? a) 0.225 W b) 22.55 W c) 2.25 × 10-4 W d) 2.25 × 10-3 Warrow_forward
- A current runs in a long solenoid of a radius 3 cm and 437 turns per meter. The current in the solenoid is increased at a rate of 2 A/s. A single circular loop of wire of radius 5 cm and resistance 2 Ω surrounds the solenoid. Find the electrical current induced in the single loop. Give your answer in units of microamperes.arrow_forwardYou've decided to make a magnetic projectile launcher for your science project. An aluminum bar of length l = 5.19 cm slides along metal rails through a magnetic field B = 0.664 T. The switch closes at t = 0 s , while the bar is at rest, and a battery of emf = 16.50 V starts a current flowing around the loop. The battery had internal resistance, r = 0.139 Ω. The resistance of rails and the bar are effectively zero. What is the terminal speed (in m/s) of the bar?arrow_forwardQ#04. The long solenoid S has 440 turns/cm and carries a current i = 1.5 mA; its diameter D is 7.2 cm. At its center we place a 150-turn closely packed coil C of diameter d= 4.1 mm. The current in the solenoid is reduced to zero at a steady rate in 25 µs. What is the magnitude of the emf that is induced in coil C while the current in the solenoid is changing?arrow_forward
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