College Physics:
11th Edition
ISBN: 9781305965515
Author: SERWAY, Raymond A.
Publisher: Brooks/Cole Pub Co
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Chapter 20, Problem 29P
To determine
The constant speed v in which the bar slides along the rails.
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Figure P20.29 shows a bar of mass m = 0.200 kg that can slide without friction on a pair of rails separated by a distance ℓ = 1.20 m and located on an inclined plane that makes an angle 0 = 25.0° with respect to the ground. The resistance of the resistor is R = 1.00 Ω, 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?
A conducting rod of length ℓ = 35.0 cm is free to slide on two parallel conducting bars as shown in the figure below. Two resistors R1 = 2.00 Ω and R2 = 5.00 Ω are connected across the ends of the bars to form a loop. A constant magnetic field B = 2.90 T is directed perpendicularly into the page. An external agent pulls the rod to the left with a constant speed of v = 7.80 m/s. Find the following.
a) the currents in both resistors
b) the total power delivered to the resistance of the circuit
c) the magnitude of the applied force that is needed to move the rod with this constant velocity
Figure P20.29 shows a bar of mass m = 0.200 kg that can slidewithout friction on a pair of rails separated by a distance ,l =1.20 m and located on an inclined plane that makes an angleΘ = 25.0° with respect to the ground. The resistance of theresistor is R = 1.00 Ω, and a uniform magnetic field of magnitudeB = 0.500 T is directed downward, perpendicular to theground, over the entire region through which the bar moves.With what constant speed v does the bar slide along the rails?
Chapter 20 Solutions
College Physics:
Ch. 20.2 - Prob. 20.1QQCh. 20.2 - A bar magnet is falling toward the center of a...Ch. 20.2 - Two circular loops are side by side and lie in the...Ch. 20.3 - A horizontal metal bar oriented east-west drops...Ch. 20.3 - You intend to move a rectangular loop of wire into...Ch. 20.6 - Prob. 20.6QQCh. 20 - A bar magnet is held stationary while a circular...Ch. 20 - Does dropping a magnet down a copper tube produce...Ch. 20 - Figure CQ20.3 shows three views of a circular loop...Ch. 20 - A loop of wire is placed in a uniform magnetic...
Ch. 20 - As the conducting bar in Figure CQ20.5 moves to...Ch. 20 - How is electrical energy produced in dams? (That...Ch. 20 - Figure CQ20.7 shows a slidewire generator with...Ch. 20 - As the bar in Figure CQ20.5 moves perpendicular to...Ch. 20 - Eddy current are induced currents set up in a...Ch. 20 - The switch S in Figure 20.27 is closed at t = 0...Ch. 20 - A piece of aluminum is dropped vertically downward...Ch. 20 - When the switch in Figure CQ20.12a is closed, a...Ch. 20 - Prob. 13CQCh. 20 - A magneto is used to cause the spark in a spark...Ch. 20 - A uniform magnetic field of magnitude 0.50 T is...Ch. 20 - Find the flux of Earths magnetic field of...Ch. 20 - Prob. 3PCh. 20 - A long, straight wire carrying a current of 2.00 A...Ch. 20 - Prob. 5PCh. 20 - A magnetic field of magnitude 0.300 T is oriented...Ch. 20 - A cube of edge length = 2.5 cm is positioned as...Ch. 20 - Transcranial magnetic stimulation (TMS) is a...Ch. 20 - Three loops of wire move near a long straight wire...Ch. 20 - The flexible loop in Figure P20.10 has a radius of...Ch. 20 - Inductive charging is used to wirelessly charge...Ch. 20 - Medical devices implanted inside the body are...Ch. 20 - A technician wearing a circular metal band on his...Ch. 20 - In Figure P20.14, what is the direction of the...Ch. 20 - Prob. 15PCh. 20 - Find the direction of the current in the resistor...Ch. 20 - A circular loop of wire lies below a long wire...Ch. 20 - A square, single-turn wire loop = 1.00 cm on a...Ch. 20 - Prob. 19PCh. 20 - A circular coil enclosing an area of 100 cm2 is...Ch. 20 - To monitor the breathing of a hospital patient, a...Ch. 20 - An N-turn circular wire coil of radius r lies in...Ch. 20 - A truck is carrying a steel beam of length 15.0 m...Ch. 20 - Prob. 24PCh. 20 - Prob. 25PCh. 20 - In one of NASAs space tether experiments, a...Ch. 20 - Prob. 27PCh. 20 - An astronaut is connected to her spacecraft by a...Ch. 20 - Prob. 29PCh. 20 - Prob. 30PCh. 20 - Prob. 31PCh. 20 - Prob. 32PCh. 20 - Considerable scientific work is currently under...Ch. 20 - A flat coil enclosing an area of 0.10 m2 is...Ch. 20 - A generator connected to the wheel or hub of a...Ch. 20 - A motor has coils with a resistance of 30.0 and...Ch. 20 - A coil of 10.0 turns is in the shape of an eclipse...Ch. 20 - Prob. 38PCh. 20 - Prob. 39PCh. 20 - Prob. 40PCh. 20 - Prob. 41PCh. 20 - An emf of 24.0 mV is induced in a 500-turn coil...Ch. 20 - Prob. 43PCh. 20 - Prob. 44PCh. 20 - Prob. 45PCh. 20 - Prob. 46PCh. 20 - Prob. 47PCh. 20 - Prob. 48PCh. 20 - Prob. 49PCh. 20 - Prob. 50PCh. 20 - Prob. 51PCh. 20 - Prob. 52PCh. 20 - Additional Problems Two circular loop of wire...Ch. 20 - Prob. 54APCh. 20 - Prob. 55APCh. 20 - Prob. 56APCh. 20 - An 820-turn wire coil of resistance 24.0 is...Ch. 20 - A spacecraft is in 4 circular orbit of radius...Ch. 20 - Prob. 59APCh. 20 - Prob. 60APCh. 20 - Prob. 61APCh. 20 - Prob. 62APCh. 20 - The magnetic field shown in Figure P20.63 has a...Ch. 20 - Prob. 64APCh. 20 - In Figure P20.65 the rolling axle of length 1.50 m...Ch. 20 - An N-turn square coil with side and resistance R...Ch. 20 - A conducting rectangular loop of mass M,...
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- Why 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_forwardA piece of insulated wire is shaped into a figure eight as shown in Figure P23.12. For simplicity, model the two halves of the figure eight as circles. The radius of the upper circle is 5.00 cm and that of the lower circle is 9.00 cm. The wire has a uniform resistance per unit length of 3.00 Ω/m. A uniform magnetic field is applied perpendicular to the plane of the two circles, in the direction shown. The magnetic field is increasing at a constant rate of 2.00 T/s. Find (a) the magnitude and (b) the direction of the induced current in the wire. Figure P23.12arrow_forwardMass m = 1.00 kg is suspended vertically at rest by an insulating string connected to a circuit partially immersed in a magnetic field as in Figure P19.30. The magnetic field has magnitude Bin = 2.00 T and the length = 0.500 m. (a) Find the current I. (b) If = 115 V, find the required resistance R. Figure P19.30arrow_forward
- Design a current loop that, when rotated in a uniform magnetic field of strength 0.10 T, will produce an emf =0 sin t. where 0=110V and 0=110V .arrow_forwardA rectangular coil consists of N = 100 closely wrapped turns and has dimensions a = 0.400 m and b = 0.300 m. The coil is hinged along the y axis, and its plane makes an angle = 30.0 with the x axis (Fig. P22.25). (a) What is the magnitude of the torque exerted on the coil by a uniform magnetic field B = 0.800 T directed in the positive x direction when the current is I = 1.20 A in the direction shown? (b) What is the expected direction of rotation of the coil? Figure P22.25arrow_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_forward
- A square loop whose sides are 6.0-cm long is made with copper wire of radius 1.0 mm. If a magnetic field perpendicular to the loop is changing at a rate of 5.0 mT/s, what is the current in the loop?arrow_forwardA circuit consists of a conducting movable bar and a light bulb connected to two conducting rails as shown in Figure OQ23.16. An external magnetic field is directed perpendicular to the plane of the circuit. Which of the following actions will make the bulb light up? More than one statement may be correct. (a) The bar is moved to the left. (b) The bar is moved to the right. (c) The magnitude of the magnetic field is increased. (d) The magnitude of the magnetic field is decreased. (e) The bar is lifted off the rails.arrow_forwardA proton moving in the plane of the page has a kinetic energy of 6.00 MeV. A magnetic field of magnitude H = 1.00 T is directed into the page. The proton enters the magnetic field with its velocity vector at an angle = 45.0 to the linear boundary of' the field as shown in Figure P29.80. (a) Find x, the distance from the point of entry to where the proton will leave the field. (b) Determine . the angle between the boundary and the protons velocity vector as it leaves the field.arrow_forward
- Consider 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_forwardIn 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 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 P30.38arrow_forwardAn election moves through a uniform electric field E = (2.50i + 5.00j) V/m and a uniform magnetic field B = 0.400k T. Determine the acceleration of the electron when it has a velocity v = 10.0i m/s.arrow_forward
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