Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
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Chapter 31, Problem 19PQ
To determine
The current in the loop
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A conducting rod of length ℓ moves on two horizontal, frictionless rails as shown inFigure P31.26. If a constant force of 1.00 N moves the bar at 2.00 m/s through amagnetic field B that is directed into the page (a) what is the current through the 8.00-Ω resistor R? (b) What is the rate at which energy is delivered to the resistor? (c) Whatis the mechanical power delivered by the force Fapp?
A conducting rectangular loop ofmass M, resistance R , and dimensions w by l falls from rest into a magneticfield B→, as shown in Figure P20.67. Duringthe time interval before the topedge of the loop reaches the field, theloop approaches a terminal speed v T.(a) Show that
vT = MgR/B2w2
(b) Why is vT proportional to R ?(c) Why is it inversely proportional to B2?
I.) A 1 m long conductor is moved in a field of density of 1 Wb/m^2 at velocity of 30 m/s. What is the emf induced if the motion is perpendicular to the field?
a. 20 V b. 30 V c. 15 V d. 25 V
Chapter 31 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 31.1 - CASE STUDY Measuring the Magnetic Field Near a Bar...Ch. 31.2 - Prob. 31.2CECh. 31.3 - Prob. 31.3CECh. 31.4 - Magnetic Field Due to a Long, Straight Wire In a...Ch. 31.5 - Prob. 31.5CECh. 31 - Review Suppose you want to use a small, positively...Ch. 31 - Prob. 3PQCh. 31 - Prob. 5PQCh. 31 - Plot the deflection angle of the compass needle in...Ch. 31 - Prob. 7PQ
Ch. 31 - Prob. 8PQCh. 31 - Prob. 9PQCh. 31 - What is the Earths magnetic flux through a. a...Ch. 31 - Prob. 11PQCh. 31 - Prob. 12PQCh. 31 - Figure P31.13 shows a uniform magnetic field. a....Ch. 31 - Prob. 14PQCh. 31 - Figure P31.13 shows a uniform magnetic field. a....Ch. 31 - Prob. 16PQCh. 31 - Prob. 17PQCh. 31 - Prob. 18PQCh. 31 - Prob. 19PQCh. 31 - Prob. 20PQCh. 31 - Prob. 21PQCh. 31 - Prob. 22PQCh. 31 - A steady current I flows through a wire of radius...Ch. 31 - Prob. 24PQCh. 31 - A magnetic field of 4.00 T is measured at a...Ch. 31 - Prob. 27PQCh. 31 - Sketch a plot of the magnitude of the magnetic...Ch. 31 - Prob. 29PQCh. 31 - Prob. 31PQCh. 31 - Prob. 32PQCh. 31 - Prob. 33PQCh. 31 - Prob. 34PQCh. 31 - Prob. 35PQCh. 31 - Prob. 36PQCh. 31 - Prob. 37PQCh. 31 - Prob. 38PQCh. 31 - Prob. 39PQCh. 31 - Prob. 40PQCh. 31 - Prob. 41PQCh. 31 - Prob. 42PQCh. 31 - Prob. 43PQCh. 31 - Prob. 44PQCh. 31 - Prob. 45PQCh. 31 - Prob. 46PQCh. 31 - Prob. 47PQCh. 31 - Prob. 48PQCh. 31 - Prob. 49PQCh. 31 - Prob. 50PQCh. 31 - Prob. 51PQCh. 31 - Prob. 52PQCh. 31 - Prob. 53PQCh. 31 - Prob. 54PQCh. 31 - Prob. 55PQCh. 31 - Prob. 58PQCh. 31 - A uniform magnetic field B=5.44104iT passes...Ch. 31 - Prob. 60PQCh. 31 - A solenoid 1.25 m long with a current of 5.00 A in...Ch. 31 - Prob. 63PQCh. 31 - Prob. 64PQCh. 31 - Prob. 65PQCh. 31 - Prob. 66PQCh. 31 - Prob. 67PQCh. 31 - Prob. 68PQCh. 31 - Prob. 69PQCh. 31 - Prob. 70PQCh. 31 - Prob. 71PQCh. 31 - Prob. 72PQCh. 31 - Prob. 74PQCh. 31 - Prob. 75PQ
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- A conducting rod of length moves with velocity v parallel to a long wire carrying a steady current I. The axis of the rod is maintained perpendicular to the wire with the near end a distance r away (Fig. P30.44). Show that the magnitude of the emf induced in the rod is E=0Iv2ln(1+lr) Figure P30.44arrow_forwardWhat is the EMF induced when the magnetic field changes from 2.3 T to 0.5 T in 10 seconds with a 2 m by 4 m rectangular conductor positioned perpendicular to the field?arrow_forwardHere you see a single loop of stiff wire, 10.0 cm on a side, immersed in a magnetic field of 0.225 T. Suppose that you remove the loop from the field in just 0.00208 sec. What emf or voltage will be induced in the loop? Express your answer to three significant figures and in normal notation.arrow_forward
- A circular loop of wire of resistance R = 0.500 V and radius r = 8.00 cm is in a uniform magnetic field directed out of the page as in Figure P20.54. If a clockwise current of I = 2.50 mA is induced in the loop, (a) is the magnetic field increasing or decreasing in time? (b) Find the rate at which the field is changing with time.arrow_forwardA single loop of wire with an area of 0.0900 m2 is in a uniform magnetic field that has an initial value of 3.80 T, is perpendicular to the plane of the loop, and is decreasing at a constant rate of 0.190 T/s. (a) What emf is induced in this loop? (b) If the loop has a resistance of 0.600 Ω, find the current induced in the loop.arrow_forward21. A 50 cm long conductor is moved in a field of density 1 Wb/m^2 at a velocity of 30 m/s. What is the emf induced if the motion is perpendicular to the field?arrow_forward
- A very long solenoid with radius R and n tightly wound turns of wire per unit length has a current flowing through it that decreases with time according to i = I0e^(−αt). What is the magnitude of the induced electric field at a point a distance s from the solenoid when (a) s < R? (b) s > R? (c) What is the direction of the electric field?arrow_forwardA bar is moved along conducting rails at a constant 2.0 m/s in the presence of a 1-tesla magnetic field into the page, as shown. A 4-ohm resistor is connected into the circuit. a) What current flows in the loop? b) What force is required to maintain the constant 2 mis velocity? c) How much work must be done by this force in 1 second? d) Calculate the power dissipated by the resistor and compare the energy dissipated by the resistor with the work done in this same time.arrow_forwardA square wire with 2 m sides is perpendicular to a uniform magnetic field, with half the area of the loop in the field as shown in the figure. The loop contains a 20 V battery with negligible resistance. If the magnitude of the field varies with time according to B = 1.0410 - 0.8400 t with B in teslas and t in seconds, what is the total emf in the circuit?arrow_forward
- Two circular loops of wire surround an insulating rod as inFigure P20.53. Loop 1 carries a current I in the clockwise directionwhen viewed from the left end. If loop 1 moves towardloop 2, which remains stationary, what is the direction of theinduced current in loop 2 when viewed from the left end?arrow_forwardAn astronaut is connected to her spacecraft by a 25-m-long tether cord as she and the spacecraft orbit Earth in a circular path at a speed of 3.0 × 103 m/s. At one instant, the voltage measured between the ends of a wire embedded in the cord is measured to be 0.45 V. Assume the long dimension of the cord is perpendicular to the vertical component of Earth’s magnetic field at that instant. (a) What is the magnitude of the vertical component of Earth’s field at this location? (b) Does the measured voltage change as the system moves from one location to another? Explain.arrow_forwardA circular loop of wire lies below a long wire carrying a currentthat is increasing as in Figure P20.17a. (a) What is the directionof the induced current in the loop, if any? (b) Now supposethe loop is next to the same wire as in Figure P20.17b.What is the direction of the induced current in the loop, ifany? Explain your answers.arrow_forward
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