1 Temperature And Heat 2 The Kinetic Theory Of Gases 3 The First Law Of Thermodynamics 4 The Second Law Of Thermodynamics 5 Electric Charges And Fields 6 Gauss's Law 7 Electric Potential 8 Capacitance 9 Current And Resistance 10 Direct-current Circuits 11 Magnetic Forces And Fields 12 Sources Of Magnetic Fields 13 Electromagnetic Induction 14 Inductance 15 Alternating-current Circuits 16 Electromagnetic Waves Chapter11: Magnetic Forces And Fields
Chapter Questions Section: Chapter Questions
Problem 11.1CYU: Check Your Understanding Repeat the previous problem with the magnetic field in the x-direction... Problem 11.2CYU: Check Your Understanding A uniform magnetic field of magnitude 1.5 T is directed horizontally from... Problem 11.3CYU: Check Your Understanding A straight, flexible length of copper wire is immersed in a magnetic field... Problem 11.4CYU: Check Your Understanding In what orientation would a magnetic dipole have to be to produce (a) a... Problem 11.5CYU: Check Your Understanding A Hall people consists of a copper strip, n=8.51028 electrons per cubic... Problem 11.6CYU: Check Your Understanding A cyclotron is to be designed to accelerate protons to kinetic energies of... Problem 1CQ: Discuss the similarities and differences between the electrical force on a charge and the magnetic... Problem 2CQ: (a) Is it possible for the magnetic force on a charge moving in a magnetic field to be zero? (b) Is... Problem 3CQ: At a given instant, an electron and a proton are moving with the same velocity in a constant... Problem 4CQ: Does increasing the magnitude of a uniform magnetic field through which a charge is traveling... Problem 5CQ: An electron passes through a magnetic field without being deflected. What do you conclude about the... Problem 6CQ: If a charged particle moves in a straight line, can you conclude that there is no magnetic field... Problem 7CQ: How could you determine which pole of an electromagnet is north and which pole is south? Problem 8CQ: Describe the error that results from accidently using your left rather than your right hand when... Problem 9CQ: Considering the magnetic force law, are the velocity and magnetic field always perpendicular? Are... Problem 10CQ: Why can a nearby magnet distort a cathode ray tube television picture? Problem 11CQ: A magnetic field exerts a force on the moving electrons in a current carrying wire. What exerts the... Problem 12CQ: There are regions where the magnetic field of earth is almost perpendicular to the surface of Earth.... Problem 13CQ: Hall potentials are much larger for poor conductors than for good conductors. Why? Problem 14CQ: Describe the primary function of the electric field and the magnetic field in a cyclotron. Problem 15P: What is the direction of the magnetic force on a positive charge that moves as shown in each of the... Problem 16P: Repeat previous exercise for a negative charge. Problem 17P: What is the direction of the velocity of a negative charge that experiences the magnetic force shown... Problem 18P: Repeat previous exercise for a positive charge. Problem 19P: What is the direction of the magnetic field that produces the magnetic force on a positive charge as... Problem 20P: Repeat previous exercise for a negative charge. Problem 21P: (a) Aircraft sometimes acquire small static charges, Suppose a supersonic jet has a 0.500C charge... Problem 22P: (a) A cosmic ray proton moving toward Earth at 5.00107 m/s experiences a magnetic force of 1.70l0l6... Problem 23P: An electron moving at 4.00103 m/s in a 1.25-T magnetic field experiences a magnetic force of... Problem 24P: (a) A physicist performing a sensitive measurement wants to limit the magnetic force on a moving... Problem 25P: A cosmic-ray electron moves at 7.5 × 106 m/sinches perpendicular to Earth’s magnetic field at an... Problem 26P: (a) Viewers of Star Trek have heard of an antimatter drive on the Starship Enterprise. One... Problem 27P: (a) An oxygen-16 ion with a mass of 2.661026 kg travels at 5.0106 m/s perpendicular to a 1.20-T... Problem 28P: An electron in a TV CRT moves with a speed of 6.0107 m/s, in a direction perpendicular to Earth's... Problem 29P: (a) At what speed will a proton move in a circular path of the same radius as the electron in the... Problem 30P: (a) What voltage will accelerate electrons to a speed of 6.00107 m/s? (b) Find the radius of... Problem 31P: An alpha-particle ( m=6.641027kg , q=3.21019C ) travels in a circular path of radius 25 cm in a... Problem 32P: A particle of charge q and mass m is accelerated from rest through a potential difference V, after... Problem 33P: What is the direction of the magnetic force on the current in each of the six cases? Problem 34P: What is the direction of a current that experiences the magnetic force shown in each of the three... Problem 35P: What is the direction of the magnetic field that produces the magnetic force shown on the currents... Problem 36P: (a) What is the force per meter on a lightning bolt at the equator that carries 20,000 A... Problem 37P: (a) A dc power line for a light-rail system caries 1000 A at an angle of 30.0 to Earth's 5.0105 T... Problem 38P: A wire carrying a 30.0-A current passes between the poles of a strong magnet that is perpendicular... Problem 39P: (a) By how many percent is the torque of a motor decreased if its permanent magnets lose 5.0% of... Problem 40P: (a) What is the maximum torque on a 150-tum square loop of wire 13.0 cm oil a side that carries a... Problem 41P: Find the current through a loop needed to create a maximum torque of 9.0 N.m. The loop has 50 square... Problem 42P: Calculate the magnetic field strength needed on a 200-tum square loop 20.0 cm on a side to create a... Problem 43P: Since the equation for torque on a current-carrying loop is =NIABsin, the units of N .m must equal... Problem 44P: , (a) At what angle 0 is tlie torque on a current loop 90.0% of maximum? (b) 50.0% of maximum? (c)... Problem 45P: A proton has a magnetic field due to its spin. The field is similar to that created by a circular... Problem 46P: (a) A 200-turn circular loop of radius SO.0 cm is vertical, with its axis on an east-west line. A... Problem 47P: Repeat the previous problem, but with the loop lying flat on the ground with its current circulating... Problem 48P: A strip of copper is placed in a uniform magnetic field of magnitude 2.5 T. The Hall electric field... Problem 49P: The cross-sectional dimensions of the copper strip shown are 2.0 cm by 2.0 mm. The strip carries a... Problem 50P: The magnitudes of the electric and magnetic fields in a velocity selector are 1.8105V/m and 0.080 T,... Problem 51P: A charged particle moves through a velocity selector at constant velocity. In tire selector,... Problem 52P: A Hall probe gives a reading of 1.5V for a current of 2 A when it is placed in a magnetic field of 1... Problem 53P: A physicist is designing a cyclotron to accelerate protons to one-tenth the speed of light. The... Problem 54P: The strengths of the fields in the velocity selector of a Bainbridge mass spectrometer are B = 0.500... Problem 55P: The magnetic field in a cyclotron is 1.25 T, and the maximum orbital radius of the circulating... Problem 56P: A mass spectrometer is being used to separate common oxygen- 16 from the much rarer oxygen-18, taken... Problem 57P: (a) Triply charged uranium-235 and uranium-238 ions are being separated in a mass spectrometer. (The... Problem 58AP: Calculate the magnetic force on a hypothetical particle of charge 1.010l9C moving with a velocity of... Problem 59AP: Repeat the previous problem with a new magnetic field of (0.4i+1.2k)T . Problem 60AP: An electron is projected into a uniform magnetic field (0.5i+0.8k)T with a velocity of... Problem 61AP: The mass and chaise of a water droplet are 1.0104g and 2.0108C , respectively. If the droplet is... Problem 62AP: Four different proton velocities are given. For each case, determine the magnetic force on the... Problem 63AP: An electron of kinetic energy 2000 eV passes between parallel plates that are 1.0 an apart and kept... Problem 64AP: An alpha-particle (m=6.641027kg,q=3.21019C) moving with a velocity v=(2.0i4.0k)106m/s enters a... Problem 65AP: An electron moving with a velocity v=(4.0i+3.0j+2.0k)106m/s enters a region where there is a uniform... Problem 66AP: At a particular instant an electron is traveling west to east with a kinetic energy of 10 keV.... Problem 67AP: Repeat the calculations of the previous problem for a proton with the same kinetic energy. Problem 68AP: What magnetic field is required in order to confine a proton moving with a speed of 4.0 × 106 m/s to... Problem 69AP: An electron and a proton move with the same speed in a plane perpendicular to a uniform magnetic... Problem 70AP: A proton and an alpha-particle have the same kinetic energy and both move in a plane perpendicular... Problem 71AP: A singly charged ion takes 2.0 × 10-3 s to complete eaglet revolutions in a uniform magnetic field... Problem 72AP: A particle moving downward at a speed of 6.0106 m/s enters a uniform magnetic field that is... Problem 73AP: , A proton, deuteron, and an alpha-particle ae all accelerated from rest through the same potential... Problem 74AP: A singly charged ion is moving in a uniform magnetic field of 7.5102 T completes 10 revolutions in... Problem 75AP: Two particles have the same linear momentum, but particle A has four times the charge of particle B.... Problem 76AP: A uniform magnetic field of magnitude is directed parallel to the z-axis. A proton enters the field... Problem 77AP: An electron moving along the +x -axis at 5.0106m/s enters a magnetic field that makes a 75° angle... Problem 78AP: (a) A 0.750-m-long section of cable carrying current to a car starter motor makes an angle of GOP... Problem 79AP: (a)What is the angle between a wire carrying an 8.00-A current and the 1.20-T field It Is in if 50.0... Problem 80AP: A 1.0-rn-long segment of wire lies along the x-axis and carries a current of 2.0 A in the positive... Problem 81AP: A 5.0-m section of a long, straight wire carries a current of 10 A while in a uniform magnetic field... Problem 82AP: An electromagnet produces a magnetic field of magnitude 1.5 T throughout a cylindrical region of... Problem 83AP: The current loop shown in the accompanying figure lies in the plane of the page, as does the... Problem 84AP: A circular coil of radius 5.0 cm is wound with five turns and carries a current of 5.0 A. If the... Problem 85AP: Acircularcoiofwireofradius5.Ocmhas2Otums and carries a current of 2.0 A. The coil lies in a magnetic... Problem 86AP: A current-carrying coil in a magnetic field experiences a torque that is 75% of the maximum possible... Problem 87AP: A 40-cm by 6.0-cm rectangular current loop carries a current of 10 A. What Is the magnetic dipole... Problem 88AP: A circular coil with 200 turns Las a radius of 2.0 cm. (a) What current through tire coil results in... Problem 89AP: The current through a circular wire loop of radius 10 cm is 5.0 A. (a) Calculate themagnetic dipole... Problem 90AP: A wire of length 1.0 m is wound into a single-turn planar loop. The loop carries a current of 5.0 A,... Problem 91AP: Consider an electron rotating in a circular orbit of radius r. Show that the magnitudes of the... Problem 92AP: The Hall effect is to be used to find the sign of charge carries in a semiconductor sample. The... Problem 93AP: The density of charge carriers far copper is 8.471028 electrons per cubic meter. What will be the... Problem 94AP: The Hall effect is to be used to find the density of charge carriers in an unknown material. A Hall... Problem 95AP: Show tliat the Hall voltage across wires made of the same material, carrying identical currents, and... Problem 96AP: A velocity selector in a mass spectrometer uses a 0.100-T magnetic field, (a) What electric field... Problem 97AP: Find the radius of curvature of the path of a 25.0-MeV proton moving peipendicularly to the 1,20-T... Problem 98AP: Unreasonable results To construct a non-mechanical water meter, a 0.500-T magnetic field is placed... Problem 99AP: Unreasonable results A charged particle having mass 6.641027kg (that of a helium atom) moving at... Problem 100AP: Unreasonable results An inventor wants to generate 120-V power by moving a 1.00-m-long wire... Problem 101AP: Unreasonable results Frustrated by the small Hall voltage obtained in blood flow measurements, a... Problem 102CP: A particle of charge +q and mass m moves with velocity v0 pointed In the +y-direction as It crosses... Problem 103CP: A proton of speed v=6105m/s enters a region of uniform magnetic field of B = 0.5 T at an angle of q... Problem 104CP: A particle’s path is bent when it passes through a region of non-zero magnetic field although its... Problem 105CP: In a region a non-uniform magnetic field exists such that Bx=0,By=0,andBz=ax where a is a Constant.... Problem 106CP: A copper rod of mass in and length L is hung from the ceiling using two springs of spring constant... Problem 107CP: The accompanied figure shows an arrangement for measuring mass of ions by an instrument called the... Problem 108CP: A wire ismade into a circular shape of radius R and pivoted along a central support.The two ends of... Problem 109CP: A long-rigid wire lies along the x-axis and cairns a current of 2.5 A in the positive x-direction.... Problem 110CP: A circular loop of wire of area 10 cm2 carries a current of 25 A. At a particular instant, the loop... Problem 101AP: Unreasonable results Frustrated by the small Hall voltage obtained in blood flow measurements, a...
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An iron (density ρ) rod with length L, cross sectional area A, spans across two parallel, metal train tracks. The tracks are connected to a power supply and have a potential ∆V across them. Between the tracks are placed magnets such that the B-field points directly upwards with strength B. What is the acceleration of the iron rod be the moment it starts from rest? What will acceleration be as a function of speed as it continues? Assume the contact is frictionless between the tracks and the rod so that no force of friction needs to be overcome. What will the top speed of the rod be under these conditions?
Definition Definition Force that opposes motion when the surface of one item rubs against the surface of another. The unit of force of friction is same as the unit of force.
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Step 2: Calculation of the mass and the resistance of the copper rod
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VIEW Step 4: Calculation of the acceleration as a function of speed.
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