Version 001 – HW#5 - Magnetism – arts – (00224) 1 This print-out should have 11 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. proton is 1.60218 × 10−19 C and its mass is 1.67262 × 10−27 kg. Charged Particle in a Field 02 001 10.0 points A charged particle is projected with its initial velocity parallel to a uniform magnetic field. What is the resulting path? 2. straight line parallel to the field. correct Alpha Particle 004 10.0 points An alpha particle has a mass of 6.6 × 10−27 kg and is accelerated by a voltage of 0.997 kV. The charge on a proton is 1.60218×10−19 C. If a uniform magnetic field of 0.069 T is maintained on the alpha particle and perpendicular to its velocity, what will be particle’s radius of curvature? 3. straight line perpendicular to the field. Correct answer: 0.0928785 m. 4. circular arc. Magnetic Force Directions 02 005 10.0 points Two parallel wires carry opposite current as shown. 1. spiral. 5. parabolic arc. Field Direction 002 10.0 points The direction of the magnetic field in a certain region of space is determined by firing a test charge into the region with its velocity in various directions in different trials. The field direction is 1. the direction of the velocity when the magnetic force is a maximum. 2. one of the direction of the velocity when the magnetic field is zero. 3. None of these correct 4. the direction of the magnetic force. 5. perpendicular to the velocity when the magnetic force is zero. Proton in a Magnetic Field 02 003 10.0 points A proton moving at 3.2 × 106 m/s through a magnetic field of 2.5 T experiences a magnetic force of magnitude 9.5 × 10−13 N. What is the angle between the proton’s velocity and the field? The charge on a Correct answer: 47.832◦ . i1 i2 Find the direction of the magnetic force on i2 due to the magnetic field of i1 . 1. to the right and downward 2. to the right and upward 3. to the right correct 4. to the left 5. into the paper 6. to the left and upward 7. out of the paper 8. to the left and downward Parallel Wires 01 Version 001 – HW#5 - Magnetism – arts – (00224) 006 10.0 points Two parallel wires carry equal currents in the opposite directions. Point A is midway between the wires, and B is an equal distance on the other side of the wires. A B 2 Correct answer: 16.9401 mA. Particle Deflection 01 008 10.0 points A positively charged particle moving parallel to the z-axis enters a magnetic field (pointing out of of the page), as shown in the figure below. x ~ B y v What is the ratio of the magnitude of the magnetic field at point A to that at point B? 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. BA BB BA BB BA BB BA BB BA BB BA BB BA BB BA BB BA BB BA BB = 4 3 =0 1 3 10 = 3 = =4 2 = 3 = 3 correct = 1 2 =2 = 5 2 Long Solenoid 007 10.0 points What current is required in the windings of a long solenoid that has 553 turns uniformly distributed over a length of 0.18 m in order to produce inside the solenoid a magnetic field of magnitude 6.54 × 10−5 T? The permeablity of free space is 1.25664 × 10−6 T m/A. z +q ~ B Figure: ı̂ is in the x-direction, ̂ is in the y-direction, and k̂ is in the z-direction. What is the initial direction of deflection? b = −k̂ 1. F ~ = 0 ; no deflection 2. F b = −ı̂ 3. F b = +k̂ 4. F b = +̂ 5. F b = +ı̂ correct 6. F b = −̂ 7. F Particle Deflection 04 009 10.0 points A positively charged particle moving parallel to the x-axis enters a magnetic field (pointing toward the top of the page), as shown. ı̂ is in the x-direction, ̂ is in the y-direction, and k̂ is in the z-direction. Version 001 – HW#5 - Magnetism – arts – (00224) y b = +̂ 3. F ~ B z v 3 x b = +k̂ 4. F b = −̂ 5. F +q b = +ı̂ 6. F ~ B What is the initial direction of deflection? b = +k̂ 1. F b = +̂ 2. F b = +ı̂ 3. F b = −ı̂ 4. F b = −ı̂ 7. F Particle Deflection 08 011 10.0 points A negatively charged particle moving at 45◦ angles to both the y-axis and z-axis enters a magnetic field (pointing towards the righthand side of the page), as shown in the figure. ı̂ is in the x-direction, ̂ is in the y-direction, and k̂ is in the z-direction. z b = −̂ 5. F ~ B x ~ = 0 ; no deflection 6. F b = −k̂ correct 7. F v Particle Deflection 07 010 10.0 points A negatively charged particle moving parallel to the x-axis enters a magnetic field (pointing toward the right-hand side of the page), as shown. ı̂ is in the x-direction, ̂ is in the y-direction, and k̂ is in the z-direction. y ~ B z x v ~ B −q What is the initial direction of deflection? ~ = 0 ; no deflection correct 1. F b = −k̂ 2. F y ~ B −q What is the initial direction of deflection? b = −ı̂ 1. F 1 b √ 2. F = +ı̂ − k̂ 2 b = √1 3. F +̂ − k̂ 2 ~ 4. F = 0 ; no deflection b = √1 (+ı̂ − ̂) 5. F 2 b = +ı̂ correct 6. F b = √1 (−ı̂ + ̂) 7. F 2 1 b = √ (−ı̂ − ̂) 8. F 2 Version 001 – HW#5 - Magnetism – arts – (00224) 1 b 9. F = √ −ı̂ + k̂ 2 b = √1 −̂ + k̂ 10. F 2 4