3. [1pt] Aww A charge q is moving with initial velocity of through a uni- form magnetic field that points out of the page. The figure below shows six possible paths that the charge might take. 1 4 2 5 . OB For each of the following cases, select the path that the charge travels along. If the particle does not move, enter 0. E.g., enter 1230. i) q is negative and Ui is to the left ii) q is positive and v is to the right iii ) q is positive and vi = 0 iv) U; is to the left and q = 0 4. [1pt] * ** A proton, p, is accelerated from rest through a potential difference of 2.84 kV before entering a velocity filter. The E- field between the capacitor plates has a magnitude of 1.91 x 105 N/C, and a uniform magnetic field, B, points out of the page. AV6. [1pt] *'i? Which of the following statements are true? Select all cor rect. If none correct, enter N. A) If an electron and a proton enter a magnetic eld with the same velocity, the magnetic forces on the particles will be in opposite directions. B) Magnetic elds point from North to South. C) A magnetic eld applies no force to a stationary charge. D) If we break a permanent magnet into two pieces, each piece will have both a north and south pole. E) If the velocity of a moving charge is parallel to the magnetic eld, the magnetic force on the charge will be zero. 7. [1pt] *ar Calculate the radius of circular motion for a 1.70 X 1025 kg particle, carrying a charge of 9.80 ,uC and travelling with a speed of 647 m/s through a uniform magnetic eld of magni tude 2.10 uT that is perpendicular to the particle's motion. 8. [1pt] *i Consider a particle travelling at a speed of 260 m/s, entering a uniform magnetic eld of 43.0 mT that is perpendicular to the direction of the particle's motion. Calculate the massto charge ratio for the particle if the radius of circular motion is 3.44 x 108 m. 9. [1pt] *3/33? Calculate the magnitude of magnetic eld required to cause a proton with a speed of 278 m/s to travel along a circular path of radius 1.56 m. What magnitude of Beld is required so that the path of the proton is not deected as it passes between the plates? 5. [lpt] *i Three charged particles are each moving perpendicularly to a magnetic eld B. Fill in the blanks indicating the missing directions for the quantities in the table. +2 (E.g., if your three answers are +2, :1':, y, then enter +zXy .) Use the righthanded coordinate system shown + . . Y 1n the d1agram. l Charge I Velocity | B eld I Force 10. [1pt] *'i' The diagram shows a mass spectrom eter. An ion of mass m and charge q passes through an entry slit with a well dened speed, '00, into a region of uni form magnetic eld B, where the ions follow a semicircular path. The mass spectrometer is used to separate ions, because only those ions with a partic ular masstocharge ratio strike the de tector, positioned above the entry slit. Assume that the distance between the entry slit and the detector is d = 1.78 m and consider an ion carrying a charge of +6, accelerated through a potential difference of 1.45 kV before entering the mass spectrometer. The magnetic eld within the spectrometer has magnitude B = 2.89 mT and the ion strikes the detector. What is the mass of the ion? Force on a Current Carrying Wire and Motors 11. [1th arms Which of the following statements are true? Select all cor rect. If none correct, enter N. A) If a current is parallel to the magnetic eld, the force will be zero. B) The force on a current carrying wire is smallest when the magnetic eld is perpendicular to the current. C) The Area vector is perpendicular to the loop. D) The net force on a current carrying loop in a uniform mag netic eld is zero. E) The net torque on a current carrying loop in a uniform magnetic eld is always zero. 16. [1pt] * *% Two concentric wire loops of radius r = 20 cm and R = 39 cm are fastened together and placed in a uniform magnetic field B as shown. The outer loop carries a current of 2.20 mA. What current must the inner loop carry so that there is no net torque on the system? B 12 r R1. [lpt] * Which of the following statements are true? Select all cor rect. If none correct, enter N. A) The magnetic force does zero work on a moving charge. B) For circular motion, the acceleration is given by a, = 112/?" towards the center of the circle. C) The speed of a moving charge in a magnetic eld is con stant. D) The magnetic force is always perpendicular to the displace ment of a moving charge. 2.[1pt] *1??? Consider a particle moving through a uniform magnetic eld _' B: (27.0 mT)i, with initial velocity v (80 m/s)j. The par ticle experiences a force F ( 2. 20 x 10 18 N)k. Calculate the charge on the particle. 12. [1pt] * *% Each of the four diagrams below shows a segment of a current-carrying wire in a magnetic field. Select the direction of the force on the wire from the following list: A) 1 B 4 C + D) - EQ F O G) none of these H) no force For example, if the force in Diag. 1 is into the page (), in Diag. 2 out of the page (), and in Diags. 3 and 4, towards the top of the page, enter EFAA. I 1) Wire 300 B I 2) Wire B B 3) I 450 Wire 4) B - Wire 13. [1pt] * *w Assume that a 5.40m long straight wire has a resistance of 16.00. The wire is located in a magnetic field B = 1.24Tperpendicular to the wire. What potential difference (supplied by a battery) is required so that the magnetic eld exerts a force of 1.79 N on the wire? 14. [1pt] was! Consider a square current loop with sides L = 35cm in a uniform magnetic eld B = 175 mT, as shown. A current I = 35.0 mA passes through the loop. Calculate the torque on the loop when the area vector is perpendicular to the magnetic eld, as shown. 15. [1pt] *'i' Calculate the torque on the same loop when the area vector forms an angle 6' = 390 with respect to the magnetic eld, as shown A 9 L I I 3 below