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Homework Assignment #5 Physics E-1b spring 2013 Due by 6:00 pm on Thursday, March 14 Assignments should be dropped into your Section TF's locked...

Problems #3, 4, 5 and Multiple Choice #1, 2, 3, 4

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Physics E-1b Homework Assignment #5 spring 2013 Due by 6:00 pm on Thursday, March 14 Assignments should be dropped into your Section TF's locked mailbox, located on the 2nd floor near room 201, and will be graded by your TF. Reading: Chapter 19 of Giambattista et al Physics , 2 nd edition, pp 693-728 For next lecture: Chapter 20, pp 741-769 Problems : [4 pts each] 1. The magnetic field in a cyclotron is 0.360 T. The dees have a radius of 82.0 cm. What maximum speed can a proton achieve in this cyclotron? 2. An electromagnetic flowmeter is used to measure blood flow rates during surgery. Blood containing Na+ ions flows due south through an artery with a diameter of 0.40 cm. The artery is in a downward magnetic filed of 0.25 T and develops a Hall voltage of 0.35 mV across its diameter. (a) What is the blood speed (in m/s)? (b) What is the flow rate (in m 3 /s)? (c) The leads of a voltmeter are attached to diametrically opposed points on the artery to measure the Hall voltage. Which of the two leads is at the higher potential? 3. (a) What force is exerted on the water in a MHD (magneto-hydrodynamic) drive utilizing a 25.0 cm diameter tube, if 100 A current is passed across the tube perpendicular to a 2.0 T magnetic field? (b) Assuming the force is uniformly applied to the water, calculate the pressure in N/m 2 created. Is this a significant fraction of an atmosphere? 4. A wire carrying a 30.0 A current passes between the poles of a strong magnet, perpendicular to its field, and experiences a 2.16 N Force on the 4.0 cm of wire in the field. (This is similar to the demonstration shown in lecture.) What is the average field strength? 5. A surveyor, 100 m from a long straight 200 kV DC power line, suspects that its magnetic field may equal that of the earth and would affect compass readings. (a) Calculate the current in the wire needed to create a 5.0 × 10 -5 T ( ½ gauss) field at this distance. (b) What is unreasonable about this result? (c) Which assumption or premise is responsible?
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6. In an electric motor, a circular coil with 100 turns of radius 2.0 cm can rotate between the poles of a magnet. When the current through the coil is 75 mA, the maximum torque that the motor can deliver is 0.0020 N m. (a) What is the strength of the magnetic field? (b) Is the torque on the coil clockwise or counterclockwise as viewed from the front at the instant shown in the figure? 7. A long straight wire carries a current of 3.2 A in the positive x-direction. An electron, traveling at 6.8 × 10 6 m/s in the positive x-direction, is 4.6 cm from the wire. What force acts on the electron? 8. Two parallel wires in a horizontal plane carry currents I 1 and I 2 to the right. The wires each have length L and are separated by a distance d. (a) What are the magnitude and direction of the field due to wire 1 at the location of wire 2? (b) What are the magnitude and direction of the magnetic force on wire 2 due to this field? (c) What are the magnitude and direction of the field due to wire 2 at the location of wire 1? (d) What are the magnitude and direction of the magnetic force on wire 1 due to this field? (e) Do parallel currents in the same direction attract or repel? (f) What about parallel currents in opposite directions?
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Q3)
Length (l )=25 cm = 0.25m
Current (I) = 100 A
Magnetic Field (B) = 2 T
Force = B*I*L
F = 2 * 100* 0.25
F = 50 N
Q4)
Length (L )= 4 cm = 0.04m
Current (I) = 30 A
Force (F) = 2.16 N
Magnetic...

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