HW9T_Sol_15_F11

HW9T_Sol_15_F11 - GEE/i NG E CGUT‘ZTRY HONIE‘VORK SET 9...

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Unformatted text preview: GEE/i NG E CGUT‘ZTRY HONIE‘VORK SET 9 SE A N S E QUE/ENTRY Phys 2114 Instructor: Professor Bandy Fall 201 I Q} A real solenoid usually has a small but nonzero internal resistance. The solenoid considered for our circuit speciﬁes an inductance of 53 mH and a resistance of 0.3 7 [2. if the solenoid is connected to a battery, how long will the current take to reach half it ﬁnal equilibrium value? Calculate the magnetic ﬁeld strength on Earth’s surface at either pole if the Earth’s magnetic dipole moment is 4.0 x 1022 Amz. Give answer in Gauss units. 3. If the circular conductor in Fig. l undergoes thermal expansion while it is in a uniform magnetic field, a current is induced clockwise around it. Is the magnetic ﬁeld directed into or out of the page? Explain. The line integral of the magnetic field on a closed path surrounding a wire has the value I 7.6 an1. Calculate the current in the wire. (’53 We want to generate a 0.10 T uniform magnetic ﬁeld near the center of a 10—m—long solenoid. Calculate the number of turns that are needed if the wire can carry a maximum current of 10A. 6. Figure 2 shows a cross section across a diameter of a long cylinder conductor of radius a = 2.00 cm carrying uniform current I 70 A. Calcalate the magnitude of the current’s magnetic ﬁeld at radial distance a. 0 cm, I). 1. 00 cm, c. 2. 00 cm (Wire’s surface), (I. 4. 00 cm. 7. A solenoid of length 10 cm and radius 2 cm is wound uniformly with 1000 turns. A second coil of 100 turns is wound around the solenoid at its center. Calculate the mutual inductance. Give answer in micro-Henry units. 8. An electric motor contains a 500-turn circular coil 6.2 cm in diameter. If it is to develop a maximum torque of 1.2 Nm at a current of 3.3 A, calculate the magnetic field strength 9 Calculate the rate of change of the solenoid’s magnetic ﬁeld when the induced electric ﬁeld 12 cm from the axis of the solenoid with a 10—cm radius is 90 V/m. Give answer in Tesla per millisecond. 10. In Fig. 3, four long straight wires are perpendicular to the page, and their cross sections form a sguare of edge length a = 13.5 cm. Each wire carries 7.50 A, and the currents are out of the page in wires 1 and 4 and into the page in wires 2 and 3. In unit-vector notation, calculate the net magnetic force per meter of wire length on wire 4. 11, Text problem 27 — 42 part a only V: my N N §§_____C£__-_‘>@ FigureZ 4‘5’ 3 J: \$ @ __, Figure 1 Figure 3 K }_f/ K ‘ 3 "‘ ~r f7", .. , I . ﬁ 15.". Q’JJX r: . ,: n, age»? X ...
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