College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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- An MRI technician moves her hand from a region of very low magnetic field strength ( approximately zero) into the MRI scanner's field in a quick motion, taking 3.1 milliseconds. The MRI is essentially a solenoid, with 1500 loops of wire. By doing so, a current of 0.15 milliAmps is induced in her wedding ring. If her wedding ring has a diameter of 1.95 cm and it has measured resistance of 119 Ohms, what is the magnetic field in the MRI.arrow_forwardFor a technical application, an electrical engineer needs to create a solenoid using copper wire with diameter d = 0.500 mm. The resistance of the solenoid needs to be 5.10 2 and the magnetic field of the solenoid with a current of 3.10 A should be 5.90 x 10-2 T. Assume the resistance does not change significantly with temperature, and the radius of the solenoid is 1.00 cm. (Use p = 1.70 x 1080 m for the resistivity of copper.) (a) How many turns of wire does the electrical engineer need? turns (b) Determine the required length (in cm) of the solenoid. cmarrow_forwardL R = 5.00 Q X Xix x 1 |X X X X R P = FexV =8.50 J/s Fext W X xx x X X X X X X X X A rectangular wire loop of length L, width w, is pulled out of a constant, uniform magnetic field with constant velocity v. The loop has a resistance R. The magnetic field of magnitude B, points into the plane of the paper, and is confined to the rectangular region shown above. Work must be done on the loop at the rate of P, to move it through the magnetic field at constant velocity. Find the magnitude of the emf, & and the current I for the loop.arrow_forward
- It is desired to construct a solenoid that will have a resistance of 5.30 Ω (at 20°C) and produce a magnetic field of 4.00 ✕ 10−2 T at its center when it carries a current of 3.40 A. The solenoid is to be constructed from copper wire having a diameter of 0.500 mm. If the radius of the solenoid is to be 1.00 cm, determine the following. (The resistivity of copper at 20°C is 1.7 ✕ 10−8 Ω · m.) (a) the number of turns of wire needed to build the solenoid (b) the length the solenoid should have, in cm.arrow_forwardConsider the RL direct current circuit shown. The circuit contains R = 4.0 Ω, L = 10 mH, & ε = 12 V. The circuit is charging. (a) Determine the time constant for the circuit? (b) What is the maximum current in the circuit? (c) What is the current one time constant (t = τ )? (d) When the current is 0.5 A, what is the strength of the magnetic field in the solenoid, with n = N/ℓ = 319x103 turns/m. ( T×m/A)arrow_forwardA solenoid in your car is 36 cm long and has a diameter of 7.9 cm. It is made of copper wire with a radius of 0.50 mm. The turns are closely packed and form a single layer. Assume the resistivity of copper is 1.68 ✕ 10−8 Ω · m. (a) When the solenoid is connected to your battery with E = 11.6 V, what is the magnetic field inside the solenoid? (Enter the magnitude.) Tarrow_forward
- Your employer asks you to build a 17-cm-long solenoid with an interior field of 4.7 mT. The specifications call for a single layer of wire, wound with the coils as close together as possible. You have two spools of wire available. Wire with a # 18 gauge has a diameter of 1.02 mm and has a maximum current rating of 6 A. Wire with a # 26 gauge is 0.41 mm in diameter and can carry up to 1 A. Part A Which wire should you use? #26 # 18 Submit Part B I = What current will you need? Express your answer to two significant figures and include the appropriate units. Request Answer Submit O μA Value Request Answer Units ?arrow_forwardIt is desired to construct a solenoid that will have a resistance of 5.60 N (at 20°C) and produce a magnetic field of 4.00 X 10¬2T at its center when it carries a current of 3.10 A. The solenoid is to be constructed from copper wire having a diameter of 0.500 mm. If the radius of the solenoid is to be 1.00 cm, determine the following. (The resistivity of copper at 20°C is 1.7 × 10-8 0· m.) (a) the number of turns of wire needed to build the solenoid 1029 v turns (b) the length the solenoid should have X cm 1.034*10**7arrow_forwardIt is desired to construct a solenoid that will have a resistance of 4.15 2 (at 20°C) and produce a magnetic field of 4.00 x 10-2 T at its center when it carries a current of 5.00 A. The solenoid is to be constructed from copper wire having a diameter of 0.500 mm. If the radius of the solenoid is to be 1.00 cm, determine the following. (The resistivity of copper at 20°C is 1.7 x 10-8 0 • m.) (a) the number of turns of wire needed to build the solenoid turns (b) the length the solenoid should have cmarrow_forward
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