•30 In Fig. 30-53a, a circular loop of wire is concentric with a sole- noid and lies in a plane perpendicular to the solenoid's central axis. The loop has radius 6.00 cm. The solenoid has radius 2.00 cm, con- sists of 8000 turns/m, and has a current igol varying with time t as given in Fig. 30-53b, where the vertical axis scale is set by i, = 1.00 A and the horizontal axis scale is set by t, = 2.0 s. Figure 30-530 shows, as a function of time, the energy Eh that is transferred to thermal energy of the loop; the vertical axis scale is set by E, 100.0 nJ. What is the loop's resistance? %3D E, t (s) t (s) (a) (b) (c)

•30 In Fig. 30-53a, a circular loop of wire is concentric with a sole- noid and lies in a plane perpendicular to the solenoid's central axis. The loop has radius 6.00 cm. The solenoid has radius 2.00 cm, con- sists of 8000 turns/m, and has a current igol varying with time t as given in Fig. 30-53b, where the vertical axis scale is set by i, = 1.00 A and the horizontal axis scale is set by t, = 2.0 s. Figure 30-530 shows, as a function of time, the energy Eh that is transferred to thermal energy of the loop; the vertical axis scale is set by E, 100.0 nJ. What is the loop's resistance? %3D E, t (s) t (s) (a) (b) (c)

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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1) A uniform magnetic field B points in the direction. A circular loop of wire has radius a and resistance R. At t = 0, the loop lies in the x-y plane, with the center of the loop at the origin of coordinates. The loop rotates about the y-axis with angular velocity w. Find the current, I(t), flowing through the loop at an arbitrary time t. (Ignore/neglect any "self-induction" effects, i.e., neglect any effects of the magnetic field produced by the current in the loop.)
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A wire loop is spinning on its axis in a uniform magnetic field. Is there an emf induced in the loop? Yes, as long as the angular velocity is nonzero Yes, but only if the angular velocity of the loop is increasing or decreasing Yes, but only if the angular velocity of the loop is constant O No
The magnetic flux through the loop shown in the accompanying figure varies with time according to -3 Φm Poe at sin(wt), where Do 3.5 × 10-³ Tm², a = 3 s¹, and w = 120 rad/s. What are = B the direction and magnitude of the current through the 5-№ resistor at (a) t = 0; (b) t = 2.17 × 10-² S, and (c) t = 3.00 s? 04 = a. Current flows down b. Current Select an answer c. Current Select an answer Hints Review Section 13.2 Lenz's Law for Lenz's Law, an intuitive rule for determining the direction of induced current flow. For the given description of this problem (positive direction for magnetic field is defined as pointing out of page), what does positive dom/dt mean for direction of current flow in the loop? What does negative døm/dt mean? Take care in taking derivative of m(t) and review Section 13.1 for induced voltage if needed. ' 5.0 Ω O with 263.9 ✓ with ✓ with mA at t = 0. mA at t = 2.17 × 10-² S. mA at t = 3.00 s.
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- at &m = - 2 The magnetic flux through the loop shown in the accompanying figure varies with time according to Poe sin(wt), where Do = 4 × 10-³ T · m², a = 5 s-¹, and w = 120 rad/s. What are the direction and magnitude of the current through the 5-0 resistor at (a) t = 0; (b) t = 2.17 × 10¯ s, and (c) t = 3.00 s? ' 5.0 Ω Hints mA at t = 0. a. Current mA at t b. Current mA at t c. Current ●tm B Select an answer Select an answer Select an answer with with with - 2 = = 2.17 × 10- S. = 3.00 s. -
•11 A rectangular coil of N turns and of length a and width b is rotated at frequency f in a uniform magnetic field B, as indicated in Fig. 30-42. The coil is connected to co-rotating cylinders, against which metal brushes slide to make contact. (a) Show that the emf induced in the coil is given (as a function of time t) by 8 = 2mfNabB sin(2mft) = Eg sin(2ft). This is the principle of the commercial alternating-current generator. (b) What value of Nab gives an emf with E 150 V when the loop is rotated at 60.0 rev/s in a uniform mag- %3D !3D netic field of 0.500 T? Sliding contacts XX X X x X a Fig. 30-42 Problem 11.