Explanation Write the expression for the for induced emf in the coil. e = − N d Φ B d t (I) Here, e is induced emf, N is number of turns, Φ B is magnetic flux and d t is change in time. Write the expression for flux in the coil due to current carrying wire. Φ B = μ 0 I ( t ) L 2 π ln ( h + w h ) (II) Here, μ 0 is magnetic permeability of space, I ( t ) is current in wire h is distance of loop from wire, L is length of the loop and w is width of the loop. Substitute μ 0 I ( t ) L 2 π ln ( h + w h ) for Φ B in equation (I) to find the emf. e = − N d d t ( μ 0 I ( t ) L 2 π ln ( h + w h ) ) = − N μ 0 L 2 π ln ( h + w h ) d I ( t ) d t Substitute I max sin ( ω t + ϕ ) for I in above formula. e = − N μ 0 L 2 π ln ( h + w h ) d d t ( I max sin ( ω t + ϕ ) ) = − μ 0 N L ω I max 2 π ln ( h + w h ) cos ( ω t + ϕ ) Here, I max , ω and ϕ are constants. Conclusion: Substitute 4 π × 10 − 7 H / m for μ 0 , 50

Physics for Scientists and Engineers with Modern, Revised Hybrid (with Enhanced WebAssign Printed Access Card for Physics, Multi-Term Courses)

9th Edition

ISBN: 9781305266292

Author: Raymond A. Serway, John W. Jewett

Publisher: Cengage Learning

See similar textbooks

Videos

Question

Chapter 31, Problem 77AP

To determine

The induced emf in the coil.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 31, Problem 76AP

Chapter 31, Problem 78AP

Students have asked these similar questions

29.57 The long, straight wire shown in Fig. P29.57a carries constant current I. A metal bar with length L is moving at constant velocity v, as shown in the figure. Point a is a distance d from the wire. (a) Calculate the emf induced in the bar. (b) Which point, a or b, is at higher potential? (c) If the bar is replaced by a rectangular wire loop of resistance R (Fig. P29.57b), what is the magnitude of the current induced in the loop? Hint: (b) and (c) are conceptual questions.

A conducting rod moves with a constant velocity in a direction perpendicular to a long, straight wire carrying a current I as shown in Figure P30.40. Show that the magnitude of the emf generated between the ends of the rod isChapter 30, Problem 40AP, A conducting rod moves with a constant velocity in a direction perpendicular to a long, straight , example 1In this case, note that the emf decreases with increasing r as you might expect.Figure P30.40Chapter 30, Problem 40AP, A conducting rod moves with a constant velocity in a perpendicular to a long, straight , example 2

A 5.0-cm-diameter coil has 20 turns and a resistance of 0.50Ω. A magnetic field perpendicular to the coil is B=0.020t+0.010t2, where B is in tesla and t is in seconds. Find an expression for the induced current I(t) as a function of time. Evaluate I at t=5.0s . Evaluate I at t=10s.

Chapter 31 Solutions

Physics for Scientists and Engineers with Modern, Revised Hybrid (with Enhanced WebAssign Printed Access Card for Physics, Multi-Term Courses)

Ch. 31.1 - A circular loop of wire is held in a uniform...Ch. 31.2 - QUICK QUIZ 30.2 In Figure 30.8a, a given applied...Ch. 31.3 - Figure 30.12 (Quick Quiz 30.3) QUICK QUIZ 30.3...Ch. 31.5 - Prob. 31.4QQ Ch. 31.6 - Prob. 31.5QQ Ch. 31 - Prob. 1OQ Ch. 31 - Prob. 2OQ Ch. 31 - Prob. 3OQ Ch. 31 - Prob. 4OQ Ch. 31 - Prob. 5OQ

Ch. 31 - Prob. 6OQ Ch. 31 - Prob. 7OQ Ch. 31 - Prob. 8OQ Ch. 31 - Prob. 9OQ Ch. 31 - Prob. 10OQ Ch. 31 - Prob. 11OQ Ch. 31 - Prob. 1CQ Ch. 31 - Prob. 2CQ Ch. 31 - Prob. 3CQ Ch. 31 - Prob. 4CQ Ch. 31 - Prob. 5CQ Ch. 31 - Prob. 6CQ Ch. 31 - Prob. 7CQ Ch. 31 - Prob. 8CQ Ch. 31 - Prob. 9CQ Ch. 31 - Prob. 10CQ Ch. 31 - Prob. 1P Ch. 31 - Prob. 2P Ch. 31 - Prob. 3P Ch. 31 - Prob. 4P Ch. 31 - Prob. 5P Ch. 31 - Prob. 6P Ch. 31 - Prob. 7P Ch. 31 - Prob. 8P Ch. 31 - Prob. 9P Ch. 31 - Scientific work is currently under way to...Ch. 31 - Prob. 11P Ch. 31 - Prob. 12P Ch. 31 - Prob. 13P Ch. 31 - Prob. 14P Ch. 31 - Prob. 15P Ch. 31 - Prob. 16P Ch. 31 - A coil formed by wrapping 50 turns of wire in the...Ch. 31 - Prob. 18P Ch. 31 - Prob. 19P Ch. 31 - Prob. 20P Ch. 31 - Prob. 21P Ch. 31 - Prob. 22P Ch. 31 - Prob. 23P Ch. 31 - A small airplane with a wingspan of 14.0 m is...Ch. 31 - A 2.00-m length of wire is held in an eastwest...Ch. 31 - Prob. 26P Ch. 31 - Prob. 27P Ch. 31 - Prob. 28P Ch. 31 - Prob. 29P Ch. 31 - Prob. 30P Ch. 31 - Prob. 31P Ch. 31 - Prob. 32P Ch. 31 - Prob. 33P Ch. 31 - Prob. 34P Ch. 31 - Prob. 35P Ch. 31 - Prob. 36P Ch. 31 - Prob. 37P Ch. 31 - Prob. 38P Ch. 31 - Prob. 39P Ch. 31 - Prob. 40P Ch. 31 - Prob. 41P Ch. 31 - Prob. 42P Ch. 31 - Prob. 43P Ch. 31 - Prob. 44P Ch. 31 - Prob. 45P Ch. 31 - Prob. 46P Ch. 31 - Prob. 47P Ch. 31 - Prob. 48P Ch. 31 - The rotating loop in an AC generator is a square...Ch. 31 - Prob. 50P Ch. 31 - Prob. 51AP Ch. 31 - Prob. 52AP Ch. 31 - Prob. 53AP Ch. 31 - Prob. 54AP Ch. 31 - Prob. 55AP Ch. 31 - Prob. 56AP Ch. 31 - Prob. 57AP Ch. 31 - Prob. 58AP Ch. 31 - Prob. 59AP Ch. 31 - Prob. 60AP Ch. 31 - Prob. 61AP Ch. 31 - Prob. 62AP Ch. 31 - Prob. 63AP Ch. 31 - Prob. 64AP Ch. 31 - Prob. 65AP Ch. 31 - Prob. 66AP Ch. 31 - Prob. 67AP Ch. 31 - A conducting rod moves with a constant velocity in...Ch. 31 - Prob. 69AP Ch. 31 - Prob. 70AP Ch. 31 - Prob. 71AP Ch. 31 - Prob. 72AP Ch. 31 - Prob. 73AP Ch. 31 - Prob. 74AP Ch. 31 - Prob. 75AP Ch. 31 - Prob. 76AP Ch. 31 - Prob. 77AP Ch. 31 - Prob. 78AP Ch. 31 - Prob. 79CP Ch. 31 - Prob. 80CP Ch. 31 - Prob. 81CP Ch. 31 - Prob. 82CP Ch. 31 - Prob. 83CP

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

The induced emf in the coil.

Solution Summary: The author writes the expression for the induced emf in the coil.

Videos

The induced emf in the coil.

Want to see the full answer?

Chapter 31 Solutions