Explanation Write the expression for the magnetic flux linked with the coil. ϕ = B A cos θ (I) Here, ϕ is the magnetic flux linked with the coil, B is the magnetic field, A is the area and θ is the angle. Write the expression for the area. A = π r 2 (II) Here, r is the radius. Write the expression for the induced emf. ε = − N d ϕ d t (III) Here, ε is the induced emf and N is the number of turns. Conclusion: Substitute 2.70 mm for r in equation (II) to solve for A . A = π ( 2.70 mm × 10 − 3 m 1 mm ) 2 = 2.29 × 10 − 5 m 2 Substitute 2.29 × 10 − 5 m 2 for A and ( 50.0 mT + 3.20 sin ( 1046 π t ) ) for B and 0 ° for θ in equation (I) to solve for ϕ . ϕ = ( 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 59AP

To determine

The emf induced in the coil as a function of time.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 31, Problem 58AP

Chapter 31, Problem 60AP

Students have asked these similar questions

The magnetic field shown in the diagram is oriented perpendicular to the loop and is described by the equation B = 1 + (0.5) t - (0125) tº T, where t i time. If the loop has dimensions of 5m in length x 3 m in width and it has a resistance of 5 2, what is the rate of change of the magnetic flux through the loop at t = 2 s? Faraday.pdf O 15 T m s-1 O 15 Ts1 O - 15 T m s-1 O -15 Ts1 O - 30 T m s1

A square coil of wire of side 3.05 cm is placed in a uniform magnetic field of magnitude 1.75 T directed into the page as in the figure shown below. The coil has 21.0 turns and a resistance of 0.780 Q. If the coil is rotated through an angle of 90.0° about the horizontal axis shown in 0.335 s, find the following. Rotation axis x x X (a) the magnitude of the average emf induced in the coil during this rotation (b) the average current induced in the coil during this rotation x xx x x xx x x xx x

A coil consists of 25 loops of wire and has a diameter of 10 cm. Its resistance is 0.1Ω. At t=0 it lies perpendicular to a 0.5 T magnetic field (that is to say, the normal to the plane of the coil is parallel to the field direction) and the coil begins to rotate at 30 rad/s. Find the emf of induced in the coil and the current that flows as a function of time.

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 emf induced in the coil as a function of time.

Solution Summary: The author analyzes the emf induced in the coil as a function of time. varphi =BAmathrmcostheta , A is the area,

Videos

The emf induced in the coil as a function of time.

Want to see the full answer?

Chapter 31 Solutions