(a) Explanation Follow the right handed cylindrical coordinate system. Write the expression for Faraday’s law. ∮ E ⋅ d l = − A d B ( t ) d t (I) Here, E is the vortex electric field produced by time varying magnetic field, d l is the line element, A is the area, t is the time and B ( t ) is the magnetic field. Write the expression for area. A = π r 2 2 Here, A is the area, r 2 is the radius of the circular region in which magnetic field is varying. Write the expression for length element. ∮ d l = 2 π r 2 φ ^ Here, φ ^ is the unit vector in the anticlockwise direction as seen from above. Let the electric field be in the clockwise − φ ^ direction, then equation (I) takes the following form. E ∮ ( − φ ^ ) ⋅ ( d l ) = − A d B ( t ) d t Substitute ( 2 π r 2 φ ^ ) for ∮ d l , π r 2 2 for A and 0.0300 t 2 + 1.40 for B ( t ) in above equation to find E . E ( − φ ^ ) ⋅ ( 2 π r 2 φ ^ ) = − π r 2 2 d d t ( 0 (b) To determine The direction of the electric field at point P 2 .

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Question

Chapter 31, Problem 40P

(a)

To determine

The magnitude of electric field at point P2.

(b)

To determine

The direction of the electric field at point P2.

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Chapter 31, Problem 39P

Chapter 31, Problem 41P

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Chapter 31 Solutions

Bundle: Physics for Scientists and Engineers with Modern Physics, Loose-leaf Version, 9th + WebAssign Printed Access Card, Multi-Term

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

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