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6_Chapter 20 HomeworkCH20 Induced Voltages and Inductance

6_Chapter 20 HomeworkCH20 Induced Voltages and Inductance -...

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180 CHAPTER 20 20.6 The magnetic field generated by the current in the solenoid is ( ) ( ) 7 2 0 250 4 10 T m A 15.0 A 2.36 10 0.200 m B nI µ π = = × = × ( ) ( ) T and the flux through each turn on the solenoid is 2 2 2 5 cos 4.00 10 m 2.36 10 T cos0 2.96 10 T m 4 B BA 2 θ π Φ = × = × ° = × 20.7 (a) The magnetic flux through an area A may be written as ( ) ( ) cos component of perpendicular to B B A B A θ Φ = = ( ) ( A Thus, the flux through the shaded side of the cube is ) 2 2 3 5.0 T 2.5 10 m 3.1 10 B x B A Φ = = × = × 2 T m (b) Unlike electric field lines, magnetic field lines always form closed loops, without beginning or end. Therefore, no magnetic field lines originate or terminate within
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