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9_Chapter 20 HomeworkCH20 Induced Voltages and Inductance

9_Chapter 20 HomeworkCH20 Induced Voltages and Inductance -...

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Induced Voltages and Inductance 183 20.18 From B v ε = , the required speed is A ( )( ) ( )( ) 0.500 A 6.00 1.00 m s 2.50 T 1.20 m v = A A IR B B ε = = = 20.19 B v ε = A v G , where is the component of the magnetic field perpendicular to the velocity . Thus, B ( ) ( ) ( ) 6 50.0 0 T sin58.0 60.0 m 300 m s 0.763 V 1 ε ° = = × 20.20 The speed of the beam after falling freely for 9.00 m, starting from rest ( ) , is 0 0 y v = ( ) ( ) ( ) 2 2 0 2 0 2 9.80 m s 9.00 m 13.3 m s y y y v v a y = + = + = B v Since the induced emf is ε = A B , where is the component of the magnetic field perpendicular to the velocity v G , we find ( ) ( ) ( ) 6 3 18.0 10 T 13.3 m 2.87 10 V 2.87 mV 12.0 m s ε = × = × = 20.21 (a) Observe that only the horizontal component, B h , of Earth’s magnetic field is effective in exerting a vertical force on charged particles in the antenna. For the
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