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# act09ans - Do NOT write on these sheets or take them with...

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Do NOT write on these sheets or take them with you! The next class needs them too! PHYS-1200 PHYSICS II SPRING 2006 Class 9 Activity: Faraday’s Law and Inductance SOLUTION Faraday’s law is generally stated as Φ - = dt d s d E B , although we initially used it as 1. State in your own words what this new formulation of Faraday’s law means. A changing magnetic field produces an electric field. 2. A long solenoid has 200 turns per centimeter and a of radius 15 cm. It carries a current that varies according to the equation i sol = 3 t + t 2 , where i is in amperes and t is in seconds. Find the strength of the magnetic field in the solenoid as a function of time. T ) 3 )( 10 51 . 2 ( T ) 3 )( 10 8 ( ) 3 )( 20000 )( H/m 10 4 ( ) 3 ( 2 2 2 3 2 7 2 0 0 t t B t t t t t t n ni B + × = + × = + × = + = = - - - π π μ μ where t is in seconds . 3. At t = 2 s, find the flux through a circle of radius 7.0 cm, centered on the axis of the solenoid. Wb 10 87 . 3 ) m 07 . 0 ( ) 2 2 3 )( 10 51 . 2 ( ) 3 )( 10 51 . 2 ( 3 2 2 2 2 2 2 2 - - - × = + × × = + × = = Φ π π π r t t r B B 4. At t = 2 s, find the rate of change of flux through a circle of radius 7.0 cm, centered on the

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act09ans - Do NOT write on these sheets or take them with...

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