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Unformatted text preview: Physics 122 Spring 2009 Document #21: Tenth Homework Assignment page 1 of 8 PHYS 122: Tenth Homework Assignment March 31, 2009 This homework due in Box outside of Rock 207: 5:00 PM Sharp, Monday April 6, 2009 Announcements: Third Hour Exam is Friday, April 10, 9:30 AM. Worth 10% of your grade. Mark your calendar now. Problem 1 starts next page... Physics 122 Spring 2009 Document #21: Tenth Homework Assignment page 2 of 8 Problem 1: (from Third Hour Exam two years ago:) x z y B(t) E(t) endcap We consider a finite region of space (shown above). This region of space contains no charge and no currents. However, there are externally applied uniform timevarying electric and magnetic fields in the region which are defined as follows: vector E ( t ) = E t 3 3 vector B ( t ) = B sin( t ) Suppose in this region we define three imaginary geometric concepts: We define a closed surface S which is a fixed cylinder that is tipped at an angle relative to yaxis as shown. The length of the cylinder is and the radius is a . We define an open surface S 1 which is the upper flat endcap of this cylinder S . We define a loop L 1 so that the loop L 1 bounds the open surface S 1 . In other words the loop corresponds to the circumference around the endcap. Part (a): Determine the total flux of the the externally applied electric field as a function of time through the surface S . Explain how you got your answer. Part (b) : Determine the total flux of the the externally applied magnetic field as a function of time through the surface S . Explain how you got your answer. Part (c) : Determine the total flux of the the externally applied magnetic field as a function of time through the surface S 1 . Explain how you got your answer. Physics 122 Spring 2009 Document #21: Tenth Homework Assignment page 3 of 8 Part (d) : Determine the induced voltage as a function of time around the loop L 1 . Explain how you got your answer. Part (e) : Determine the magnitude of the induced magnetic field on the loop L 1 that results from the associated displacement current. Hint: there is no real current here. The displacement current is a term corresponding to a change in the flux of electric field through a surface. Explain how you got your answer....
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This note was uploaded on 11/06/2009 for the course PHYS 122 taught by Professor Covault during the Spring '08 term at Case Western.
 Spring '08
 Covault
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