hw14b - aljabr (faa335) Hw14 Ross (89251) 1 This print-out...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: aljabr (faa335) Hw14 Ross (89251) 1 This print-out should have 8 questions. Multiple-choice questions may continue on the next column or page find all choices before answering. 001 (part 1 of 4) 10.0 points The figure below shows a straight cylindrical coaxial cable of radii a , b , and c in which equal, uniformly distributed, but antiparallel currents i exist in the two conductors. O i out i in F E D C r 1 r 2 r 3 r 4 c b a Which expression gives the magnitude of the magnetic field in the region r 1 < c (at F )? 1. B ( r 1 ) = ir 1 2 c 2 correct 2. B ( r 1 ) = ir 1 2 b 2 3. B ( r 1 ) = i r 1 4. B ( r 1 ) = i ( r 2 1 b 2 ) 2 r 1 ( a 2 b 2 ) 5. B ( r 1 ) = i ( a 2 + r 2 1 2 b 2 ) 2 r 1 ( a 2 b 2 ) 6. B ( r 1 ) = 0 7. B ( r 1 ) = i 2 r 1 8. B ( r 1 ) = i ( a 2 r 2 1 ) 2 r 1 ( a 2 b 2 ) 9. B ( r 1 ) = i ( a 2 b 2 ) 2 r 1 ( r 2 1 b 2 ) 10. B ( r 1 ) = ir 1 2 a 2 Explanation: Amperes Law states that the line inte- gral contintegraldisplay vector B d vector around any closed path equals I , where I is the total steady current pass- ing through any surface bounded by the closed path. Considering the symmetry of this problem, we choose a circular path, so Amperes Law simplifies to B (2 r 1 ) = I en , where r 1 is the radius of the circle and I en is the current enclosed. For r 1 < c , B = I en 2 r 1 = parenleftbigg i r 2 1 c 2 parenrightbigg 2 r 1 = i parenleftbigg r 2 1 c 2 parenrightbigg 2 r 1 = ir 1 2 c 2 . 002 (part 2 of 4) 10.0 points Which expression gives the magnitude of the magnetic field in the region c < r 2 < b (at E )? 1. B ( r 2 ) = i 2 r 2 correct 2. B ( r 2 ) = i ( a 2 r 2 2 ) 2 r 2 ( a 2 b 2 ) 3. B ( r 2 ) = i r 2 4. B ( r 2 ) = ir 2 2 a 2 5. B ( r 2 ) = i ( a 2 b 2 ) 2 r 2 ( r 2 2 b 2 ) 6. B ( r 2 ) = i ( r 2 2 b 2 ) 2 r 2 ( a 2 b 2 ) 7. B ( r 2 ) = i ( a 2 + r 2 2 2 b 2 ) 2 r 2 ( a 2 b 2 ) aljabr (faa335) Hw14 Ross (89251)...
View Full Document

Page1 / 5

hw14b - aljabr (faa335) Hw14 Ross (89251) 1 This print-out...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online