please show all work 7. A straight wire lies along the r axis, and carries a con

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please show all work

7. A straight wire lies along the r axis, and carries a constant current of 1.0A in the +a direction. (a) what is the magnetic field B (magnitude and direction) at the point z = 0.11 =0, z = 2Orn? (Note: material in part (a) will NOT be part of eram 3 for Spring 2016! It's chapter 28 stuff) Answer: B- 1.0 x 10-7 Ty (b) A particle with charge +1.0uC is located at the point (0,0,2.0rm) from part (a), and has a velocity v = 0.5m/sx. What is the magnetic force (magnitule and direction) on the particle? (Note: this IS ualid material for test Answer: F-_5.0 × 10-14 N 2 (c) Repeat (b) for the case where the particle's velocity is instead v- with everything else in the problem the same as in (b). 0.5m/d, F =-5.0 x 10-14 N Answer: 6

Explanation / Answer

A ) B = u0 *I / 2pi*r = 4pi *10-7 * 1 / ( 2pi * 2 ) = 1 *10^- 7 T

direction by right hand rule => - y   

B) F =q*V *B = 1 *10^-6 * 0.5 * 1 *10^- 7 = 5*10^-14 N

direction = ( V X B ) = > (x )X ( -y) = -Z

C ) magntitude is same  

direction =  (-z )X ( -y) = -x

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