Question

A solid cylindrical conducting shell of inner radius a = 4.7 cm and outer radius b = 5.8 cm has its axis aligned with the z- axis as shown. It carries a uniformly distributed current l2 = 5.6 A in the positive z-direction. An inifinte conducting wire is located along the z-axis and carries a current I1 = 3.7 A in the negative z-direction R707d 707d) Sód, 6d). P(a0)

Answer 1

In section R-s, B^bar. Dl^bar = 0 in section P-R, 1/8 of complete loop so, = 1/8 integral_loop B^bar. Dl^bar = 1/8 mu_0 I = 1/8 mu_0 (I_2 + I_2) = 1/8 (4 pi times 10^- 7) (5.6 + 3.7) = 1.46 times 10^- 6 T. m at t = -5.1 cm I_2 enc = I_2 (pi (r^2 - a^2)/pi (b^2 - a^2)) = 5.6 (5.1^2 - 4.7^2)/5.8^2 - 4.7^2 I_2 enc = 1.9 A BT = -4 pi times 10^- 7 (- 3.7 + 1.9)/2 pi (0.051) = 7.05 times 10^- 6 T since the end points are the same as (2) countourintegral_s = -1.46 times 10^- 6 T. n = -1.46 times 10^- 6 T m integral B^bar. D l^bar = mu_0 I0-en points inside radius 4.7 cm are not affected by I_2. So B(2.35 cm, 0) remains the same