Question

Consider a long straight coaxial cable that carries a total current +I on its central conductor and - I on its concentric outer shell. Assuming that the current density on both conductors is uniform (though not necessarily the same value for both), find the magnitude of the magnetic field as a function of the radial distance s from the centre of the cable. Sketch a plot your result. For this particular problem, let the central conductor have a radius a and the outer shield have a thickness t = c-b, where b= 4a and c = 5a.

Answer 1

As per given information, a long straight coarial cable that carries a total current t I and its Central condenter and I on its concentric outer shell, The known formula of Ampere daw, - 8B do allo ImC. and here oca, 1. Iene - Side JS 22 de os sauss dodf's B t Tenc. a) and also, & B doo Mo Jena B x 2X Sl= . Mox I Billo TS À Exh ampherian loop thou i show in fig a 2xt

for Ha>n>a, Drenc = I and of B3 de a lo I qarl B = Mo I 1. ZTOS Tenc = I-I = & that for sosa, Sk. for noarcla. 4 49 Tack 12 Std. = I biedt Jose + 1-5* *Bacán Teve a Pli- giren These are the required solutions for information by teiking given waluy.

-- -- - .. . a ua . 5a.