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| 1. |
A cylindrical conductor of radius R carries a current along its length. The current density J, however, is not uniform over the cross section of the conductor but is a function of the radius according to J = br, where b is a constant. Find an expression for the magnetic field B. (a) at r_1 lt R (b) at distance r_2 gt R, measured from the axis. Hint [use Ampere's Law] |
| Answer» Solution :`B_(1) = (mu_0 br_(1)^(2))/(3). B_(2) = (mu_0 R^3)/(3r_2)` | |