A current of 100 A flows in a conical copper with dimensions as shown in Fig 26.8. Find the current density and electric field intensity at the end faces of the conductor

Answer

(a) `3.5 xx 10^(6) A//m^2, 6.2 xx 10^(-2) W//m, (b) 1.3 xx 10^(6) A//m^2, 2.2 xx 10^(-2)V//m`.

Explanation

The diameter of an arbitrary cross section of the conductor a distance x from the minimum cross section is y=a+z (D-a)/l. The current density and the field strength in an arbitrary cross section are `i=i/S=(4i)/(pi y^2), E=pl =(4pi)/(4pi y^2)`