A certain cylindrical wire carries current. We draw a circle of radius r around

Question

A certain cylindrical wire carries current. We draw a circle of radius r around its central axis in Figure (a) to determine the current i within the circle. Figure (b) shows current i as a function of r2. The vertical scale is set by is = 4.2  mA, and the horizontal scale is set by rs2 = 4.5 mm2. (a) Is the current density uniform (1 denotes "yes", 0 - otherwise)? (b) If so, what is its magnitude?

A certain cylindrical wire carries current. We draw a circle of radius r around its central axis in Figure (a) to determine the current i within the circle. Figure (b) shows current i as a function of r2. The vertical scale is set by is = 4.2 mA, and the horizontal scale is set by rs2 = 4.5 mm2. (a) Is the current density uniform (1 denotes "yes", 0 - otherwise)? (b) If so, what is its magnitude?

Explanation / Answer

(a).Yes

(b).J=1.25is/pi*rs^2 =3.97

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