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D5.2.
Current density is given in cylindrical coordinates as J = -106z1.5 a, A/m? in the region 0<p< 20 µm;
for p > 20 um, J = 0. (a) Find the total current crossing the surface z = 0.1 m in the az direction. (b) If
the charge velocity is 2 x 106 m/s at z = 0.1 m, find p, there. (c) If the volume charge density at z =
0.15 m is -2000 C/m³, find the charge velocity there.
Ans. –39.7 µA; -15.8 m C/m3; 29 m/s
Transcribed Image Text:D5.2. Current density is given in cylindrical coordinates as J = -106z1.5 a, A/m? in the region 0<p< 20 µm; for p > 20 um, J = 0. (a) Find the total current crossing the surface z = 0.1 m in the az direction. (b) If the charge velocity is 2 x 106 m/s at z = 0.1 m, find p, there. (c) If the volume charge density at z = 0.15 m is -2000 C/m³, find the charge velocity there. Ans. –39.7 µA; -15.8 m C/m3; 29 m/s
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