The charge per unit length on a long, straight filament is -86.1 mu C/m. Find th

Question

The charge per unit length on a long, straight filament is -86.1 mu C/m. Find the electric field 10.0 cm from the filament, where distances are measured perpendicular to the length of the filament. (Take radially inward toward the filament as the positive direction.) ____________ MN/C Find the electric field 21.5 cm from the filament, where distances are measured perpendicular to the length of the filament. ____________ MN/C Find the electric field 130 cm from the filament, where distances are measured perpendicular to the length of the filament.

Explanation / Answer

a) The equation for the electric field of an infinitely long line charge with charge density :

E = /2z = (-86.1 × 10^-6) / 2(3.14)(0.1)(8.854 × 10^12)

= 1.55 x 10^7 N/C = 15.5 MN/C

b) E = /2z = (-86.1 × 10^-6) / 2(3.14)(0.215)(8.854 × 10^12)

= 0.72 x 10^7 N/C = 7.2 MN/C

c) E = /2z = (-86.1 × 10^-6) / 2(3.14)(1.3)(8.854 × 10^12)

= 0.119 x 10^7 N/C = 1.19 MN/C

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