The charge per unit length on a long, straight filament is-93.0 µC/m. (a) Find t

Question

The charge per unit length on a long, straight filament is-93.0 µC/m. (a) Find the electric field 10.0 cm from thefilament. Distances are measured perpendicular to the length of thefilament. (Take radially inward toward the filament as the positivedirection.)
1 MN/C

(b) Find the electric field 26.0 cmfrom the filament.
2 MN/C

(c) Find the electric field 130 cmfrom the filament.
3 MN/C
(a) Find the electric field 10.0 cm from thefilament. Distances are measured perpendicular to the length of thefilament. (Take radially inward toward the filament as the positivedirection.)
1 MN/C

(b) Find the electric field 26.0 cmfrom the filament.
2 MN/C

(c) Find the electric field 130 cmfrom the filament.
3 MN/C

Explanation / Answer

Charge per unit length = -93 * 10 ^ -6 C / m (a). distance r= 10 cm =0.1 m electric field E = / ( 2r)   where = 8.85*10^-12 C ^ 2 / N m^2                       = 16.7247*10^6 N / C                       = 16.7247 MN / C (b). r = 26 cm =0.26 m electric field E = / ( 2r )                        =6.43* 10 ^ 6 N / C                        = 6.43 MN / C (c). r = 130 cm = 1.3 m electric field E = / (2r )                       = 1.286 MN / C

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