An infinite line of charge produces a field of magnitude 4.90 ✕ 104 n/c at a distance of 1.9 m. calculate the linear charge density.

Question

Physics

Yadiel

9 February, 10:03

An infinite line of charge produces a field of magnitude 4.90 ✕ 104 n/c at a distance of 1.9 m. calculate the linear charge density.

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Brooks Paul · Answer 1

From Gauss law we have

E = 2kx/r where x=linear charge density, r=distance from the wire=1.7 m

k = 9 x 10^9 SI units ... we have been given E = 3.8 x 10^4 N/C ... so plugging numbers we get

x = 3.59 x 10^ - 6 C / M (coulomb per meter) = linear charge density