Question #319990

2. A long straight wire has a charge per unit length of 3.00 x 10^-12 C/m. At what distance from the wire is the electric field equal to 0.600 N/c.


1
Expert's answer
2022-03-29T12:28:11-0400

The electric field due to the linear charge

E=λ2πϵ0rE=\frac{\lambda}{2\pi\epsilon_0 r}

Hence, the required distance

r=λ2πϵ0E=3.0010126.288.8510120.600=0.0900mr=\frac{\lambda}{2\pi\epsilon_0 E}=\frac{3.00*10^{-12}}{6.28*8.85*10^{-12}*0.600}=0.0900\:\rm m


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