Answer to Question #319990 in Physics for carms

Question

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.

Answer 1

The electric field due to the linear charge

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

Hence, the required distance

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