This question checks that you can use the formula of the electric field due to a long, thin wire with charge on it. The field due to an infinitely long, thin wire with linear charge E = density is 47€0 1214 Imagine a long, thin wire with a constant charge per unit length of -9.7x10-7 C/m. What is the magnitude of the electric field at a point 10 cm from the wire (assuming that th point is much closer to the wire's nearest point than to either of its ends)? Give your answer in units of kN/C.

The electric field produced by a linear charge density is given by the relation

$$\begin{gathered} E=\frac{\lambda }{2\pi {\epsilon }_{o}r} \\ \lambda is the linear charge density \\ r is the dis\tan ce from the center of the line to the point \end{gathered}$$

From the given problem

$$\begin{gathered} \lambda =-9.7\times 10^-7 C/m \\ r=10 cm=0.1 m \end{gathered}$$