The electric field at a radial distance of 47.7 cm from the thin charged wire shown in Fig...

The electric field at a radial distance of 47.7 cm from the thin charged wire shown in Figure 19−36 has a magnitude of 35,400 N/C. (a) Using the result given in Problem 70, what is the magnitude of. the charge per length on this wire? (b) At what distance from the wire is the magnitude of the electric field equal to ?

Problem

A thin wire of infinite extent has a charge per unit length of λ. Using the cylindrical Gaussian surface shown in Figure 19−36, show that the electric field produced by tills wire at a radial distance r has a magnitude given by

Note that the direction of the electric field is always radially away from the wire.

FIGURE 19-36 Problem