Question: A thin wire of infinite extent has a charge per unit length of l. Using the cylindrical Gaussian surface shown in FIGURE 19-46, show that

A thin wire of infinite extent has a charge per unit length of l. Using the cylindrical Gaussian surface shown in FIGURE 19-46, show that the electric field produced by this 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 19-46

2 E field lines Cylindrical Gaussian surface

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