Electric flux:

$\overline{){{\mathbf{\varphi}}}_{{\mathbf{E}}}{\mathbf{=}}{\mathbf{EAcos\theta}}}$

Electric flux through the left side:

$\begin{array}{rcl}{\mathbf{\varphi}}_{\mathbf{E}\mathbf{1}}& \mathbf{=}& \mathbf{E}\mathbf{\left(}\mathbf{\pi}{\mathbf{R}}^{\mathbf{2}}\mathbf{\right)}\mathbf{c}\mathbf{o}\mathbf{s}\mathbf{180}\mathbf{\xb0}\end{array}$

What is the net electric flux through the cylinder (a) shown in (Figure 1)?

Express your answer in terms of the variables *E*, *R*, and the constant π.

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