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# Problem: A 5.10cm by 3.60cm rectangle lies in the xy-plane (a)- What is the electric flux through the rectangle if E = (120 i^ + 60.0 k^) N/C (b)-What is the electric flux through the rectangle if E = (120 i^ + 60.0 j^) N/C

###### FREE Expert Solution

Electric flux:

$\overline{){{\mathbf{\varphi }}}_{{\mathbf{E}}}{\mathbf{=}}{\mathbf{E}}{\mathbf{·}}{\mathbf{A}}}$

(a)

We also need to know the following:

$\overline{)\begin{array}{rcl}\mathbf{i}\mathbf{×}\mathbf{j}& {\mathbf{=}}& {\mathbf{k}}\\ \mathbf{i}\mathbf{·}\mathbf{k}& {\mathbf{=}}& {\mathbf{0}}\\ \mathbf{j}\mathbf{·}\mathbf{k}& {\mathbf{=}}& {\mathbf{0}}\\ \mathbf{k}\mathbf{·}\mathbf{k}& {\mathbf{=}}& {\mathbf{1}}\end{array}}$

Area, A:

$\begin{array}{rcl}\mathbf{A}& \mathbf{=}& \mathbf{\left(}\mathbf{5}\mathbf{.}\mathbf{10}\mathbf{×}{\mathbf{10}}^{\mathbf{-}\mathbf{2}}\mathbf{\right)}\mathbf{i}\mathbf{×}\mathbf{\left(}\mathbf{3}\mathbf{.}\mathbf{60}\mathbf{×}{\mathbf{10}}^{\mathbf{-}\mathbf{2}}\mathbf{\right)}\mathbf{j}\end{array}$

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###### Problem Details

A 5.10cm by 3.60cm rectangle lies in the xy-plane

(a)- What is the electric flux through the rectangle if E = (120 i^ + 60.0 k^) N/C

(b)-What is the electric flux through the rectangle if E = (120 i^ + 60.0 j^) N/C

What scientific concept do you need to know in order to solve this problem?

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