Infinite positively charged sheet 1 has uniform surface charge density (sigma_{1}=+4.0 mathrm{nC} / mathrm{m}^{2}) and is located

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Infinite positively charged sheet 1 has uniform surface charge density \(\sigma_{1}=+4.0 \mathrm{nC} / \mathrm{m}^{2}\) and is located in the \(y z\) plane of a Cartesian coordinate system. Infinite negatively charged sheet 2 is parallel to sheet 1 and has uniform surface charge density \(\sigma_{2}=-8.0 \mathrm{nC} / \mathrm{m}^{2}\). Sheet 2 is \(4 \mathrm{~m}\) to the right of sheet 1 along the \(+x\) axis.

(a) Determine the magnitude and direction of the electric field in all regions of space.

(b) Draw a diagram showing the locations of the two sheets, labeling the regions and drawing the field lines for each region.

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