Two parallel vertical sheets of infinite extent carry surplus charge and are \(50 \mathrm{~mm}\) apart. Determine the magnitude and direction of the electric field in all regions of space 

(a) when each sheet has a uniform surface charge density \(\sigma=+3.0 \mathrm{nC} / \mathrm{m}^{2}\) 

(b) when \(\sigma=+3.0 \mathrm{nC} / \mathrm{m}^{2}\) for the left sheet and \(\sigma=-3.0 \mathrm{nC} / \mathrm{m}^{2}\) for the right sheet. 

(c) Draw a diagram showing the sheets and the electric field lines for the situations described in parts a and b .