4.7. In a rectangular coordinate system, a positively charged infinite sheet lies in the yz plane that intersects the x axis at x = 0.10 m. The surface charge density on the plane is +2.5 μC/m². (a) Describe (quantitatively) the electric field in the region x > 0.10 m. (b) Find the potential difference V12 between the points x1 = (0.20 m, 0, 0) and x2 = (0.50 m, 0, 0). (c) A +1.5 nC charged particle is initially at x2. How much work must an external agent do to move this particle to x₁? (d) Taking the potential to be zero at the sheet, draw three equipotential surfaces at 20 V intervals on each side of the plane, labeling each surface with its potential.

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