Question

This problem is again a warm up for the next one. We have looked at the field due to two parallel plates, the left with a negative surface charge density of -6.0 C/m2 while the sheet on the right has a positive surface charge density of +9.0 C/m2. Suppose the plates were spaced 0.0020 m apart. We found that, independent of this distance, . In I the net field points to the left and has magnitude Enetl1.69 x 1011 N/C. . In region II, between the plates, the field has magnitude 8.47 × 1011 N/C and points to the left In III it points to the right and has magnitude Et 1.69 x 1011 N/C. (a) Plot qualitatively correct E(x) and V(x) graphs, setting V-0 at the left (negatively charged) plate and letting x be the distance from the left plate, with positive x to the right. Use positive values for E if it points to the right and negative if it points to the left. Your plot should include the range of x from-0.002 m to +0.004 m. Check that the direction and size of the slope of your V graph is consistent with your E graph values(b) In what direction would a positive test charge be pushed in each region? Discuss from the point of view of field and from the point of view of voltage. (c) What would a negative test charge do in each region? (d) How would your graph change if you chose V-0 to be at the positive plate? Draw the graph (e) What is the potential difference (AV) between the plates?

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