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5. Now you wish to find out the relationship between the electric potential Vat point in the vicinity of a point charge q and the

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5. Now you wish to find out the relationship between the electric potential Vat point in the vicinity of a point charge q and the distance r between the charge and the point you choose. To investigate the relationship between V and r, you come with a model V = Ar" where A and n are constant. Using the blue tool on the simulation, measure the potential at various distance from a particular charge, say ? =+ , and record V and r in the following table. +2 nC was used Electric Potential (V) Distance (r) (Volt) (m 1 55.96 0.302 2 40.22 0.413 3 24.03 0.705 4 15.62 1.13 5 10.86 1.644 6 8.168 2.203 7 6.653 2.7136. Plot two graphs (1) V versus r and (2) Logo versus Logo . Using your second graph, calculate the value for A and n. The equation for the voltage at point from a charge is V = kq given by "' . So, in your model A must be equal to ^ and n must be equal to -1 . Do you agree? Calculate the percent error for A and n that you calculate from your graph comparing the theoretical value *.4 (= 44.9 for 9=+5 nc ) and =-1 .|

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