1. What is the approximate magnitude of the electric fieldbetween the charge cen

Question

1. What is the approximate magnitude of the electric fieldbetween the charge center and the ground? 2.What is the approximate capacitance of the chargecenter-ground system?                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             

Explanation / Answer

Potential difference (V) between charge center and ground =4.0*108 V Separation (d) between charge center and ground = 10 km =1.0*104m (a) THe magnitude of the electric field between the charge centerand ground is                    E = V / d                       = (4.0*108 V) / (1.0*104m)                       = 4.0*104V/m (b) Area (A) of sphere is A = r2                                    = ()(0.5km)2                                      =()(500m)2                                     = 7.85*105m2 Then the capacitance of the charge center-ground systemis                     C = Ao / d                         =(7.85*105m2)(8.85*10-12C2/N.m2)/ (1.0*104m)                         = 6.95*10-10F

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