80. Let q1denote the charge at y= dand q2denote the charge at y= –d. The individual magnitudes GE1and GE2are figured from Eq. 22-3, where the absolute value signs for qare unnecessary since these charges are both positive. The distance from q1to a point on the xaxis is the same as the distance from q2to a point on the xaxis: rxd=+22.By symmetry, the ycomponent of the net field along the xaxis is zero. The xcomponent of the net field, evaluated at points on the positive xaxis, is Eqxdxxdx=FHGIKJ+FHGIKJ+FHGIKJ21402222πεwhere the last factor is cosθ= x/rwith θbeing the angle for each individual field as measured from the xaxis. (a) If we simplify the above expression, and plug in
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Complex number, 1 m, Emax, absolute value signs