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(Solved): The figure shows a thin plastic rod of length L=18.7cm and uniform charge 16.2 fC . (a) In terms of ...



The figure shows a thin plastic rod of length L=18.7cm and uniform charge 16.2 fC . (a) In terms of distance d, charge density \lambda and \epsi _(0) find an expression for the electric potential at point P_(1). Next, substitute variable x for d and find an expression for the magnitude of the component E_(x) of the electric field at P_(1) (in terms of d and other variables). (b) What is the direction of E_(x) relative to the positive direction of the x axis? (c) What is the value of E_(x) at P_(1) for x=d=6.09cm ? (d) From the symmetry in figure determine E_(y) at P_(1). (a) V=(\lambda )/(4\pi \epsi _(0))ln(1+(d)/(L)) and E_(x)=(\lambda d)/(4\pi \epsi _(0)L(d+L)) V=(\lambda )/(2\pi \epsi _(0))ln(1+(L)/(d)) and E_(x)=(\lambda L)/(2\pi \epsi _(0)d(d+L)) V=(\lambda )/(2\pi \epsi _(0))ln(1+(d)/(L)) and E_(x)=(\lambda d)/(2\pi \epsi _(0)L(d+L)) V=(\lambda )/(4\pi \epsi _(0))ln(1+(L)/(d)) and E_(x)=(\lambda L)/(4\pi \epsi _(0)d(d+L)) (b) Number Units (c) Number Units (d) Number Units


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