An engineer arranges a selection of uniformly charged rings symmetrically around the x-axis so that the electric potential on the positive x-axis is V(x,0,0) = V0 ln[x/(L+x)], where V0 is in volts and x > 0 . A sketch of her arrangement is shown in the figure, where the z-axis points out of the screen. L and x are in units of meters.
An engineer arranges a selection of uniformly charged rings symmetrically around the x-axis so that the electric potential on the positive x-axis is
V(x,0,0) = V0 ln[x/(L+x)],
where V0 is in volts and x > 0 . A sketch of her arrangement is shown in the figure, where the z-axis points out of the screen. L and x are in units of meters.
a. Find an expression for the y-component of the electric field, Ey, on the positive x-axis.
b. Find an expression for the z-component of the electric field, Ez, on the positive x-axis.
c. Find an expression for the x-component of the electric field, Ex, on the positive x-axis.
d. Calculate the magnitude of the electric field, in volts per meter, at the observation point (xob = 4.05 m, 0, 0), with xob = 4.05 m, L = 2.75 m, and V0 = 1 V.
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