(Solved): A high-voltage power line with a radius of a=1[cm] is at a height of h=50[m] above the ground ...

A high-voltage power line with a radius of $$a=1[\mathrm{cm}]$$ is at a height of $$h=50[\mathrm{m}]$$ above the ground (measured from the center of the line), which may be approximately modeled as an infinite ground plane. Assume that the voltage of the power line is $$v(t)=100,000\cos (?t)[\mathrm{V}]$$ Find the electric field vector at a point on the earth directly below the power line. Assume that the frequency $$?=2?f$$ is low enough so that at any instance of time, the electric field vector $$\underline{E}(x,y,t)$$ is that same as in a static problem, if you replace $$V_0$$ in the static solution with $$v(t)$$. This assumption should be accurate when all dimenisons are small compared with a wavelength. Note: You may use any equation that was already drived in the class notes, but make sure that you give proper reference in your solution to where you took it from!