$[1/4$ Points$]$

SERPSE$1024\mathrm{.}6\mathrm{.}0$P$\mathrm{.}028.$CTX$.$

You are working as an intern for a meteorological laboratory. You are out in the field taking measurements with a device that measures electric fields. You measure the electric field in the air immediately above the Earth's surface to be $118\frac{N}{C}$ directed downward. $($Assume the radius of the Earth is $6\mathrm{.}37{10}^{6}m.)$

$($a$)$ Determine the surface charge density $($in $\frac{C}{m^2})$ on the ground.

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Because you are very close to the Earth surface, model the ground as a flat plane of charge. $\frac{C}{m^2}$

$($b$)$ Imagine the surface charge density is uniform over the planet. Determine the charge $($in C $)$ of the whole surface of the Earth.

$532493\mathrm{.}12x$

Use the given ele

Use the given electric field of the Earth directly to find the charge, or find the charge from the charge density in part $($a$).$ C

$($c$)$ Determine the Earth's electric potential $($in V $)$ due to the charge found in $($b$).$

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The potential of the Earth should be negative if the charge on the Earth is negative. Is the electric field due to the Earth uniform over its entire radius? V

$($d$)$ Determine the difference in potential $($in V $)$ between the head and the feet of a person $1\mathrm{.}52$ m tall. $($Ignore any charges in the atmosphere.$)$

$$ v