III.) In a thunderstorm, the top of the cloud layer is negatively charged, and the bottom acquires a positive charge. We will model our clouds as infinite rectangles of charge, each having a thickness of / km. The charge density p = 3.0 nC/m and is constant throughout the clouds. The distance between the bottom of the top cloud layer and the top of the bottom cloud layer is 4 km. 1 km -p 4 km 1 km +p (a) Draw the top rectangular layer of charge in your blue book. Draw the electric field lines from the top cloud layer (only!) in the space above and below the layer. (b) Draw an appropriate Gaussian surface that will allow you to calculate the electric field in the space above and below the top layer. Do not worry about calculating the electric field within the cloud, or the effects of the bottom layer. (c) For your Gaussian surface, calculate the enclosed charge, and use Gauss's Law to calculate the magnitude of the electric field outside the top layer. (d) Now, assuming the bottom layer is identical to the top (except it holds positive charge rather than negative), calculate the potential difference between top and bottom layers. Make sure you include the electric fields from both layers where appropriate. This is the voltage that would be carried by a lightning strike between the two layers