You and your group are a team of storm chasers tracking a massive thundercloud moving across the plains and into the mountains beside the town of Lakeview. You grab your handy-dandy high voltage probe (like this one) and radio, then drive from your headquarters 250 m until you are directly under the storm cloud. Thankfully, your team already calibrated the voltmeter to 0 V when the storm cloud was very far away. From your training, you know that if the electric field is bigger than 3 MV/m (also called the dielectric breakdown of air), the air will become a conductor and lightning will strike. You need to determine if a) you are safe from lightning under the thundercloud and b) if the lightning rod on top of the storm-chaser headquarters will be hit. The master storm chaser and part-time civil engineer, Edric Storm, tells you that the storm-chaser headquarters is 200 m tall.

The team back at headquarters has just received a call from the National Weather Service (https://www.weather.gov/) that they want you to take some additional data on this cloud. Apparently some of the properties of this cloud are particularly interesting, specifically due to the fact that the cloud is moving Northward, not typical of most clouds in this geographical region (see some discussion of this here if you're interested). For the moment, the winds have died down and the cloud isn't moving.

The Super-Mega-Storm-Cloud-Meter 9000^TM, standing 30 m tall, operates by collecting data from the cloud using a series of satellite dishes planted on the ground that monitor the cloud as it moves and develops/deteriorates, sort of like a fancy digital multimeter. There is only one problem: the equipment you are going to use to collect said data is extremely sensitive, specifically to electric field interferences. In order to collect useful data, it must be properly calibrated to the source of interest. The field team has already set up the device below the cloud 250 m away from HQ. In order to calibrate this instrument, a computer based model of the electric field of the cloud needs to be built and sent to the measuring device's main computer located with the field team. This alleviates any background “noise” in the data caused by satellite dishes, cell phones, camera equipment, power lines, transformers, interference with any residual charges in the ground, etc.Thankfully, your team has a template for building these computer models.

## Scene Setup
scene = display(width=1000, height = 1000)

## Parameters
ec = 1.6e-19
k = 9e9

## Objects
cloud = sphere(pos=vec(0,3500,0), color=color.white, radius=100)
ground = box(pos = vec(0,0,0), width=5000, length=5000, height=0.1, color=vec(1,0.7,0.2))
HQ = box(pos = vec(-250,100,0), width = 10, length=10, height=200, color=color.green)
detector = box(pos = vec(0,30,0), width = 5, length=5, height=3, color = color.white)

#Step 1: Make one E-Field Arrow
E = vec(0,0,0)
field = arrow(pos=detector.pos, axis = E, color = color.yellow)


#Step 2: Make multiple E-field Arrows
starting_point=-200

while starting_point<200:
    
    E=vec(0,0,0)
    field = arrow(pos=detector.pos, axis = E, color = color.yellow)
    
    starting_point=starting_point+150

Complete the computer model that will calibrate the Super-Mega-Storm-Cloud-Meter 9000^TM to the cloud's electric field at the position of measurement. The Super-Mega-Storm-Cloud-Meter 9000^TM will also need to be calibrated for a variety of electric field positions to the North and the South of its operation point once it has been properly programmed for its stationary position. This is to set a baseline for collecting data as the cloud begins moving.

Using Python

Getting Started with Glowscript

Common Commands in Python