Large enough to ionize air (mainly molecular nitrogen and oxygen). The ionized air can then conduct electrons between the cloud and ground.
charges (electrons).
For this problem, just consider the negative line of charge, that is the free electrons.
Remember you can use WolframAlpha, Matlab, Mathematica, or a calculator to perform the integral.
Note: the potential due to both lines of charge is zero, as there are equal amounts of positive charge (ions) and negative charge (electrons).
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U_(E)=
Lightning occurs when
I below. The resulting strong electric field between the cloud and the ground is
If we take a particular moment in time (or a *snapshot) of a lightning bolt, we could model it as two lines of charge. One comprised of very massive positively charged ions and the other comprised of very light negative charges (electrons). For this problem, just consider the negative line of charge, that is the free electrons.
Height of the building.
Height of the
Distance to the building
If we pick a small bolt 16.7 C from a low cloud at 848 m above the ground, what would be the electric potential at the top of a 228 m tall building that is 443 m away from the bolt due to the negative line of charge alone? Remember you can use WolframAlpha, Matlab, Mathematica, or a calculator to perform the integral.
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If we take the same situation and place a charged balloon with charge 4.57x10^7 C on the top of the building, what would be the electric potential energy of a system including only the negative line of charge and the balloon? UEE
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