Solving Electric Field Strength at Aircraft in Cloud: 1.03357e8 + 2.64009e9

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An airplane flying through a cloud at 2100M is analyzing the electric field strength at two heights: the top of the cloud at 4100M and the bottom at 500M. Calculations using Coulomb's law initially yielded values of 1.03357e8 for the top and 2.64009e9 for the bottom. However, the error arose from not squaring the distances in the formula E=kq/r^2, which is crucial for accurate results. Proper placement of parentheses in calculations is also emphasized to avoid mistakes. The discussion highlights the importance of careful mathematical execution in physics problems.
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AN airplane is flying through a cloud. The airplane is at 2100M and the top height of the cloud is 4100M @ 23 C. The bottem of the cloud is 500m @-47 C. What is the strength of the electric field E at the aircraft.

Now I broke it up into to parts, for the top of the cloud and the bottem.

Top of the cloud:

Using coulumbs law: 8.98755 x 10^9* 23/ 4100-2100) = 1.03357e8

Bottem of the cloud:

8.98775 x 10^9 * 47/ 2100-500 = 2.64009e9

I added both of those up and i submited my answer and it said it was wrong. Can anyone aid me?
 
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The distance should be squared.

Also, make sure you put your parentheses in the right place. I assume that you are actually typing the numbers into your calculator correctly, but just be careful.

8.98775 * 10^9 * 47 / 2100 - 500

is not the same as

(8.98775 * 10^9 * 47) / (2100 - 500)

- Warren
 
Originally posted by Spectre32

I added both of those up and i submited my answer and it said it was wrong. Can anyone aid me?
Assuming that the charged clouds can be treated as point sources of the electric field: use E=\frac{kq}{r^2}. (You forgot to square your distances.)
 
crap... wow I'm so retarded thanks a lot doc
 
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