Electroscope App Homework: Measuring Cloud Charge & Estimating Plane Field

In summary, the conversation discusses the observation of a super huge strato-nimbo-cummulus storm cloud and the use of an "electroscope" App to measure its charge. The charge on the cloud is found to be +40C, which is explained to be a result of charge transfer. The conversation then moves on to sketching the charge distribution on the cloud and the Earth directly below it, and estimating the electric field at the position of an aircraft flying towards the cloud. This causes concern for the safety of the plane, but the conversation reassures that the electric field inside the plane can be calculated using the pythagorean theorem and the equation F=QE, and that the distribution of charges on the metal aircraft would not be
  • #1
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Homework Statement


As you are lying on the beach this past summer, you watch in awe as a super huge strato-nimbo-cummulus storm cloud roll in.
You pull out your iphone and use the "electroscope" App allowing you to measure the charge on the storm cloud. It reads +40C. You tell your bf/gf this and they say: "Wow that's a lot of protons!" You gently break the news about charge transfer and tell them exactly how many electrons have gathered on/left the cloud.
Meanwhile your friend has drawn a cloud in the sand. To impress (or annoy?) them, you add to their sketch the charge on the cloud AND the (induced) distribution of charge which accumulates on the Earth directly below the cloud.
While watching the cloud, you see an aircraft is flying towards the cloud. This freaks your friend out b/c they are concerned for the safety of the plane and the people on it - it turns out his/her mother is on the plane! You estimate that the bottom of the cloud is at an altitude of 2000-m and the plane is at 1000-m. Furthermore, the plane is 2000-m east of the cloud.
Sketching this in the sand, and treating the Earth and the cloud as point charges with equal but opposite charges (+40C for cloud and -40C for the earth) you find the electric field at the position of the plane. You add a sketch of the distribution of charges on the metal aircraft, but this just freaks your friend out even more. What would you say to reassure your friend if they are worried about the electric field inside the plane.

For this hand in please include the sand sketches and all the applicable calculations.



Homework Equations



F=QE E=kQ/r^2

The Attempt at a Solution



To be honest I'm not even sure where to start.
 
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  • #2


use the pythagorean theorem to calculate the radius, correct?

1000 below cloud, 2000 east

1000^2 + 2000^2 = r^2

you know k = 8.99E9

q1=40 q2 = −40, right?
 

1. What is an electroscope app?

An electroscope app is a tool that uses the internal sensors of a smartphone or tablet to measure the electric field and charge of an object or environment. It works by detecting changes in the device's orientation caused by the presence of an electric field.

2. How does an electroscope app work?

Electroscope apps work by utilizing the built-in sensors of a smartphone or tablet, such as the accelerometer and gyroscope, to measure changes in the device's orientation. These changes are then interpreted as changes in the electric field, which can be used to estimate the charge of an object or environment.

3. Can an electroscope app accurately measure cloud charge?

While an electroscope app can provide a rough estimate of the electric field and charge of a cloud, it may not be as accurate as traditional scientific instruments. Factors such as distance and interference from other objects can affect the accuracy of the measurements.

4. How can an electroscope app be used to estimate plane field?

An electroscope app can be used to measure the electric field and charge of an object or environment, which can then be used to estimate the plane field. By taking multiple measurements at different distances and angles, a more accurate estimate of the plane field can be obtained.

5. Is an electroscope app a reliable tool for scientific research?

While an electroscope app can provide useful information, it should not be relied upon as the sole source of data for scientific research. Other factors, such as the limitations of the device's sensors and potential sources of interference, should also be taken into consideration when using an electroscope app for research purposes.

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