What Is the Magnitude and Sign of Earth's Electric Charge?

AI Thread Summary
The discussion centers on determining the magnitude and sign of Earth's electric charge based on its electric field strength, which is approximately 100 N/C directed towards the center. To find the charge, the formula for the electric field due to a point charge is applied, treating Earth's charge as concentrated at its center. The radius of the Earth is noted as 6,378.1 kilometers. The direction of the electric field lines indicates that they originate from positive charges and terminate at negative charges, suggesting that Earth has a negative charge. The conversation emphasizes using the electric field equation to calculate the charge effectively.
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I am having trouble doing this question.

Measurements indicate there is an electric field surrounding the earth. Its magnitude is about 100 N/C at the Earth's surface and points to the centre of the earth. What is the magnitude of the electric charge on the earth? Is it positive or negative?
(Hint: The electric field caused by a uniformly charged sphere is the same as if the entire charge were concentrated at its centre)
 
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Look in your book and find out which direction field lines point. Do they leave positive charges and end on negative charges? Or vice versa?

- Warren
 
but how do I find the magnitude of the electric charge on earth?
I don't have enought information
 
Use the definition of the field due to a point charge. Pretend that all of the Earth's charge is concentrated at a point at the center of the earth. The Earth's radius is 6,378.1 kilometers.

E = \frac{1}{4 \pi \epsilon_0} \frac{q}{r^2}

- Warren
 
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