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FinnZ [79.3K]
3 years ago
13

Suppose that the electric field in the Earth's atmosphere is E = 131 N/C, pointing downward. Determine the electric charge (in C

) in the Earth. (Assume the electric field is measured at the surface of the Earth. Include the sign of the value in your answer.) Hint
Physics
1 answer:
alisha [4.7K]3 years ago
6 0

Answer:

the electric charge in the Earth is -5.91 × 10⁵ C

Explanation:

Given the data in the question;

Electric field E = 131 N/C

we know that; radius of the earth r = 6,371 km = 6371000 m

and Coulomb's constant k = 8.99 × 10⁹ Nm²/c²

Now, using the following formula to calculate the charge;

E = k × Q/r²

we make Q the subject of the formula

Q = Er² / k

so we substitute

Q = [ 131 N/C × ( 6371000 m )² ] / 8.99 × 10⁹ Nm²/c²

Q = [ 5.317242971 × 10¹⁵ ] / [ 8.99 × 10⁹ ]

Q = 5.91 × 10⁵ C

Since the electric field pointing downward

Q = -5.91 × 10⁵ C

Therefore,  the electric charge in the Earth is -5.91 × 10⁵ C

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