Electric Force Question and Spheres

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SUMMARY

The discussion focuses on calculating the net electric force acting on sphere A, which is one of three identically charged spheres (A, B, and C) each with a charge of +3.0 x 10-7 C, arranged in an equilateral triangle with sides of 30 cm. The user initially calculated the force using Coulomb's law, resulting in 1.56 x 10-2 N, but received feedback that this answer was incorrect. The consensus among participants indicates that the discrepancy arises from significant figures, suggesting the correct answer should be reported as 1.6 x 10-2 N.

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  • Basic knowledge of geometry, specifically properties of equilateral triangles
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delongk
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Three identically charged spheres A, B, and C, each with a charge of +3.0 * 10-7 C, are located at the corners of a triangle whose sides are 30 cm long and all the angles are 60 deg. What is the net force acting on sphere A?

I figured the X coordinates cancel each other out. For the Y:

kqAqB/r^2 cos 30 + kqAqC/r^2 cos 30

since all charges and sides are equal:
2(kq^2/r^2) cos 30

the answer I get is 1.56 *10^-2 but the website says that is not correct. Does anyone know what I am doing wrong??
 
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delongk said:
Three identically charged spheres A, B, and C, each with a charge of +3.0 * 10-7 C, are located at the corners of a triangle whose sides are 30 cm long and all the angles are 60 deg. What is the net force acting on sphere A?

I figured the X coordinates cancel each other out. For the Y:

kqAqB/r^2 cos 30 + kqAqC/r^2 cos 30

since all charges and sides are equal:
2(kq^2/r^2) cos 30

the answer I get is 1.56 *10^-2 but the website says that is not correct. Does anyone know what I am doing wrong??
Perhaps it is a problem with significant figures. Try 1.6 x 10^-2. Your method is correct.

AM
 
Andrew Mason said:
Perhaps it is a problem with significant figures. Try 1.6 x 10^-2. Your method is correct.

AM
I concur with Andrew. Since they gave the charge and length with two sig figs, they probably want you to give 1.6 x10^(-2) N.
 

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