Map sapling learning There are two identical, positively charged conducting sphe

Question

Map sapling learning There are two identical, positively charged conducting spheres fixed in space. The spheres are 38.2 cm apart (center to center) and repel each other with an electrostatic force of Fi 0.0735 N. Then, a thin conducting wire connects the spheres, redistributing the charge on each sphere. When the wire is removed the spheres still repel but with a force of F 0.115 N. Using this information, find the initial charge on each sphere, q1 and q2 if initially q1 q2. The Coulomb Force constant is k ATT 8.99 x 109 N m2/C2. Number Number

Explanation / Answer

Start with the second part. The spheres are identical, so when they are connected by a conductor, they end up with equal charges. Use F2 and the distance to calculate that charge q3.

Similarly, from F1 you can calculate the product of q1 and q2. The conducting wire does not change the total charge of the system, so the sum q1 + q2 must be the same as q3 + q3.

Now that you know the product and sum of the two variables, you can set up simultaneous equations and solve

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