What is the potential energy of a system of two charges +q and +q separated by a

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Question: What is the potential energy of a system of two charges +q and +q separated by a distance r?

Options:

Correct Answer: k*q²/r

Solution:

Potential energy U = k * (q1 * q2) / r = k * (q * q) / r = k*q²/r.

What is the potential energy of a system of two charges +q and +q separated by a distance r?

What is the potential energy of a system of two charges +q and +q separated by a distance r?

Step 1: Identify the formula for the potential energy (U) between two charges. The formula is U = k * (q1 * q2) / r.
Step 2: Recognize that in this case, both charges are the same, +q and +q. So, we can replace q1 and q2 with q.
Step 3: Substitute q1 and q2 in the formula with q. This gives us U = k * (q * q) / r.
Step 4: Simplify the equation. Since q * q is the same as q², we can rewrite the equation as U = k * q² / r.
Step 5: Conclude that the potential energy of the system of two charges +q and +q separated by a distance r is U = k * q² / r.

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