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Two moving charged particles exert forces on each other because each one creates a
Chapter 6, Problem 18(choose chapter or problem)
Two moving charged particles exert forces on each other because each one creates a magnetic field in which the other moves (see 4.6). These two forces are proportional to v1 [v2 r] and v2 [v1 (r)] where r is the vector joining the particles. By using (3.9), show that these forces are equal and opposite (Newtons third law) if and only if r (v1 v2) = 0. Compare 14.
Questions & Answers
QUESTION:
Two moving charged particles exert forces on each other because each one creates a magnetic field in which the other moves (see 4.6). These two forces are proportional to v1 [v2 r] and v2 [v1 (r)] where r is the vector joining the particles. By using (3.9), show that these forces are equal and opposite (Newtons third law) if and only if r (v1 v2) = 0. Compare 14.
ANSWER:Step 1 of 2
Using the identity of the triple vector product
Now we have:
