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A positive charge +q travels with velocity v = 3î + 4ĵ + k̂ in a region where the electric field is E = 3î + ĵ + 2k̂ and the magnetic field is B = î + ĵ − 3k̂. What is the y-component of the force acting on the charge?
- 11 q
- 5 q
- 3 q
- 2 q
Correct answer: 11 q
Solution
v x B = (3,4,1) x (1,1,-3) = (-13,10,-1). E + v x B = (-10,11,1). The force is q times this, so the y-component is 11q.
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