An electron and a proton have parallel velocities v_p and v_e (below left). Dete

Question

An electron and a proton have parallel velocities v_p and v_e (below left). Determine the direction of the magnetic force on the electron due to the proton and determine the direction of the magnetic force on the proton due to the electron. Are these directions opposite each other? In other words, do they seem to satisfy Newton's 3rd Law? (In this case, the magnitudes of both forces are the same.) This time we have three protons traveling with velocity v_p along a straight line and an electron with velocity v_e which is perpendicular to that line (below right). The dots represent the exact locations of the charges. Determine the direction of the magnetic force on the electron due to each proton. Then determine the direction of the magnetic force on each proton due to the electron. This time the forces between each pair of charges are clearly not in opposite directions. The point is that Newton's 3rd Law is not necessarily satisfied for forces which depend upon velocity!

Explanation / Answer

2.a The direction of magnetic force on electron due to proton is toward right and the direction of magnetic force on proton due to electron is towards left ..Yes they are opposite

Yes they satisfy newton third law

(b) direction of force on left proton due to electron is towards left while on right proton is towards right and on middle proton is zero since there is no magnetic field due to electron at this point

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