An electron and a proton are fired in opposite directions, and at the instant they are nearest each other, their separation distance is \(3.0 \mu \mathrm{m}\) (Figure P28.84). At that instant, the two particles are both moving at \(3.0 \times 10^{4} \mathrm{~m} / \mathrm{s}\) but in opposite directions.

(a) Determine the magnitude and direction of the magnetic force exerted by the proton on the electron at this instant.

(b) Show that the ratio of the magnetic to electric forces at this instant equals \(v^{2} / c_{0}^{2}\), where \(v=3.0 \times 10^{4} \mathrm{~m} / \mathrm{s}\) and \(c_{0}\) is the speed of light.

Data from  Figure P28.74

Transcribed Image Text:

Figure P28.84 e3.0 m Op