A long straight wire carries a certain current and produces a magnetic $$field2$$×$$10-4$$ Weber $$m2$$ at a perpendicular distance of $$5$$ cm from the wire. An electron situated at $$5$$ cm from the wire moves with a velocity $$107m/s$$ towards the wire along perpendicular to it. The force experienced by the electron will be (charge$$ on electron $$1.6$$×$$10-19C)

Question

A long straight wire carries a certain current and produces a magnetic $$field2$$×$$10-4$$ Weber $$m2$$ at a perpendicular distance of $$5$$ cm from the wire. An electron situated at $$5$$ cm from the wire moves with a velocity $$107m/s$$ towards the wire along perpendicular to it. The force experienced by the electron will be (charge$$ on electron $$1.6$$×$$10-19C)

Infinity Learn · Accepted Answer

The situation is as shown in the figure. Here, $$v=107$$ $$m/s$$,$$B=2$$×$$10-4$$ $$Wb/m2$$  The magnitude of the force experienced by the electron is $$F=evBsin$$θ  $$($$∴v→ and B are perpendicular to each $$other)$$ $$=evBsin90$$° $$=1.6$$×$$10-19$$×$$107$$×$$2$$×$$10-4$$×$$1$$ $$=3.2$$×$$10-16$$ N

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