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In a certain region of space, electric f...

In a certain region of space, electric field `vecE` and magnetic field `vecB` are perpendicular to each other. An electron enters in the region perpendicular to the direction of both `vecB & vecE` and moves undeflected. Find the velocity of electron.

Text Solution

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Net force an electron moving in the combined electric field `vecE` and magnetic field `vecB` is `vecF = - e [vecE + vecv xx vecB]`
Since electron moves undeflected then `vecF = 0 vecE + (vecv xx vecB) = 0 `
`|vecE| = (|vecv| xx | vecB|) rArr |vecv| = (|vecE|)/(|vecB|) `
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