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An electron moving with a velocity 5 xx ...

An electron moving with a velocity `5 xx 10^(6)ms^(-1)hati` in the uniform electric field of `5 xx 10^(7)Vm^(-1)hatj` Find the magnitude and direction of a minimum uniform magnetic field in tesla that will cause the electron to move undeviated along its original path .

Text Solution

Verified by Experts

The correct Answer is:
`10hatk`
`oversetrarrF = q (oversetrarrE + oversetrarrV xx oversetrarrB) implies oversetrarrE + oversetrarrB = 0 implies oversetrarrE = oversetrarrB xx oversetrarrV`
`5 xx 10^(7) hatj =oversetrarrB x 5 xx 10^(6) hati`
`oversetrarrB = 10 hatk` .
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