An electron moves through a region of crossed electric and magnetic fields. The electric field E = 3059 V/m and is directed straight down. T

Question

An electron moves through a region of crossed electric and magnetic fields. The electric field E = 3059 V/m and is directed straight down. The magnetic field B = 1.14 T and is directed to the left. For what velocity v of the electron into the paper will the electric force exactly cancel the magnetic force?

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Thiên Hương 5 years 2021-08-30T00:34:19+00:00 1 Answers 26 views 0

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  1. binhan
    0
    2021-08-30T00:35:46+00:00
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    Answer:

    v = 2683.33 m/s

    Explanation:

    The magnetic force and the electric force on the electron must be the same, in order for them to cancel each other:

    Electric\ Force = Magnetic\ Force\\Eq = qvBSin\theta \\\\v = \frac{E}{BSin\theta}

    where,

    v = velcoity of electron = ?

    E = Electric Field = 3059 V/m

    B = Magnetic Field = 1.14 T

    θ = Angle between velocity and magnetic field = 90°

    Therefore,

    v = \frac{3059\ V/m}{(1.14\ T)Sin90^o}

    v = 2683.33 m/s

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