A velocity selector consists of electric and magnetic fields described by the expressions e with arrow = e k and b with arrow = b ĵ, with b

Question

A velocity selector consists of electric and magnetic fields described by the expressions e with arrow = e k and b with arrow = b ĵ, with b = 22.0 mt. find the value of e such that a 850-ev electron moving in the negative x direction is undeflected.

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Gerda 4 years 2021-08-02T07:32:42+00:00 1 Answers 54 views 0

Answers ( )

  1. thienthi
    0
    2021-08-02T07:34:30+00:00
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    Answer:

    380.38 kV/m

    Explanation:

    We are given that

    Electric field=E

    Magnetic field,B=22 mT=22\times 10^{-3} T

    1mT=10^{-3} T

    K.E=850e V=850\times 1.6\times 10^{-19} J

    Charge on electron,q=1.6\times 10^{-19} C

    Mass of electron,m=9.1\times 10^{-31} kg

    Speed of electron,v=\sqrt{\frac{2K.E}{m}

    v=\sqrt{\frac{2\times 850\times 1.6\times 10^{-19}}{9.1\times 10^{-31}}}

    v=17.29\times 10^6 m/s

    E=vB=17.29\times 10^6\times 22\times 10^{-3}=380.38\times 10^3 V/m=380.38KV/m

    1 kV=10^3 V

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