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25 October, 04:24

An electron travels with speed 6.0*10^6 m/s between the two parallel charged plates shown in the figure. The plates are separated by 1.0 cm and are charged by a 200 Volt battery.

What magnetic field strength will allow the electron to pass between the plates without being deflected?

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  1. 25 October, 05:19
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    B = 3.33 m T

    Explanation:

    Given that

    Speed, C = 6 x 10⁶ m/s

    d = 1 cm = 0.01 m

    V = 200 V

    The electric field E given as

    V = E. d

    E=Electric field

    d=Distance

    V=Voltage

    200 = 0.01 x E

    E=20000 V/m

    The relationship between magnetic and electric field given as

    E = C x B

    20000 = 6 x 10⁶ x B

    B = 3333.333 x 10⁻⁶ T

    B = 3.33 x 10⁻³ T

    B = 3.33 m T

    Therefore the magnetic filed will be 3.33 m T.
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