A beam of electrons is sent in the positive x-direction in a region with a uniform magnetic field B in the positive y-direction and a unifor

Question

A beam of electrons is sent in the positive x-direction in a region with a uniform magnetic field B in the positive y-direction and a uniform electric field E in the positive z-direction.

At which of the following speeds would the electrons be deflected in the positive z-direction?

a. v > E/B

b. v = E/B

c. v < E/B

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Hải Đăng 5 years 2021-07-24T02:58:48+00:00 1 Answers 133 views 0

Answers ( )

  1. thuthao
    0
    2021-07-24T03:00:38+00:00
    Reply

    Answer:

    The speed of electron is v = \frac{E}{B}

    Option (b) is correct.

    Explanation:

    Given:

    A beam of electrons is sent in the positive x-direction in a region with a uniform magnetic field B in the positive y-direction and a uniform electric field E in the positive z-direction.

    Electric force is given by :

    ⇒    F = qE

    Magnetic force is given by :

    ⇒    F = q (v \times B)

          F = qvB

    Compare both the forces,

     qvB = qE

        v = \frac{E}{B}

    Therefore, the speed of electron is v = \frac{E}{B}

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