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When a charged particle moves in a magne...

When a charged particle moves in a magnetic field, does its kinetic energy always remain constant? Explain.

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The force on moving charged particle in a magnetic field, `vecF=q(vecvxxvecB)` is always perpendicular to `vecv` and `vecB`. Thus
work done `=FS cos 90^@=0`.
This means that a uniform magnetic field can do no work on charged particle although it can change its direction of motion. Hence the kinetic energy of charged particle in a magnetic field remains unchanged.
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Knowledge Check

  • When a charged particle enters a uniform magnetic field its kinetic energy

    A
    remains constant
    B
    increased
    C
    decreases
    D
    becomes

  • When a charged particle enters a uniform magnetic field its kinetic energy

    A
    Remains constant
    B
    Increases
    C
    Decreases
    D
    Becomes zero

  • When a charged particle moves perpendicular to a magnetic field, then:

    A
    speed of the particles is changed
    B
    speed of the particle remains unchanged
    C
    direction of motion of the particle remains unchanged
    D
    acceleration of the particle remains unchanged

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