The magnetic force acting on a charged particle of charge −2  μC in a magnetic field of 2 T acting in y direction, when the particle velocity is 2i^  +  3j^ ×  106  ms−1, is

The magnetic force acting on a charged particle of charge −2  μC in a magnetic field of 2 T acting in y direction, when the particle velocity is 2i^  +  3j^ ×  106  ms−1, is

  1. A

    8 N in -z direction

  2. B

    4 N in z direction

  3. C

    8 N in y direction

  4. D

    8 N in z direction

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    Solution:

    When a charge q moves with velocity v→ inside magnetic field of strength B→, then force on charge is called magnetic Lorentz force. The magnetic Lorentz force is in the direction of vector V→ × B→.

    Magnetic Lorentz force F→ =  q→ V→ × B→

    =− 2 ×  10−6  2  × 2 × 106 k^

    = 8 N along negative z-axis

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