Q.

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

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a

8 N in -z direction

b

4 N in z direction

c

8 N in y direction

d

8 N in z direction

answer is A.

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Detailed 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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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