Moving Charges and Magnetism - Result Question 70

71. A particle having charge $q$ moves with a velocity $\vec{v}$ through a region in which both an electric field $\vec{E}$ and a magnetic field $\vec{B}$ are present. The force on the particle is

[2002]

(a) $q \vec{E}+q(\vec{B} \times \vec{v})$

(b) $q \vec{E} \cdot(\vec{B} \times \vec{v})$

(c) $q \vec{v}+q(\vec{E} \times \vec{B})$

(d) $q \vec{E}+q(\vec{v} \times \vec{B})$

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Answer:

Correct Answer: 71. (d)

Solution:

  1. (d) Force due to electric field $=q \vec{E}$

Force due to magnetic field $=q(\vec{v} \times \vec{B})$

Net force experienced $=q \vec{E}+q(\vec{v} \times \vec{B})$