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A particle of charge $q$ moves with velocity $\vec{v}$ in a uniform magnetic field $\vec{B}$. The force $\vec{F}$ acting on the particle is given by which expression?
- A.$\vec{F} = q(\vec{v} + \vec{B})$
- B.$\vec{F} = q(\vec{v} \times \vec{B})$
- C.$\vec{F} = q(\vec{v} \cdot \vec{B})$
- D.$\vec{F} = q(\frac{\vec{B}}{\vec{v}})$
Show correct answer & step-by-step solution
Correct answer: B — $\vec{F} = q(\vec{v} \times \vec{B})$
Solution
The magnetic Lorentz force on a moving charge is defined by the vector cross product of velocity and magnetic field. The formula is .
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