Question

The electrostatic force \( \mathbf{F_1} \) and magnetic force \( \mathbf{F_2} \) acting on a charge \( q \) moving with velocity \( v \) can be written as:

• A. \( \vec{F_1} = q \vec{v} \cdot \vec{E}, \vec{F_2} = q(\vec{B} \cdot \vec{v}) \)
• B. \( \vec{F_1} = q \vec{B}, \vec{F_2} = q(\vec{B} \times \vec{v}) \)
• C. \( \vec{F_1} = q \vec{E}, \vec{F_2} = q(\vec{v} \times \vec{B}) \)
• D. \( \vec{F_1} = q \vec{E}, \vec{F_2} = q(\vec{B} \times \vec{v}) \)

Hint:

The Lorentz force is the combination of electrostatic and magnetic forces acting on a charge.

Answer 1

The Correct Option is C

{Understanding the Forces} 
The electrostatic force on a charge \( q \) is given by: \[ \vec{F_1} = q \vec{E} \] The magnetic force on a moving charge is given by: \[ \vec{F_2} = q (\vec{v} \times \vec{B}) \] Thus, the correct answer is (C).