Question

The force acting on a charge q moving with a velocity V in a magnetic field of induction B is given by :

• A. $\frac{q}{\overrightarrow{V}\times \overrightarrow{B}}$
• B. $\frac{\overrightarrow{V}\times \overrightarrow{B}}{q}$
• C. $q(\overrightarrow{V}\times \overrightarrow{B})$
• D. $(\overrightarrow{V}.\overrightarrow{B})q$

Answer 1

Answer: (C)

$q(\overrightarrow{V}\times \overrightarrow{B})$

The magnetic force on a free moving charge is perpendicular to both the velocity of the charge and the magnetic field with direction given by the right hand rule . The force is given by the charge times the vector product of velocity and magnetic field.