When a charged particle moving with velocity v is subjected to a magnetic field of induction B , the force on it is non-zero. This implies that

JIPMER 2008

JIPMER 2008 · Physics · Magnetic Effects of Current

When a charged particle moving with velocity v is subjected to a...

When a charged particle moving with velocity

\overrightarrow{\mathbf{v}}

is subjected to a magnetic field of induction

\overrightarrow{\mathbf{B}}

, the force on it is non-zero. This implies that

Aangle between $\overrightarrow{\mathbf{v}}$ and $\overrightarrow{\mathbf{B}}$ is necessarily $90^{\circ}$
Bangle between $\overrightarrow{\mathbf{v}}$ and $\overrightarrow{\mathbf{B}}$ can have any value other than $90^{\circ}$
Cangle between $\overrightarrow{\mathbf{v}}$ and $\overrightarrow{\mathbf{B}}$ can have any value other than zero and $180^{\circ}$
Dangle between $\overrightarrow{\mathbf{v}}$ and $\overrightarrow{\mathbf{B}}$ is either zero or $180^{\circ}$

C. angle between $\overrightarrow{\mathbf{v}}$ and $\overrightarrow{\mathbf{B}}$ can have any value other than zero and $180^{\circ}$

When a charged particle

q

is moving in a uniform magnetic field

\overrightarrow{\mathbf{B}}

with velocity

\overrightarrow{\mathbf{v}}

such that angle between

\overrightarrow{\mathbf{v}}

and

\overrightarrow{\mathbf{B}}

\theta

, then due to interaction between the magnetic field produced due to moving charge and magnetic force applied, the charge

q

experiences a force which is given by

F=q v B \sin \theta

\theta=0^{\circ}

180^{\circ}

, then

\sin \theta=0

\therefore \quad F=q v B \sin \theta=0

Since, force on charged particle is non-zero, so angle between

\overrightarrow{\mathbf{v}}

and

\overrightarrow{\mathbf{B}}

can have any value other than zero and

180^{\circ}

. Note : Force experienced by the charged particle is Lorentz force.