Question

A conductor carrying current is placed in a magnetic field but no force is exerted to the conductor by the magnet. What may be the possible reason?

Answer 1

The general equation of a current carrying wire experiencing magnetic force is:

$\vec{F} = i ( \vec{L} \times \vec{B})$

$\implies | \vec{F} | = i \times L \times B \times \sin( \theta)$

• $\theta$ is the angle between L and B vectors.

Now, since the wire doesn't experience any force, the possibile reason can be:

• The value of $\theta$ = 0°, i.e. the length vector of the conductor is parallel to the magnetic field intensity vector.

$\implies | \vec{F} | = i \times L \times B \times \sin( {0}^{ \circ} )$

$\implies | \vec{F} | = i \times L \times B \times 0$

$\implies | \vec{F} | = 0$

Hope It Helps.