Question

The force on a current-carrying wire is minimum when the current is moving at what angle to the magnetic field?

Answer 1

Answer:

Option A. 10 degrees

Explanation:

When a charged particle is placed magnetic field, it will possess magnetic force. The force acting on the particle is given by :

$F=ilB\sin\theta$

i and l are current and length of wire

Here,

$\theta$ is the angle between velocity and magnetic field.

The force is minimum when the value of $\sin\theta$ is minimum.

$\sin(10)=0.17\\\\\sin(30)=0.5\\\\\sin(45)=0.707\\\\\sin(90)=1$

It is clear that the value of sin(10) is minimum out of all other angles. So, the force on a current-carrying wire is minimum when the current is moving at what angle of 10 degrees to the magnetic field