Question

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

10 degrees
30 degrees
45 degrees
90 degrees

Answer 1

Option A. 10 degrees

Step-by-step 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