Question

A charged particle is projected along the axis of a current carrying loop. Which of the following statements is true?

विकल्प

• The acceleration of the charged particle will depend on the velocity with which it is projected.

• The acceleration of the charged particle will depend on the magnitude of the current passing through the coil.

• The acceleration of the charged particle will depend on the radius of the coil.

• The charged particle will move with constant velocity.

Answer 1

The charged particle will move with constant velocity.

Explanation:

A charged particle projected along the axis of a current-carrying loop experiences no magnetic force because:

`vecF = q(vecv xx vecB)`

Here, the velocity v is along the axis of the loop, and the magnetic field B produced by the loop is also along the axis.

Since v is parallel to B, the cross product becomes:

`vecv xx vecB = 0`

Thus, no magnetic force acts on the particle, so no acceleration occurs.

Therefore, the particle continues with constant velocity.