Calculation of Magnetic Force on the Wire

The magnetic force on a wire can be determined using the formula:

F = BIL sinθ

Where:
- F is the magnetic force on the wire
- B is the magnitude of the magnetic field
- I is the current flowing through the wire
- L is the length of the wire
- θ is the angle between the direction of the current and the magnetic field

In this case:
- B = 2 T (the magnitude of the magnetic field)
- I = 3 A (the current flowing through the wire)
- L = 1 m (the length of the wire)
- θ = 90° (since the wire is placed perpendicular to the magnetic field)

Substituting these values into the formula:

F = (2 T) * (3 A) * (1 m) * sin(90°)

The sine of 90° is 1, so the formula simplifies to:

F = (2 T) * (3 A) * (1 m) * 1

Simplifying the equation:

F = 6 T.A.m

The unit of magnetic force is Newton (N), so we need to convert the value to Newton by multiplying it with the unit conversion factor.

1 T.A.m = 1 N

Therefore, the magnetic force on the wire is:

F = 6 N

Explanation:

When a wire carrying current is placed perpendicular to a magnetic field, a force is exerted on the wire. This force is known as the magnetic force and is given by the formula F = BIL sinθ. The magnitude of the magnetic force depends on the strength of the magnetic field (B), the current flowing through the wire (I), the length of the wire (L), and the angle between the current and the magnetic field (θ).

In this particular scenario, the wire is placed perpendicular to a uniform magnetic field with a magnitude of 2 T. The current flowing through the wire is 3 A, and the length of the wire is 1 m. As the wire is perpendicular to the magnetic field, the angle between the current and the field is 90°.

By substituting the given values into the formula, we find that the magnetic force on the wire is 6 N. This means that a force of 6 Newtons is being exerted on the wire due to the interaction between the current and the magnetic field.

It is important to note that the direction of the magnetic force is perpendicular to both the direction of the current and the direction of the magnetic field, according to the right-hand rule.