A wire 75cm long carrying a current of 6.0A toward the north passes through a uniform magnetic field. The magnitude of the force acting on the wire is 0.60N and is directed downward. What is the strengh and direction of the magnetic field?

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To find the strength and direction of the magnetic field, we can use the formula for magnetic force:

F = BIL

Where:
F is the force on the wire,
B is the magnetic field strength,
I is the current flowing through the wire, and
L is the length of the wire.

Given:
F = 0.60 N (force acting on the wire)
I = 6.0 A (current flowing through the wire)
L = 75 cm = 0.75 m (length of the wire)

Substituting the values we know into the formula, we get:

0.60 N = B × 6.0 A × 0.75 m

Rearranging the equation to solve for B:

B = 0.60 N / (6.0 A × 0.75 m)

B = 0.10 T (Tesla)

The strength of the magnetic field is 0.10 Tesla.

Since the force is directed downward, and the current is flowing toward the north, we can determine the direction of the magnetic field using the right-hand rule. According to the right-hand rule, if we align our thumb with the direction of the current (northward) and curl our fingers, the resulting curl of the fingers represents the direction of the magnetic field.

In this case, the fingers would be curling in the opposite (counterclockwise) direction around the wire. Therefore, the magnetic field points toward the west (perpendicular to the plane formed by the wire and the force).