Question

Suppose 42.5 cm of wire is experiencing a magnetic force of 0.75 N. △50% Part (a) What is the angle in degrees between the wire and the 1.2 T field if it is carrying a 6.5 A current?

Answer 1

The angle between the wire and the 1.2 T field is approximately 13.7 degrees.

Step-by-step explanation:

To find the angle between the wire and the magnetic field, we can use the formula:

F = BILsinθ

Where F is the magnetic force, B is the magnetic field, I is the current, L is the length of the wire, and θ is the angle between the wire and the field.

Plugging in the given values:

0.75 N = (1.2 T)(6.5 A)(0.425 m)sinθ

Solving for θ:

sinθ = 0.75 N / (1.2 T)(6.5 A)(0.425 m)

θ = arcsin(0.75 N / (1.2 T)(6.5 A)(0.425 m))

Calculating this on a calculator gives us an angle of approximately 13.7 degrees.