The force acting on a wire that is at right angles to a(n) 0.80 T magnetic field is 2.1 N. The current in the wire is 6.7 A. How long is the wire?
To find the length of the wire, we can use the equation that relates the force on a wire in a magnetic field to the current and length of the wire. The equation is given as:
F = BIL
where:
- F is the force acting on the wire
- B is the magnetic field strength
- I is the current flowing through the wire
- L is the length of the wire
From the given information, we know that the force (F) is 2.1 N, the magnetic field (B) is 0.80 T, and the current (I) is 6.7 A. We need to solve for L.
Rearranging the equation to solve for L:
L = F / (BI)
Substituting the given values into the equation:
L = 2.1 N / (0.80 T * 6.7 A)
Calculating the result:
L = 0.313 m
Therefore, the length of the wire is 0.313 meters.