A wire carrying a 20.0–A current passes between the poles of a strong magnet that is perpendicular to its field and experiences a 2.47–N force on the 3.10 cm of wire in the field. What is the average field strength?
To find the average field strength in teslas (T), you can use the formula:
B = F / (I * L)
where:
B is the magnetic field strength,
F is the force experienced by the wire,
I is the current passing through the wire, and
L is the length of the wire perpendicular to the magnetic field.
In the given problem, the force (F) experienced by the wire is 2.47 N, the current (I) passing through the wire is 20.0 A, and the length of the wire (L) in the magnetic field is 3.10 cm.
First, we need to convert the length from cm to meters, as the SI unit of length is meters. There are 100 centimeters in one meter, so:
L = 3.10 cm * (1 m / 100 cm) = 0.0310 m
Now substitute the given values into the formula:
B = 2.47 N / (20.0 A * 0.0310 m)
Calculate the average field strength:
B ≈ 4.011 T
Therefore, the average field strength is approximately 4.011 teslas (T).