A wire that is 46 cm long is parallel to a 0.54 T uniform magnetic field. The current through the wire is 4.5 A. What force acts on the wire?
Huh? cross product is zero
Huh! Cross product is zero.
look at
http://hyperphysics.phy-astr.gsu.edu/%E2%80%8Chbase/magnetic/forwir2.html
Note here sin theta = 0 so no force
In your other problems theta is not zero.
To calculate the force acting on the wire, you can use the formula for the force on a current-carrying wire in a magnetic field. The formula is as follows:
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
You already have the values for B (0.54 T), I (4.5 A), and L (46 cm). However, it is generally best to convert all units to the SI unit system for consistency. So, let's convert the length from centimeters to meters.
Length (L) = 46 cm = 46/100 m = 0.46 m
Now, we can plug in the values into the formula:
F = (0.54 T) * (4.5 A) * (0.46 m)
Calculating this gives us the force acting on the wire.