The force on a wire is a maximum of 6.00\times 10^{ - 2} {\rm{N}} when placed between the pole faces of a magnet. The current flows horizontally to the right and the magnetic field is vertical. The wire is observed to "jump" toward the observer when the current is turned on.
F = I•B•L•sinα,
If sinα =1
F = I•B•L
To explain why the wire jumps towards the observer when the current is turned on, we need to understand the interaction between a current-carrying wire and a magnetic field.
When a current flows through a wire, it creates a magnetic field around it. This magnetic field interacts with an external magnetic field (in this case, the vertical magnetic field between the pole faces of a magnet) and produces a force on the wire.
The direction of the force on the wire is determined by the right-hand rule. If we point the thumb of our right hand in the direction of the current, and the fingers in the direction of the magnetic field, then the palm will indicate the direction of the force experienced by the wire.
In this case, the current flows horizontally to the right, and the magnetic field is vertical. When we use the right-hand rule, we find that the force will be directed towards the observer. This is why the wire jumps towards the observer when the current is turned on.
Now, let's calculate the magnitude of the force experienced by the wire. The maximum force on the wire is given as 6.00 × 10^(-2) N.
The force on a current-carrying wire in a magnetic field can be calculated using the formula:
F = I * B * L
Where:
F is the force on the wire
I is the current
B is the magnetic field
L is the length of the wire
In this case, the force F is given as 6.00 × 10^(-2) N.
Assuming the length of the wire is 1 meter (since it is not specified in the question), we can rearrange the formula to solve for the magnetic field B:
B = F / (I * L)
Plugging in the given values, we have:
B = (6.00 × 10^(-2) N) / (I * 1 m)
We are not given the value of the current, but if it is provided, you can substitute it into the equation to find the magnitude of the magnetic field B.