Awire is oriented along the x-axis. it is connected to two batteries, and a conventional current of 2.4 a runs through the wire, in the +x direction. along 0.27 m of the length of the wire there is a magnetic field of 0.62 tesla in the +y direction, due to a large magnet nearby. at other locations in the circuit, the magnetic field due to external sources is negligible. what is the magnitude of the magnetic force on the wire?

Explanation:

To calculate the force we need to use this equation

where L is the total length of the wire

So in this case the small element of current is

Because x is the direction of the current flow.

As is said in the problem B is such that

so to use the equation above we first calculate the following cross product:

so the force:

So here we use the fact that B=0 in any point of the x axis that is not , that means that we only need to do the integration between a very short distant behind the point and a very short distant after that point, meaning:

so is the same as evaluating at

that is:

answer: decibel

explanation: