Final answer:
The magnitude of the force on a finite current element of wire 2 due to the current in wire 1 is given by the equation F = I2 * I1 * B1.
Step-by-step explanation:
The magnitude of the force on a finite current element i2δl2 of wire 2 due to the current in wire 1 is given by the equation F = I2 * I1 * B1. Here, F represents the force, I1 is the current in wire 1, I2 is the current element in wire 2, and B1 is the magnetic field due to wire 1.
The magnitude of the force is calculated by the cross product of velocity and the magnetic field, given by q [ v × B ]. The resultant force is thus perpendicular to the direction of the velocity and the magnetic field, the direction of the magnetic field is predicted by the right-hand thumb rule.
The magnetic force on a current-carrying wire in a magnetic field is given by →F=I→l×→B. For part a, since the current and magnetic field are perpendicular in this problem, we can simplify the formula to give us the magnitude and find the direction through the RHR-1.12