Along, straight wire carries a current of 8.60 a. an electron is traveling in the vicinity of the wire. part a at the instant when the electron is 3.90 cm from the wire and traveling with a speed of 5.00×104 m/s directly toward the wire, what is the magnitude of the force that the magnetic field of the current exerts on the electron?

First of all, we need to calculate the magnetic field generated by the wire at a distance r=3.90 cm=0.039 m, which is given by:

where I=8.60 A is the current. Substituting numbers in the equation, we find

And now we can calculate the force exerted on the electron, which is given by:

where is the charge of the electron and is its speed. Substituting data in the formula, we find

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