Please help me with these choose the best answers since I'm not sure of my answers.

A current element produces a magnetic field in the region surrounding it. at any point in space, the magnetic field produced by this current element points in a direction that is
a) radial from the current element to the point in space.
b) parallel to the current element;
c) perpendicular to the current element and to the radial direction.

I think it's c.

the magnetic force cant do work on a charged particle since the force is always perpendicular to the velocity. How then can magnets pick up nails? Consider two parallel current carrying wires. The magnetic fields cause attractive force s between the wires so it appears that the magnetic filed due to one wire is doing work on the other wire. How is this explained?
a) the magnetic force can do no work on isolated charges; this says nothing about the work it can do on charges confined in a conductor.
b) since only an electric field can do work on charges, it is actually the electric field doing work here.
c) This apparent work is due to another typo of force.

I pick c again.

For the first question, the correct answer is actually b) parallel to the current element. The magnetic field produced by a current element forms concentric circles around the element, and the direction of the magnetic field lines is parallel to the current flow.

For the second question, the correct answer is a) the magnetic force can do no work on isolated charges; this says nothing about the work it can do on charges confined in a conductor. The statement that the magnetic force is always perpendicular to the velocity of a charged particle is true for isolated charges. However, when charges are confined to a conductor, the magnetic field can do work on them indirectly through interactions with the current-carrying wire. This is known as the magnetic force between parallel current-carrying wires, which creates an attractive force between them.

So, the correct answers are b) and a) for the first and second questions, respectively. It's important to carefully analyze the concept being discussed to arrive at the correct answer.

For the first question, the correct answer is b) parallel to the current element. The magnetic field produced by a current element is always in the same direction as the current element itself.

For the second question, the correct answer is a) the magnetic force can do no work on isolated charges; this says nothing about the work it can do on charges confined in a conductor. The magnetic force acts perpendicular to the velocity of a charged particle, which means it cannot do work on isolated charges. However, in the case of current-carrying wires, the charges are confined within the wires and moving along with the wires, so the magnetic field can do work on those charges.

So the correct answers are b) and a) respectively.