How Does Lenz's Law Explain Magnetic Field Directions?

[bluesteels]

Homework Statement

The current I in a long, straight wire is constant and is directed
toward the right as in Fig. E29.16. Conducting loops A, B, C, and D are moving, in the directions shown, near the wire. (a) For each loop, is the direction of the induced current clockwise or counterclockwise, or is the induced current zero? (b)

Relevant Equations

None equation

This the images of the figure. I am confused on why is the magnetic field for the top wired is out and the bottom is in. Is that the general rule??

Moreover what if the wired is point to the left instead of right is the magnetic field still out of the page.

 

[Orodruin]

You can find which way the magnetic field points using an appropriate right hand rule.

For an infinite straight wire, the magnetic field is always perpendicular to the wire itself and to the separation from the wire. If you change the direction of the current, the direction of the field will also be reversed.