How Does Lenz's Law Explain Magnetic Field Directions?

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Lenz's Law helps determine the direction of magnetic fields generated by current-carrying wires. The magnetic field direction is out of the page for one wire and into the page for another due to the right-hand rule, which states that the thumb points in the direction of current and fingers curl in the direction of the magnetic field. If the wire's direction changes, the magnetic field direction reverses accordingly. For an infinite straight wire, the magnetic field is always perpendicular to both the wire and the distance from it. Understanding these principles clarifies how magnetic fields behave around wires.
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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)
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None equation
Screen Shot 2021-12-27 at 4.02.06 PM.png

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

1640639811841.png


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.
 
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