Direction of current in smaller loop on the left and on the right

[Jenny Physics]

Homework Statement

Consider a large circular loop of current such that the magnetic field on its axis points in the positive direction. Imagine another much smaller circular loop lying parallel to the larger one and to the left of it. What is the direction of the induced current? If the smaller loop lies to the right of the larger loop will the induced current be in the same direction?

Relevant Equations

Lenz Law

Lets say the current in the larger loop is counterclockwise. Then it doesn't matter if the smaller loop is to the right or to the left of the larger one, the induced current in it will always be clockwise. The magnetic field due to the smaller loop current always points in the negative direction. Or will the direction of the current change?

 

[kuruman]

The answer depends on whether the current in the larger loop is increasing, decreasing or staying the same as well as on whether it is clockwise or counterclockwise.