# Confusion regarding direction of induced current

I'm having trouble in applying Lenz's Law in the following problem.

Find the direction of induced current. Note-w.r.t means with respect to time, B with an upward arrow means it increases with respect to time.

I could find the induced current in the outer loop to be anti-clockwise as per Lenz's Law but my textbook says that the inner loop (smaller circle) will also have anti-clockwise current induced and the connecting wire will have no current induced. How is this possible?

The directions in the loops will be same.(the answer above says why and you should figure most of it out yourself for practice). The interesting part is why there is no current in the conneting wire. From faradays law, we know that if a circuit(mathematically defined as a contour of integration $C$) has non Zero rate of flux change through it, there is an induced emf in the chosen contour $C$. But note that in the figure, you cannot draw a non-self intersecting loop which includes the connecting wire. Or in other words, there exists no closed contour $C$ such that $w \in C$ where $w$ ,denotes the connecting wire. Thus there cannot be an emf across itz ends and therefore no current.