Current flowing through a loop due to an infinite wire

[eatsleep]

Homework Statement

An infinitely long wire carrying a 1 A current in the positive x direction is placed along the x-axis in the vicinity of a 5-turn circular loop located in the x-y plane as shown in the figure. If the magnetic field at the center of the loop is 0, what is the direction and magnitude of the current flowing in the loop?

Homework Equations

Biot-Savat Law for the loop and amperes law for the wire

The Attempt at a Solution

I can calculate the magnetic field in the wire using amperes law, and same for the loop using the biot savat but if the magnetic field in the center is 0 is there any current flowing?

 

[berkeman]

Homework Statement

An infinitely long wire carrying a 1 A current in the positive x direction is placed along the x-axis in the vicinity of a 5-turn circular loop located in the x-y plane as shown in the figure. If the magnetic field at the center of the loop is 0, what is the direction and magnitude of the current flowing in the loop?

Homework Equations

Biot-Savat Law for the loop and amperes law for the wire

The Attempt at a Solution

I can calculate the magnetic field in the wire using amperes law, and same for the loop using the biot savat but if the magnetic field in the center is 0 is there any current flowing?

To induce a current in the loop, there would have to be an AC current flowing in the wire. Can you post a scan of the actual problem statement and diagram?