Current induced in loop - treat like a solenoid?

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Homework Statement

A long straight wire lies below to a circuluar loop of wire. The straight wire is carrying a constant 10A current to the right. What is the magnitude and direction of the current in the circular loop, if its diameter is 1 m and its center is 0.75m away from the wire

Homework Equations

B = u i / 2pir

B = u i N for solenoid

The Attempt at a Solution

B = ui/2pir
since current in wire is traveling right and the loop is above the wire, the magnetic field on the loop is going to be coming out of the screen, I'm going to assume that the magnetic field is uniform, using the distance from the center as the radius, even though.. that is probably a bad assumption?

so the current will travel counterclockwise

can't figure out how to find the magnitude though! should i be treating it like a solenoid, and plug in the magnetic field to get a current?

 

[member 553083]

B = ui/2pir = (4pix10^-7)(10)/2pi(0.75)= 0.213 TB = uiN N = 4pix0.75/2pi = 0.47 turnsI = B/uN= (0.213 T)/(4pix10^-7 x 0.47 turns)= 2.71 A