How Much Current Flows in the Circular Loop When the Net Magnetic Field Is Zero?

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A long straight wire carrying a current of 0.75 A creates a magnetic field that interacts with a nearby circular loop also carrying current. For the net magnetic field at the center of the loop to be zero, the current in the loop must counteract the magnetic field produced by the straight wire. The user initially struggled to combine the relevant equations but later realized the solution was simpler than anticipated. The discussion highlights the relationship between the currents and their effects on the magnetic field. Understanding this interaction is crucial for solving similar physics problems.
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Homework Statement



A very long, straight wire carries a current of 0.75 A. This wire is tangent to a single-turn, circular wire loop that also carries a current. The directions of the currents are such that the net magnetic field at the center of the loop is zero. Both wires are insulated and have diameters that can be neglected. How much current is there in the loop?


Homework Equations



http://www.webassign.net/cutnell7e/art/math/cutnell3158c21/math069.gif
http://www.webassign.net/cutnell7e/art/math/cutnell3158c21/math083.gif

The Attempt at a Solution



all i have is a picture drawn of a straight wire with a circular wire loop next to it. i know the formulas but i can't figure out how to put them together
 
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never mind. i figured it out. it was easier then i was trying to make it. :)
 
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