The figure below shows a long straight wire just touching a circular loop carryi

Question

The figure below shows a long straight wire just touching a circular loop carrying a current I1 = 1.66 A in the counterclockwise direction. Both lie in the same plane.

(a) What direction must the current I2 in the straight wire have in order to create a magnetic field at the center of the loop in the direction opposite to that created by the loop?

from right to left

from left to right     

(b) What current must the long straight wire carry in order have zero net magnetic field strength at the center of the loop?

Explanation / Answer

a)

from left to right

b)

Given

Bwire=Bcenter

uoI1/2r=uoI2/2pir

I2=pi*1.66=5.215 A

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