U S) A long straight wire is oriented horizontally with a current of 2.55 A dire

Question

U S) A long straight wire is oriented horizontally with a current of 2.55 A directed to the right in the wire. A circular loop with 675 turns and a radius of 0.0155 m with its center located 0.0430 m from the wire with loop in the plane of the paper. The loop has a clockwise current of 1.65 A 2.55 A A) Indicate the direction of the magnetic field from the wire and the loop at the center of the loop in the figure. B) What is the magnitude and direction of the net magnetic field at the center of the loop? wire

Explanation / Answer

(A)Magnetic field due to wire and magnetic field due to the loop will be in downwards direction directed into the page. So total magnetic field due to these two will also be the sum of these two magnetic fields and their direction will be towards perpendicular to the page directed into the page.

(B)

B due to the wire at the centr of the loop = 0I/2*pi*r = 1.25*10-6*2.55/2*3.14*0.043= 1.186*10^-5 T

B due to the current in the coil , at the centr of the coil = 0nI/2r = 1.25*10-6*675*1.65/2*0.0155 = 0.04514 T

So total field B = 0.00001186 + 0.04514 = 0.04515 T

(C) B = 0nI/2r = 0.00001186 , so that field due to wire is cancelled

or I = 0.000433 A anticlockwise

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