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Figure below shows two current segments. The lower segment carries current i1 =

ID: 2226177 • Letter: F

Question

Figure below shows two current segments. The lower segment carries current i1 = 0.59 A and includes a circular arc with radius 5.5 cm, angle 180?, and center point P. The upper segment carries current i2 = 2i1 and includes a circular arc with radius 4.4 cm, angle 120?, and the same center point P. What are the (a) magnitude and (b) direction (into the page - show "1", otherwise - "0") of the net magnetic field beta for the indicated current directions? What are the (c) magnitude and (d) direction (into the page - show "1", otherwise - "0") of bETA if i1 is reversed?


Need parts A and C

Explanation / Answer

a)

B = B1 - B2

   = -i11/(4R1) + i22/(4R2)

   = -4*3.14e-7*0.59*(3.14)/(4*3.14*0.055) + 4*3.14e-7*2*0.59*(2*3.14/3)/(4*3.14*0.044)

   = 2.25 * 10^-6 T

c)

B = B1 - B2

   = i11/(4R1) + i22/(4R2)

   = 4*3.14e-7*0.59*(3.14)/(4*3.14*0.055) + 4*3.14e-7*2*0.59*(2*3.14/3)/(4*3.14*0.044)

   = 8.98 * 10^-6 T

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