(33%) Problem 2: A square loop of wire is next to an infinitely long straight wi
ID: 1864014 • Letter: #
Question
(33%) Problem 2: A square loop of wire is next to an infinitely long straight wire as shown in the figure; the distance between the loop and the wire is initially do. The current in the infinitely long wire is constant, but the loop is moving directly away from the wire at speed v. In other words, the distance, d, between the loop and the wire can be written as: p d=do + vt ? What is the magnitude of the induced EMF (in nV) in the rod at t cm/s, and I 0.22 A 3 s? The variables in this problem are: L-2.5 cm, do = 0.75 cm, v = 0.65 Grade Summary Deductions Potential 0% 100%Explanation / Answer
Induced emf E = rate of change of flux
= B1*L*v - B2*L*v
= [B1-B2]*Lv
= [u0i/2pid - u0i/(2pi d+L)]*Lv
= [2e-7*0.22/(0.75e-2 +0.65e-2*3) - 2e-7*0.22/(0.75e-2 +0.65e-2*3+2.5e-2)]*2.5e-2 * 0.65e-2
= 1.273*10^-10 V answer
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