Your answer is partially correct. Try again. Figure (a) shows two wires, each ca

Question

Your answer is partially correct. Try again. Figure (a) shows two wires, each carrying a current. Wire 1 consists of a circular arc of radius R 0.023 m and two radial lengths; it carries current i1 = 2.2 A in the direction indicated. Wire 2 is long and straight; it carries a current i2 that can be varied; and it is at distance R/2 from the center of the arc. The net magnetic field due to the two currents is measured at the center of curvature of the arc. Figure (b) is a plot of the component of ModifyingAbove Upper B With right-arrow in the direction perpendicular to the figure as a function of current i2. The horizontal scale is set by i2s 1.0 A. What is the angle subtended by the arc? 0h) Number1.8181 Units rad

Explanation / Answer

Solution) R=0.023

i1=2.2A

i2=1A

R'=R/2

Angle theeta=?

We have magnetic field(curved wire)

B1=(i1/4(pi))(integral(dl×R)/R^2)

B1=(i1/4(pi))integral( Rd(theeta)/R^2)z

B1=i1theeta/(4×pi×R) along z

We have magnetic field for straight wire

Integral B2dl=i2

2(pi)(R/2)B2=i2

B2=(i2/(pi×R))(-z)

As seen direction is out of page in z direction so they cancel

i1(theeta)/(4×pi×R)=i2/(pi×R)

Theeta=4i2/i1

Theeta=4×1/2.2

Theeta=1.818 rad

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