A copper wire (negligible resistance) is bent into a circular shape with a radiu

Question

A copper wire (negligible resistance) is bent into a circular shape with a radius of 0.478 m. The radial section BC is fixed in place, while the copper bar AC sweeps around at an angular speed of 15.9 rad/s. The bar makes electrical contact with the wire at all times. The wire and the bar have negligible resistance. Assume R = 3.19 . A uniform magnetic field exists everywhere, is perpendicular to the plane of the circle, and has a magnitude of 3.54E-3 T. Calculate the magnitude of the current induced in the loop ABC.

Explanation / Answer

radius of 0.478 m

R = 3.19 .

magnitude of 3.54E-3 T

angular speed of 15.9 rad/s

E=-B(deltaA/deltat)

deltaA/deltat= (1/2)r^2w

E=B(1/2)r^2w

E = 3.54E-3*(1/2)*0.478^2*15.9

E = 6.430*10^-3

I=E/R

I = 6.430*10^-3 / 3.19

I = 2.015*10^-3A

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