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The drawing below shows a copper wire (negligible resistance) bent into a circul

ID: 1781320 • Letter: T

Question

The drawing below shows a copper wire (negligible resistance) bent into a circular shape with a radius of 0.518 m B (Into paper Mre R C The radial section BC is fixed in place, while the copper bar AC sweeps around at a anglar speed of 14,1 rad/s. The bar makes electrical contact with the wire at all times. The wire and the bar have negligible resistance. Assume R-3.03 A uniform magnetic field exists everywhere, is perpendicular to the plane of the circle, and as a magnitude of 3.76E3T Calculatethe ma nitude of the current induced in the loop ABC

Explanation / Answer

emf induced in the bar AC,
E = Bwr2/2 where r is radus of ring or lenght AC, B is magnetic field and w is angular velcoity of rod
Current through resistor R,
I = E/R = Bwr2/2R = 2.35 mA

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