A rigid conducting loop has the shape of an equilateral trianglewith sides a = 4

Question

A rigid conducting loop has the shape of an equilateral trianglewith sides a = 42 cm. Each side of the loop has aresistance of R = 3 W. Anexternal torque forces the loop to rotate at constant speed at anangular rate of 7 cycles per second about its base, which coincideswith the y-axis. A spatially uniform magnetic fieldoriented in +x direction has a constant magnitudeB = 2 T. At t = 0, the loop lies in thex-y plane in the configuration show in thefigure.

(a) Calculate the angular frequency in rad/s of thetriangle.

w = rad/s    

(b) Calculate the magnitude of the peak current that flows inthe loop at any time.

Imax = A    

(c) Calculate the magnitude of the current in the loop att = 0.32 s.

I = A    

(d) Calculate the magnitude of the peak external torque requiredto keep the triangle moving at the specified constant angularfrequency.

tmax = N-m

Explanation / Answer

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