A rigid conducting loop has the shape of an equilateral triangle with sides a = 42 cm. Each side of the loop has a resistance of R = 3 W. An exterior torque forces the loop to rotate at constant speed at an angular rate of 7 cycles per second about its base, which coincides with the y-axis. A spatially uniform magnetic field oriented in +x direction has a constant magnitude B = 2 T. At t = 0, the loop lies in the x-y plane in the configuration show in the figure.
a) Compute the angular frequency in rad/s of the triangle.
w = rad/s
b) Compute the magnitude of the peak current that flows in the loop at any time.
Imax = A
c) Compute the magnitude of the current in the loop att = 0.32 s.
I = A
d) Compute the magnitude of the peak external torque required to keep the triangle moving at the specified constant angular frequency.
tmax = N-m