A rectangular wire loop of size a = 40 cm and b = 50 cm rotates around the y axis with a constant angular velocity = 38 n radians/s in a constant 0.6 T magnetic field as shown in the Figure. At time t=0 s the loop is in the y-z plane. The resistance of the loop is R = 0.024 92. a. Find a formula that predicts the time dependence of the magnetic flux through the loop. b. Derive a formula for the emf induced in the loop as a function of time. c. When wt = n/2 what is the magnitude and direction of the current induced in the loop? Find the which energy is diseinated in the loon and the amount of energy diccinated per revolution

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A rectangular wire loop of size a = 40 cm and b = 50 cm rotates around the y axis with a constant angular velocity w = 38 n radians/s in a constant 0.6 T magnetic field as shown in the Figure. At time t = 0 s the loop is in the y-z plane. The resistance of the
loop is R = 0.024 92.
a. Find a formula that predicts the time dependence of the magnetic flux through the loop.
b. Derive a formula for the emf induced in the loop as a function of time.
c. When wt = n/2 what is the magnitude and direction of the current induced in the loop?
d. Find the rate at which energy is dissipated in the loop and the amount of energy dissipated per revolution.
Transcribed Image Text:B FO b b 1 (4) 2 (3) side view at t = 0 s TR 2 4 a 3 Z B y A rectangular wire loop of size a = 40 cm and b = 50 cm rotates around the y axis with a constant angular velocity w = 38 n radians/s in a constant 0.6 T magnetic field as shown in the Figure. At time t = 0 s the loop is in the y-z plane. The resistance of the loop is R = 0.024 92. a. Find a formula that predicts the time dependence of the magnetic flux through the loop. b. Derive a formula for the emf induced in the loop as a function of time. c. When wt = n/2 what is the magnitude and direction of the current induced in the loop? d. Find the rate at which energy is dissipated in the loop and the amount of energy dissipated per revolution.
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