This is a Field Theory Question

Question 3 (8 points) N R + Q__ emf X B(t) A single-turn conducting loop lies in the xy-plane with its centre at the origin, as shown in the figure above. The loop has a radius of a = 0.4 m and has an internal resistance of R; = 0.5 2. It is connected to an external resistor with a resistance of R = 100 0. An external time-varying magnetic field is applied, given by B(t) = Bo(yly-z12) cos wt Wb/m For Bo = 6 Wb/m , y1 = 8 m, z1 = 7 m, and w = 3x10' rad/s, find the magnetic flux linking the loop. Use this to find the induced emf Vemf, and then use this to find the induced current I. At cot = 3n/6, what is the magnitude of the current / ? (Write your answer to 2 decimal places) Your Answer: Answer units