Question

A loop of wire with radius R lies in the xy-plane and carries a time varying current I(t) I, sin(ot). A smaller loop of wire with radius a lies in the xy-plane at the center of the larger loop. Assume that radius of the smaller loop is much smaller that the radius of the larger loop, a<<lR a) (10 points) At the center of the large loop calculate the magnitude and direction of the magnetic field B(t) due to the current in the large loop. b) (5 points) Calculate the flux through the small loop ?(1)-ffB.da. c) (10 points) What is the magnitude of the emf (or "voltage") induced on the inner loop of wire? d) (5 points) At time 0 the current flowing in the smaller loop of wire is: i) flowing in the same direction as indicated by ? ii) flowing in the opposite direction as indicated by ? ii) there is no current flowing at time 0. (Explain your answer) (p Loop of wire with radius a

Answer 1

e radius o -the larg, lop, a<<R TTR o 47 R 47T ? R rea main Em

2. k TI a 2 R At timeto, the Cutrent flawing i in the Smallar recion OpPobe- it OPPO시 vect on Current