47. III FIGURE P30.47 shows a 1.0-cm-diameter loop with R = 0.50 inside a 2.0-cm-diameter solenoid. The solenoid is 8.0 cm long, has 120 turns, and carries the current shown in the graph. A pos- itive current is cw when seen from the left. Determine the current in the loop at t=0.010 s. 2.0 cm FIGURE P30.47 1.0 cm Isol (A) 0.5- I 0.01 0.02 t(s) -0.5 5.0 F 20 V 2.0 2.0 cm FIGURE P30.52 ww 10.5 cm 1.0 cm 10 cm 10 cm FIGURE P30.53 10 m/s X X XX B=0.80 T X X X X X 53. The square loop shown in FIGURE P30.53 moves into a 0.80 T CALC magnetic field at a constant speed of 10 m/s. The loop has a resistance of 0.10 2, and it enters the field at t = 0 s. a. Find the induced current in the loop as a function of time. Give your answer as a graph of I versus t from t=0s to t = 0.020 s. b. What is the maximum current? What is the position of the loop when the current is maximum? 5.0 cm Zero-resistance wires 0.20 T Push 2.00 Crank 0.50 m/s 0.50 T 1.0 2/4.0 W bulb FIGURE P30.56 FIGURE P30.57 57. The 10-cm-wide, zero-resistance slide wire shown in FIGURE P30.57 is pushed toward the 2.0 resistor at a steady speed of 0.50 m/s. The magnetic field strength is 0.50 T. a. How big is the pushing force? b. How much power does the pushing force supply to the wire? c. What are the direction and magnitude of the induced current? d. How much power is dissipated in the resistor?