4. A single square loop of wire is placed in the center of a large solenoid as shown. The solenoid has a radius of 5.00 cm and the square loop is 3.00 cm on a side. The solenoid is 0.20 cm long and wound with 200 turns of wire. (a) If the current in the solenoid is 3.00 A, what is the flux through the square loop? (b) If the current in the solenoid drops to zero in 0.500 s, what is the magnitude of the average induced emf in the square loop? 5. To monitor the breathing of a hospital patient a thin flexible belt is put around the patient's chest. The belt is a 200 turn coil. When the patient inhales the area of the belt increases by 38.0 cm2. The Earth's magnet field is 50 JT and makes a 280 angle with the plane of the coil. If the patient takes 1.50 s to inhale find the magnitude of the average induced emf in the coil