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Exercise 1: As the bar in Figure below moves to the right, an electric field is set up directed downward in the bar. Explain why Exercise 2: The bar in Figure below moves on rails to the right with a velocity v, and the uniform, constant magnetic field is directed out of the page. Why is the induced current clockwise? If the bar were moving to the left, what would be the direction of the induced current? Exercise 3: Explain why an applied force is necessary to keep the bar in Figure in exercise 2 moving with a constant speed. Exercise 4: Wearing a metal bracelet in a region of strong magnetic field could be hazardous. Explain. Exercise 5: Find the direction of the current in the resistor in Figure below (a) at the instant the switch is closed, (b) after the switch has been closed for several minutes, and (c) at the instant the switch is opened. Exercise 6: A 50-turn rectangular coil of dimensions 5.00 cm X 10.0 cm is allowed to fall from a position where B = 0 to a new position where B = 0.500 T and the magnetic field is directed perpendicular to the plane of the coil. Calculate the magnitude of the average emf that is induced in the coil if the displacement occurs in 0.25s Exercise 7: A flat loop of wire consisting of a single turn of crosssectional area 8.00 cm2 is perpendicular to a magnetic field that increases uniformly in magnitude from 0.500 T to 2.50 T in 1.00 s. What is the resulting induced current if the loop has a resistance of 2.00 Ω. Exercise 8: A 25-turn circular coil of wire has diameter 1.00 m. It is placed with its axis along the direction of the Earth’s magnetic field of 50.0 µT, and then in 0.200 s it is flipped 180°. An average emf of what magnitude is generated in the coil? Exercise 9: A strong electromagnet produces a uniform magnetic field of 1.60 T over a cross-sectional area of 0.200 m2. We place a coil having 200 turns and a total resistance of 20.0 Ω around the electromagnet. We then smoothly reduce the current in the electromagnet until it reaches zero in 20.0 ms. What is the current induced in the coil? Exercise 10: A magnetic field of 0.200 T exists within a solenoid of 500 turns and a diameter of 10.0 cm. How rapidly (that is, within what period of time) must the field be reduced to zero, if the average induced emf within the coil during this time interval is to be 10.0 kV? Exercise 11: A coil of 15 turns and radius 10.0 cm surrounds a long solenoid of radius 2.00 cm and 1.00 X 103 turns/meter (Fig. below). The current in the solenoid changes as I =(5.00 A) sin(120t). Find the induced emf in the 15-turn coil as a function of time. Exercise 12: Find the current through section PQ of length a = 65.0 cm in Figure below The circuit is located in a magnetic field whose magnitude varies with time according to the expression B= (1.00 X 10-3 T/s)t. Assume the resistance per length of the wire is 0.100 Ω/m.