Loop Loop Problem 1. Faraday's Law Two loops of the same radius are held near a...
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Loop Loop Problem 1. Faraday's Law Two loops of the same radius are held near a solenoid. Both loops are the same distance from the end of the solenoid and are the same distance from the axis of the solenoid. The coils of the solenoid are wound so that the current in them circulates counterclockwise when viewed from above in the figure below. (a) The resistance of loop 2 is greater than that of loop 1 (they are made of different materials) 1. Is there a current induced through the wire of either of the loops: (i) Before the switch is closed? Explain. (ii) Just after the switch is closed? Explain. (iii) A long time after the switch is closed? Explain. 2. For the period of time that there is a current induced through the wire of the loops, find the direction of the current. 3. The ratio of the induced currents for the two loops is found by experiment to be equal to the the inverse of the ratio of the resistances of the loops. What does this imply about the ratio of the induced emf in loop 1 to the induced emf in loop 2? (b) Suppose that loop 2 were replaced by an insulating loop. 1 1. Would there still be an emf in the loop? 2. Would there still be a current induced in the insulating loop? (c) Suppose that loop 2 were removed completely. Consider the circular path that the wire of loop 2 used to occupy. 1. Would there still be an emf along the path? Explain 2. Would there still be a current along the path? Explain. Loop Loop Problem 1. Faraday's Law Two loops of the same radius are held near a solenoid. Both loops are the same distance from the end of the solenoid and are the same distance from the axis of the solenoid. The coils of the solenoid are wound so that the current in them circulates counterclockwise when viewed from above in the figure below. (a) The resistance of loop 2 is greater than that of loop 1 (they are made of different materials) 1. Is there a current induced through the wire of either of the loops: (i) Before the switch is closed? Explain. (ii) Just after the switch is closed? Explain. (iii) A long time after the switch is closed? Explain. 2. For the period of time that there is a current induced through the wire of the loops, find the direction of the current. 3. The ratio of the induced currents for the two loops is found by experiment to be equal to the the inverse of the ratio of the resistances of the loops. What does this imply about the ratio of the induced emf in loop 1 to the induced emf in loop 2? (b) Suppose that loop 2 were replaced by an insulating loop. 1 1. Would there still be an emf in the loop? 2. Would there still be a current induced in the insulating loop? (c) Suppose that loop 2 were removed completely. Consider the circular path that the wire of loop 2 used to occupy. 1. Would there still be an emf along the path? Explain 2. Would there still be a current along the path? Explain.
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