An overhead power line carries I=50 A of current from right to left (as shown in

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An overhead power line carries I=50 A of current from right to left (as shown in the figure at right). You are standing a distance d=20 m below the line with a single square loop of wire measuring 1 m on each side, and you wish to ?borrow? some of this electricity. (a) Which way should you orient your loop to get the maximum magnetic flux passing through it: normal pointing sideways (A), up (B) or in the same direction as the wire (C)? (b) What is the magnitude of the magnetic flux passing through your loop, assuming it is oriented as in part (a) above? (Assume that the magnetic field strength is approximately constant within your loop, since it is small relative to the distance from the wire.) (c) The current in the power line reverses direction after a time ?t=1/60th of a second. (It is AC current.) What is the magnitude of the induced emf (voltage) in your loop? [Hint: what happened to the angle between the B-field and the normal?] (d) What is the direction of the induced current in your loop? (e) Suppose you wanted to start your car using this ?free? power. How many loops would you have to hold up if you wanted to obtain a voltage of 12 V? (f--BONUS!) Starting a car also requires a lot of current. What would the resistance of your coil have to be, if you needed to ?borrow? 60 A of current this way? Would this be practical? (Hint: Consider wire thickness, assuming a good conductor such as copper or aluminum.)

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