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M6 - Phy sics 7B WS M6(rev 2.0 Page 1 M-6 Inductance...

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Physics 7B WS M6 (rev. 2.0) Page 1 M-6. Inductance Questions for discussion 1 . Consider a circular loop made of wire. The loop has a current generator, but initially the generator is turned off, so there is no current flowing in the loop. Now suppose we gradually turn up the generator, until there is a current i flowing in the loop. During the time when we are increasing the current, an induced voltage in the loop will tend to oppose the increase in current. Where does this “back-EMF” come from? 2 . Consider the coil of wire shown below. By means of a current generator, the current flowing through the coil is gradually increased at a rate of 3 mA/sec. As a result, a back-EMF of 12 V is induced in the coil.

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Physics 7B WS M6 (rev. 2.0) Page 2 a) What is the inductance of the coil? Next, the current generator is set to increase the current flowing through the coil at the slower rate of 1 mA/sec. b) What is the inductance of the coil now? c) What will be the back-EMF induced in the coil? d) What are some ways in which you could change the inductance of this coil?
Physics 7B WS M6 (rev. 2.0) Page 3 Problems 1 . In Problem 3 of Worksheet M-4, Ampère’s Law , you calculated the magnetic field created by a solenoid of length l and N turns, when the solenoid carries current i. (The solenoid’s length is compressed in this diagram.) a) If you can’t remember how to do this, now would be a good time to try it again.

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