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lecture11 - 11 Lecture 11 11.1 Inductors A solenoid a part...

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11. Lecture 11 11.1 Inductors A solenoid a part of a circuit is also called an inductor. Its purpose is to store energy similarly to a capacitor. However it stores energy in a magnetic field as opposed to a capacitor which stores energy in an electric field. This makes its electrical characteristic di ff erent from the capacitor. Indeed, we know that the magnetic field produced inside the solenoid is given by B = μ 0 IN ˆ z (11.1) where N is the number of turns, is the length of the solenoid and I is the current. If the current changes, the magnetic field and therefore its flux changes (see fig65) producing a voltage between the terminals of the solenoid. Using Faraday’s law, Lenz law and looking at the figure we conclude that V a V b = ∆Φ t = NA | B | t = NAμ 0 N I t = L I t (11.2) where A is the cross section area of the solenoid. We defined the quantity L = μ 0 N 2 A (11.3) which is given in terms of the area A , the length and the number of turns. It is a property of the solenoid and is called the inductance. It is measured in Henrys (H):
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