Physics 1 Problem Solutions 249

Physics 1 Problem Solutions 249 - Chapt. 32 Inductance and...

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Unformatted text preview: Chapt. 32 Inductance and Inductors 245 13. Consider an infinite ladder inductor. There are two terminals A and B at the left: A is the upper terminal; B is the lower terminal. From each terminal, a wire extends to infinity in the rightward direction. There are vertical wires at equal intervals connecting the A wire and the B wire: these are the rungs of the ladder. On each vertical wire (each rung) is an inductor of inductance L 2 . On the A wire before each node (going rightward) is an inductor of inductance L 1 . The branch inductors are ideal inductors and have no mutual inductances. Draw a diagram. What is the inductance L of the infinite ladder (i.e., what is the inductance of the infinite ladder viewing A and B as the leads to an effective inductor)? As Yoda would say, HINT you want? If you draw a vertical line just to the right of leftmost rung, the inductance of the ladder to the right of that line must be L also since the ladder is infinite....
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