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Download IRSE Green Book No.7 Signal Control Circuits (British by Institution of Railway Signal Engineers (IRSE) PDF

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Additional info for IRSE Green Book No.7 Signal Control Circuits (British Practice) Rev 1968

Sample text

3) as volt over ampere: 1 Ω¼ 1 V 1 A ð2:4Þ The resistance is the linear passive circuit element. Resistance values vary typically between 1 Ω and 100 MΩ. The reciprocal of the resistance is the conductance, G: G¼ 1 R ð2:5Þ The unit of conductance, ΩÀ1, is called siemens (S) in honor of Ernst Werner von Siemens (1816–1892), a German inventor and the founder of what is today Europe’s largest electrical engineering company (Siemens AG). An older American equivalent of that unit is mho ( ) or ohm spelled backwards!

I-19 Chapter 1 From Physics to Electric Circuits transformer shown in Fig. 10d operates with alternating currents. One mechanical analogy is a gear transmission or gearbox. In terms of angular speed ω [rad/s] and developed torque T ½N Á mŠ, one has T 2 ¼ ðD2 =D1 ÞT 1 , and ω2 ¼ ðD1 =D2 Þω1 , where D1,2 are pitch diameters of gear wheels. Here, torque is the voltage and speed is the current. D1,2 are similar to the number of turns, N1,2, of the primary and secondary coils of the transformer, respectively.

D1,2 are similar to the number of turns, N1,2, of the primary and secondary coils of the transformer, respectively. This analogy ignores the field effect—magnetic coupling between the coils. Therefore, it will fail in the DC case. A more realistic transformer analogy is shown in Fig. 10e. The model with four pistons transforms power from one circuit to another in the AC case only. It is drawn for a 1:1 transformer. When a transformer with a turn ratio of 2:1 is required, the area of output pistons is doubled.

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