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Instead of making routing changes in the switch, the customer has a circuit between every possible combination of desired endpoints As a result, customers get the functionality of a switched network, while the service provider avoids the difficulty of administering a network within which the customer is actively making changes In Frame Relay, PVCs are identified using an address called a Data Link Connection Identifier (DLCI, pronounced delsie ) At any given endpoint, the customer s router can support multiple DLCIs, and each DLCI can be assigned varying bandwidths based upon the requirements of the device/application on the router port associated with that DLCI In Figure 6-2, the customer has purchased a T-1 circuit to connect his or her router to the Frame Relay network.

significant figures, is 89 . The circuit contains an almost pure inductive reactance, because the phase angle is close to 90 . The resistance contributes little to the behavior of this RL circuit at 1.0 MHz.

The angle of lag will be the same for any values of XL and R in the ratio of 5:3 It s easy to find the angle of lag whenever you know the ratio of R to XL You ll see some examples shortly..

13-9 In a circuit with inductance and resistance, the current lags the voltage by less than 90 degrees.

The router is connected to a videoconferencing unit at 384 Kbps, a Frame Relay-capable PBX at 768 Kbps, and a data circuit for Internet access at 512 Kbps..

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Problem 13-6 What is the phase angle for the preceding circuit at a frequency of 10 kHz With that information, what can we say about the behavior of the circuit at 10 kHz This requires that XL be calculated again, for the new frequency. Let s use megahertz, so it goes in the formula with microhenrys. A frequency of 10 kHz is the same as 0.010 MHz. Calculating, we get XL = 6.28fL = 6.28 0.010 90 = 5.65 . The ratio XL/R is 5.65/10 = 0.565. Therefore, the phase angle is arctan 0.565, which, rounded to two significant figures, is 29 . This is not close to either 0 or 90 . Thus, at 10 kHz, the resistance and the inductive reactance both play significant roles in the behavior of the circuit.

As the resistance in an RL circuit becomes large with respect to the inductive reactance, the angle of lag gets smaller and smaller. The same thing happens if the inductive reactance gets small compared with the resistance. When R is many times greater than XL, whatever their actual magnitudes might be, the vector in the RL plane lies almost on the R axis, going east or to the right. The RL phase angle is nearly zero. The current comes into phase with the voltage. In a pure resistance, with no inductance at all, the current is precisely in phase with the voltage (Fig. 13-11). A pure resistance doesn t store any energy, as an inductive circuit does, but sends the energy out as heat, light, electromagnetic waves, sound, or some other form that never comes back into the circuit.

Refer to the text in this chapter if necessary. A good score is 18 correct. Answers are in the back of the book. 1. As the number of turns in a coil that carries ac increases without limit, the current in the coil will (a) eventually become very large. (b) stay the same. (c) decrease, approaching zero. (d) be stored in the core material. 2. As the number of turns in a coil increases, the reactance at a constant frequency (a) increases. (b) decreases. (c) stays the same. (d) is stored in the core material. 3. As the frequency of an ac wave gets lower, the value of XL for a particular coil of wire (a) increases. (b) decreases. (c) stays the same. (d) depends on the voltage. 4. Suppose a coil has an inductance of 100 mH. What is the reactance at a frequency of 1000 Hz (a) 0.628 (b) 6.28 (c) 62.8 (d) 628

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If you know the ratio of the inductive reactance to the resistance, XL /R, in an RL circuit, then you can find the phase angle. Of course, you can find the angle of lag if you know the actual values of XL and R.

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