.net pdf 417

.net pdf 417

.net pdf 417

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The pictorial method is inexact. It can be a bother, sometimes, to divide down and get numbers that are easy to work with. Drawing the pictures accurately requires care and patience. If the phase angle is very close to 0 degrees or 90 degrees that is, if the ratio XL /R is very small or large the accuracy is especially poor in the drawing. There s a better way. If you have a calculator that can find the arctangent of a number, you ve got it made easy. Nowadays, if you intend to work with engineers, there s no excuse not to have a good calculator. If you don t have one, I suggest you go out and buy one right now. It should have trig functions and their inverses, log functions, exponential functions, and others that engineers use often. If you know the values XL and R, then the phase angle is simply the arctangent of their ratio, or arctan (XL /R). This might also be written tan 1 (XL /R). Punch a few buttons on the calculator, and you have it.

6

Problem 13-4

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Current is a measure of the rate at which charge carriers flow. The standard unit is the ampere. This represents one coulomb (6,240,000,000,000,000,000) of charge carriers flowing every second past a given point. An ampere is a comparatively large amount of current. The abbreviation is A. Often, current is specified in terms of milliamperes, abbreviated mA, where 1 mA = 0.001 A, or a thousandth of an ampere. You will also sometimes hear of microamperes ( A), where 1 A = 0.000001 A or 0.001 mA, which is a millionth of an ampere. It is increasingly common to hear about nanoamperes (nA), where 1 nA = 0.001 A = 0.000000001 A, which is a thousandth of a millionth of an ampere. A current of a few milliamperes will give you a startling shock. About 50 mA will jolt you severely, and 100 mA can cause death if it flows through your chest cavity. An ordinary 100-watt light bulb draws about 1 A of current in a household utility circuit. An electric iron draws approximately

The inductive reactance in an RL circuit is 680 , and the resistance is 840 . What is the phase angle 680/840. The calculator will display something like Find the ratio XL /R 0.809523809. Find the arctangent, or tan 1, getting a phase angle of 38.99099404 degrees (as shown on the calculator). Round this off to 39.0 degrees.

This CIR/EIR relationship is poorly understood by many customers because the CIR is taken to be an indicator of the absolute bandwidth of the circuit. Although bandwidth is typically measured in bits per second, CIR is a measure of bits in one second. In other words, the CIR is a measure of the average throughput that the network will guarantee. The actual transmission volume of a given CIR may be higher or lower than the CIR at any point in time because of the bursty nature of the data being sent, but in aggregate the network will maintain an average, guaranteed flow volume for each PVC. This is a selling point for Frame Relay. In most cases, customers get more than they actually pay for, and as long as the switch loading levels are properly engineered, the switch (and therefore the Frame Relay service offering) will not suffer adversely from this charitable bandwidth allocation philosophy. The key to success when selling Frame Relay is to have a clear understanding of the applications the customer intends to use across the link so that the access facility can be properly sized for the anticipated traffic load.

10 A; an entire household normally uses between 10 and 50 A, depending on the size of the house and the kinds of appliances it has, and also on the time of day, week, or year. The amount of current that flows in an electrical circuit depends on the voltage, and also on the resistance. There are some circuits in which extremely large currents, say 1000 A, can flow. This will happen through a metal bar placed directly at the output of a massive electric generator. The resistance is extremely low in this case, and the generator is capable of driving huge numbers of charge carriers through the bar every second. In some semiconductor electronic devices, such as microcomputers, a few nanoamperes will suffice for many complicated processes. Some electronic clocks draw so little current that their batteries last as long as they would if left on the shelf without being put to any use.

Problem 13-5

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