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Transformers are used to increase or decrease AC voltages Usage of transformers is common because they change voltages with relatively little loss of energy In fact, many of the devices in your home, such as game systems, printers, and stereos, have transformers inside their casings or as part of their cords How transformers work Self-inductance produces an EMF when current changes in a single coil A transformer has two coils, electrically insulated from each other, but wound around the same iron core One coil is called the primary coil The other coil is called the secondary coil When the primary coil is connected to a source of AC voltage, the changing current creates a changing magnetic field, which is carried through the core to the secondary coil In the secondary coil, the changing field induces a varying EMF This effect is called mutual inductance The EMF induced in the secondary coil, called the secondary voltage, is proportional to the primary voltage The secondary voltage also depends on the ratio of the number of turns on the secondary coil to the number of turns on the primary coil, as shown by the following expressions



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secondary voltage primary voltage number of turns on secondary coil number of turns on primary coil Vs Vp Ns Np

Figure 25-13 In a transformer, the ratio of input voltage to output voltage depends upon the ratio of the number of turns on the primary coil to the number of turns on the secondary coil The output voltage can be the same as the input, greater than the input (a), or less than the input (b)

19-23A Directional antenna pattern (top view)





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If the secondary voltage is larger than the primary voltage, the transformer is called a step-up transformer, as shown in Figure 25-13a If the voltage coming out of the transformer is smaller than the voltage put in, then it is called a step-down transformer, as shown in Figure 25-13b

In an ideal transformer, the electric power delivered to the secondary circuit equals the power supplied to the primary circuit An ideal transformer dissipates no power itself, and can be represented by the following equations: Pp VpIp Ps VsIs

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Rearranging the equation to find the ratio Vp /Vs shows that the current in the primary circuit depends on how much current is required by the secondary circuit This relationship can be combined with the relationship shown earlier between voltage and the number of turns to result in the following

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The ratio of the current in the secondary coil to the current in the primary coil is equal to the ratio of the voltage in the primary coil to the secondary coil, which is also equal to the ratio of the number of turns on the voltage in the primary coil to the number of turns on the secondary coil

Figure 25-14 If the input voltage is connected to the coils on the left, where there is a larger number of turns, the transformer functions as a step-down transformer If the input voltage is connected at the right, the transformer functions as a step-up transformer

The term is a solid angle, which emphasizes the fact that antenna patterns must be examined in at least two extents: horizontal and vertical A common method for specifying antenna directivity is beamwidth (BW) The definition of BW is the angular displacement between points on the main lobe (see Figs 19-23A and 19-23B), where the power density drops to one-half ( 3 dB) of its maximum main lobe power density This angle is shown in Fig 19-23A as a In an ideal antenna system, 100 percent of the radiated power is in the main lobe, and there are no other lobes But in real antennas certain design and installation anomalies cause additional minor lobes, such as the sidelobes and backlobe shown in Fig 19-23A Several problems derive from the minor lobes First is the loss of usable power For a given power density required at a distant receiver site, the transmitter must supply whatever additional power is needed to make up for the minor lobe losses The second problem is intersystem interference A major application of directional antennas is the prevention of mutual interference between nearby cochan-

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