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Back-EMF can be explained in another way As Faraday showed, EMF is induced whenever a wire cuts the lines of a magnetic field The current through the wire shown in Figure 25-12 increases from Figure 25-12a to Figure 25-12c The current generates a magnetic field, shown by magnetic field lines As the current and magnetic field increase, new lines are created As more lines are added, they cut through the coil wires and generate an EMF to oppose the current changes The EMF will make the potential of the top of the coil more negative than the bottom This induction of EMF in a wire carrying changing current is called self-inductance

There are going to be many occasions when you discover alternative ways of achieving the same result in MDX This is normally an advantage you can devise more and more elegant solutions However, it can create problems, especially when you inherit code written by others This query and the next one are variations on the last query The change is subtle and difficult to spot it s a shorthand that you may find in inherited code

Figure 25-12 As the current in the coil increases from (a) on the left to (c) on the right, the magnetic field generated by the current also increases This increase in the magnetic field produces an EMF that opposes the current direction

Motors and generators differ, mainly in the way they convert energy electric to mechanical compared to mechanical to electric 1 Make a series circuit with an efficient DC motor, a miniature lamp, and an ammeter 2 Rotate the handle, or motor shaft, to try to light the lamp Analyze and Conclude 3 What happens if you vary the speed at which you rotate the handle 4 Predict what will happen if you connect your motor to a second motor

The size of the induced EMF is proportional to the rate at which field lines cut through the wires The faster the current is changed, the larger the opposing EMF If the current reaches a steady value, the magnetic field is constant, and the EMF is zero When the current is decreased, an EMF is generated that tends to prevent the reduction in the magnetic field and current Because of self-inductance, work has to be done to increase the current flowing through the coil Energy is stored in the magnetic field This is similar to the way in which a charged capacitor stores energy in the electric field between its plates

If the list of words is long, you probably would not want to create an array on the fly and instead would pre-populate an array first, using code such as these two lines:

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

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)

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