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Consider a section of one loop that moves through a magnetic field, as shown in Figure 25-8a An EMF, equal to BLv, will be induced in the wire If the magnetic field is out of the page and velocity is to the right, then the fourth right-hand rule shows a downward EMF, as illustrated in Figure 258b, and consequently a downward current is produced In 24, you learned that a wire carrying a current through a magnetic field will experience a force acting on it This force results from the interaction between the existing magnetic field and the magnetic field generated around all currents To determine the direction of this force, use the third right-hand rule: if current, I, is down and the magnetic field, B, is out, then the resulting force is to the left, as shown in Figure 25-8c This means that the direction of the force on the wire opposes the original motion of the wire, v That is, the force acts to slow down the rotation of the armature The method of determining the direction of a force was first demonstrated in 1834 by HFE Lenz and is therefore called Lenz s law Lenz s law states that the direction of the induced current is such that the magnetic field resulting from the induced current opposes the change in the field that caused the induced current Note that it is the change in the field and not the field itself that is opposed by the induced magnetic effects Opposing change Figure 25-9, on the next page, is an example of how Lenz s law works The north pole of a magnet is moved toward the left end of a coil of wire To create a force that will oppose the approach of the north pole, the left end of the coil also must become a north pole In other words, the magnetic field lines must emerge from the left end of the coil Using the second right-hand rule, which you learned in 24, you will see that if Lenz s law is correct, the induced current must be in a counterclockwise direction as viewed from the end of the coil where the magnet is inserted Experiments have shown that this is so If the magnet is turned so that a south pole approaches the coil, the induced current will flow in a clockwise direction.



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Lenz s law eddy current self-inductance transformer primary coil secondary coil mutual inductance step-up transformer step-down transformer

Figure 25-8 A wire, length L, moving through a magnetic field, B, induces an electromotive force If the wire is part of a circuit, then there will be a current, I This current will interact with the magnetic field and produce a force, F Notice that the resulting force opposes the motion, v, of the wire





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2 class Paratrooper implements Runnable { 3 public void run() { 4 Systemoutprint(ThreadcurrentThread()getName() + " "); 5 } } 6 public class Jump { 7 static Paratrooper p; 8 static { p = new Paratrooper(); } 9 { Thread t1 = new Thread(p, "bob"); t1start(); } 10 public static void main(String[] args) { 11 new Jump(); 12 new Thread(new Runnable() { public void run() { ; }}, "carol")start(); 13 new Thread(new Paratrooper(), "alice")start(); 14 } 15 Jump() { Thread t2 = new Thread(p, "ted"); t2start(); } 16 }

F = BIL I I F (EMF)

Figure 25-9 The magnet approaching the coil causes an induced current to flow Lenz s law predicts the direction of flow shown

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Of these, Eq 1922 is perhaps the more commonly used in RF applications The reactive part of antenna impedance results from the magnetic and electrical fields (close to the radiator) returning energy to the antenna radiator during every cycle The resistive part of impedance consists of two elements: ohmic losses Ro and radiation resistance Rr The ohmic losses are due to heating of the antenna conductor elements by RF current passing through, as when current passes through any conductor The radiation resistance relates to the radiated energy An efficiency factor k compares the loss and radiation resistances: k Rr Rr Ro [1923]

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