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The first right-hand rule is a method you can use to determine the direction of a magnetic field relative to the direction of conventional current Imagine holding a length of insulated wire with your right hand Keep your thumb pointed in the direction of the conventional (positive) current The fingers of your hand circle the wire and point in the direction of the magnetic field, as illustrated in Figure 24-10b Magnetic field near a coil An electric current in a single circular loop of wire forms a magnetic field all around the loop Applying the right-hand rule to any part of the wire loop, it can be shown that the direction of the field inside the loop is always the same In Figure 24-11a, the field is always up, or out of the page Outside the loop, it is always down, or into the page When a wire is looped several times to form a coil and a current is allowed to flow through the coil, the field around all the loops is in the same direction, as shown in Figure 24-11b A long coil of wire consisting of many loops is called a solenoid The field from each loop in a solenoid adds to the fields of the other loops and creates a greater total field strength When there is an electric current in a coil of wire, the coil has a field similar to a permanent magnet When this current-carrying coil is brought close to a suspended bar magnet, one end of the coil repels the north pole of the magnet Thus, the current-carrying coil has a north and a south pole and is itself a magnet This type of magnet, which is created when current flows through a wire coil, is called an electromagnet The strength of the field is proportional to the current in the coil The magnetic field produced by each loop is the same Because these fields are in the same direction, increasing the number of loops increases the strength of the magnetic field The strength of an electromagnet also can be increased by placing an iron rod or core inside the coil The core supports the magnetic field better than air does It increases the magnetic field because the field of the solenoid creates a temporary magnetic field in the core, just as a nearby permanent magnet does when brought near a metal object The second right-hand rule is a method you can use to determine the direction of the field produced by an electromagnet relative to the flow of conventional current Imagine holding an insulated coil with your right hand If you then curl your fingers around the loops in the direction of the conventional (positive) current, as in Figure 24-12, your thumb will point toward the north pole of the electromagnet.

Electromagnets Cranes for moving iron and steel in industrial settings frequently use electromagnets One such magnet, which operates at 230 V and draws 156 A, can lift over 11,300 kg!

Another of the xTD functions is MTD (month to date)

a A compass needle placed above the wire points with its north pole toward the east In what direction is the current flowing b If a compass is put underneath the wire, in which direction will the compass needle point

for($j = 0 ; $j < $wordlen ; ++$j) { $possibles[] = substr($word, 0, $j) substr($word, $j + 1); foreach($chars as $letter) $possibles[] = substr($word, 0, $j) $letter substr($word, $j + 1); } for($j = 0; $j < $wordlen - 1 ; ++$j) $possibles[] = substr($word, 0, $j) $word[$j + 1] $word[$j] substr($word, $j +2 ); for($j = 0; $j < $wordlen + 1 ; ++$j) foreach($chars as $letter) $possibles[] = substr($word, 0, $j) $letter substr($word, $j);

6 How does the strength of a magnetic field, 1 cm from a currentcarrying wire, compare with each of the following

a the strength of the field that is 2 cm from the wire b the strength of the field that is 3 cm from the wire

7 A student makes a magnet by winding wire around a nail and connecting it to a battery, as shown in Figure 24-13 Which end of the nail, the pointed end or the head, will be the north pole 8 You have a spool of wire, a glass rod, an iron rod, and an aluminum rod Which rod should you use to make an electromagnet to pick up steel objects Explain 9 The electromagnet in problem 8 works well, but you decide that you would like to make its strength adjustable by using a potentiometer as a variable resistor Is this possible Explain

Figure 24-13

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