Relative magnetic flux in the huge wire loop, as a function of time in seconds. in Software

Paint QR Code 2d barcode in Software Relative magnetic flux in the huge wire loop, as a function of time in seconds.

10-2 Relative magnetic flux in the huge wire loop, as a function of time in seconds.
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A certain amount of energy is stored in this magnetic field. The ability of the loop to store energy in this way is the property of inductance. It is abbreviated by the letter L.
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Practical inductors
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Of course, it s not easy to make wire loops even approaching a million miles in circumference. But lengths of wire can be coiled up. When this is done, the magnetic flux
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Inductors in series 185 is increased many times for a given length of wire compared with the flux produced by a single-turn loop. This is how inductors are made in practical electrical and electronic devices. For any coil, the magnetic flux density is multiplied when a ferromagnetic core is placed within the coil of wire. Remember this from the study of magnetism. The increase in flux density has the effect of multiplying the inductance of a coil, so that it is many times greater with a ferromagnetic core than with an air core. The current that an inductor can handle depends on the size of the wire. The inductance does not; it is a function of the number of turns in the coil, the diameter of the coil, and the overall shape of the coil. In general, inductance of a coil is directly proportional to the number of turns of wire. Inductance is also directly proportional to the diameter of the coil. The length of a coil, given a certain number of turns and a certain diameter, has an effect also: the longer the coil, the less the inductance.
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The unit of inductance
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When a battery is connected across a wire-coil inductor (or any kind of inductor), it takes a while for the current flow to establish itself throughout the inductor. The current changes at a rate that depends on the inductance: the greater the inductance, the slower the rate of change of current for a given battery voltage. The unit of inductance is an expression of the ratio between the rate of current change and the voltage across an inductor. An inductance of one henry, abbreviated H, represents a potential difference of one volt across an inductor within which the current is increasing or decreasing at one ampere per second. The henry is an extremely large unit of inductance. Rarely will you see an inductor anywhere near this large, although some power-supply filter chokes have inductances up to several henrys. Usually, inductances are expressed in millihenrys (mH), microhenrys ( H), or even in nanohenrys (nH). You should know your prefix multipliers fairly well by now, but in case you ve forgotten, 1 mH 0.001 H 10-3 H, 1 H 0.001 mH 0.000001 H 10-6 H, and 1 nH 0.001 H 10 -9 H. Very small coils, with few turns of wire, produce small inductances, in which the current changes quickly and the voltages are small. Huge coils with ferromagnetic cores, and having many turns of wire, have large inductances, in which the current changes slowly and the voltages are large.
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Inductors in series
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As long as the magnetic fields around inductors do not interact, inductances in series add like resistances in series. The total value is the sum of the individual values. It s important to be sure that you are using the same size units for all the inductors when you add their values.
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Problem 10-1
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Three 40- H inductors are connected in series, and there is no interaction, or mutual inductances, among them (Fig. 10-3). What is the total inductance
186 Inductance You can just add up the values. Call the inductances of the individual components L1, L2, and L3, and the total inductance L. Then L L1 L2 L3 40 40 40 120 H.
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