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Page Title: Figure 4 Inductors in Series
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Figure 2   Induced EMF in Coils
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Electrical Science Volume 2 of 4
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Figure 6   DC Current Through an Inductor

DC Circuits INDUCTANCE The induced EMF, or counter EMF, is proportional to the time rate of change of the current.  The proportionality constant is called the "inductance" (L).  Inductance is a measure of an inductor’s ability to induce CEMF.   It is measured in henries (H).   An inductor has an inductance of one henry  if  one  amp  per  second  change  in  current  produces  one  volt  of  CEMF,  as  shown  in Equation (3-1). CEMF    = (3-1) LDI Dt where CEMF    = induced voltage (volts) L = inductance (henries) = time rate of change of current (amp/sec) DI Dt The minus sign shows that the CEMF is opposite in polarity to the applied voltage. Example: A 4-henry inductor is in series with a variable resistor.  The resistance is increased so that the current drops from 6 amps to 2 amps in 2 seconds.  What is the CEMF induced? CEMF LDI Dt 4æ ç è ö ÷ ø 2A 6A 2 4( 2) CEMF 8  volts Inductors  in  series  are  combined Figure 4   Inductors in Series like resistors in series.   Equivalent inductance  (Leq)  of  two  inductors in  series  (Figure 4)  is  given  by Equation (3-2). Leq = L1 + L2 + ... Ln (3-2) Rev. 0 Page 3 ES-03

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