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Unformatted text preview: called parasitic elements. Rs
Ls
C Rp Inductance An inductor is constructed by coiling a wire around some type of form. When current flows in the coil, a magnetic field is produced, with the magnetic flux linking the coil. 65 EE1002 Introduction to Circuits and Systems According to Faraday’s law, a voltage is induced in a coil when the magnetic field linking it varies with time. For an ideal inductor, the voltage induced is proportional to the rate of change of the current. The proportionality constant is the inductance of the coil. v(t ) L di (t ) is the v‐i characteristic of an inductor. dt i (t )
v(t ) L Inductance has units of henries (H) which is equivalent volt seconds per ampere. Inductor current in terms of voltage If we know the initial current i (t0 ) and the voltage v(t ) across an inductance, we can find current at any time t t0 . Rearrange the voltage equation for inductance, di 1
v(t )dt L Integrating both sides, 66 EE1002 Introduction to Circuits and Systems i (t ) t t 1
1 ) di L t v(t )dt i(t ) L t v(t )dt i(t0 ) i ( t0
0
0
From the above equation, we can notice that as long as the voltage across the inductance is finite, the current can change by an incremental amount in a time increment....
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 Winter '14

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