﻿ Phasor Form Of An Inductor Current

Phasor Form Of Inductor Current

Strings (SiPjAjk) = S7P4A41     Base Sequence = 12735     String Sequence = 12735 - 4 - 41

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Phasor Form Of An Inductor Current
Math

Figure 8.50 is a circuit of the given elements: current sources i1(t) and i2(t).
Determine the inductor current in phasor notation if:
i1(t) = A1cos(ω1t)
i2(t) = A2cos(ω2t)
And ω1 ≠ ω2.

The string:
S7P4A41 (Linear Motion - Current Flowing Into Passive Elements). The motion of current flow in an electric circuit can be viewed as piece-wise-linear (current flow into a device) or looped (current blow in a circuit branch or the entire circuit). In a series connection, the piece-wise-linear current and looped current are the same. In a parallel connection, they are not. The looped current is stringed as S7P4A42 (Curved Motion)
The math:
Pj Problem of Interest is of type motion. It could also be viewed as of type change because current is the rate of change of charge flow with respect to time. However, its representation as the flow of charge is more appropriate perspectively.
Phasor form of inductor current:
i1(jω) = A1e
i2(jω) = A2e
So, iL(jω) = i1(jω) + i2(jω)
Now the frequencies of the signals are not equal:
So, A1e and A2e can not be added using complex algebra.
So the best expression for the inductor current is:
iL(t) = i1(t) + 2(t) = A1cos(ω1t) + A2cos(ω2t)

The point . is a mathematical abstraction. It has negligible size and a great sense of position. Consequently, it is front and center in abstract existential reasoning.
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