Phasor Form Of Inductor Current

**Strings (S _{i}P_{j}A_{jk}) = S_{7}P_{4}A_{41} Base Sequence = 12735 String Sequence = 12735 - 4 - 41 **

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Phasor Form Of An Inductor Current

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Figure 8.50 is a circuit of the given elements: current sources *i _{1}(t)* and

Determine the inductor current in phasor notation if:

And ω

**The string**:

S_{7}P_{4}A_{41} (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 S_{7}P_{4}A_{42} (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:

i_{1}(jω) = A_{1}e^{jθ}

i_{2}(jω) = A_{2}e^{jθ}

So, i_{L}(jω) = i_{1}(jω) + i_{2}(jω)

Now the frequencies of the signals are not equal:

So, A_{1}e^{jθ} and A_{2}e^{jθ} can not be added using complex algebra.

So the best expression for the inductor current is:

i_{L}(t) = i_{1}(t) + *2(t)
= A _{1}cos(ω_{1}t) + A_{2}cos(ω_{2}t)
*

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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