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This is a very simple Thevenin equivalent circuit calculator for a very simple circuit.

The user first inputs the various circuit parameters, those being:

Voltage in *volts*

The values of resistors 1, 2 and 4 in *ohms*

The value of the load resistance in *ohms*

The value of the current source, in *amps*

The calculations are based on first shorting the voltage source and then opening the current source, thus putting resistors 1 and 4 in parallel, after calculating the resulting resistance through this equation:

$R14=((1\mathrm{/}R1)+(1\mathrm{/}R4){)}^{-}1R14\; =\; ((1/R1)\; +\; (1/R4))^-1$

R14 and R2 and now in series and the result is:

$Rth=R14+R2Rth\; =\; R14\; +\; R2$ .

Using nodal analysis, the voltage is found through analyzing the currents which flow through the node directly on top of I1. As a result, the equation for Vth is:

$Vth=(R4V1+R1R4I1)\mathrm{/}(R4+R1)Vth\; =\; (R4V1\; +\; R1R4I1)/(R4\; +\; R1)$.

Finally, the current flowing through inputted load resistance is:

$Current=Vth\mathrm{/}(RL+Rth)Current\; =\; Vth/(RL\; +\; Rth)$

Engineering

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Electrical Engineering

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