User:Ekmekparasi

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$P_{loss}=I_{a}^{2}*R_{a}=(1.5)^{2}*R_{a}$

$V_{p}=V_{L}=232V$

$I_{p}={\frac {I_{L}}{\sqrt {3}}}$

$I_{p}={\frac {0.62A}{\sqrt {3}}}=0.357A$

$P_{p}={\frac {P_{3p}}{3}}={\frac {5.83}{3}}=1.94W$

$R_{c}={\frac {V_{oc}^{2}}{P_{oc}}}={\frac {232^{2}}{1.94}}=27.744k\Omega$

$S_{oc}=VI=82.82VA$

$Q={\sqrt {S^{2}-P^{2}}}={\sqrt {82.82^{2}-1.94^{2}}}=82.8VAR$

$X_{m}={\frac {V^{2}}{Q}}={\frac {232^{2}}{82.8}}=650.05\Omega$

${\displaystyle }$

${\displaystyle }$

$|Z_{eq}|={\frac {V_{sc}}{I_{sc}}}={\frac {8}{2.62}}=3.05\Omega$

$R_{eq}={\frac {P_{sc}}{I_{sc}^{2}}}={\frac {2.39}{2.62^{2}}}=0.348\Omega$

$X_{eq}={\sqrt {|Z_{e}q|^{2}-R_{eq}^{2}}}={\sqrt {3.05^{2}-0.348^{2}}}=3.03\Omega$

${\displaystyle }$

${\displaystyle }$

$V_{p}=V_{L}=8V$

$I_{p}={\frac {I_{L}}{\sqrt {3}}}$

$I_{p}={\frac {4.54A}{\sqrt {3}}}=2.62A$

$P_{p}={\frac {P_{3p}}{3}}={\frac {7.15W}{3}}=2.39W$

$V_{p}={\frac {V_{L}}{\sqrt {3}}}$

$V_{p}={\frac {8}{\sqrt {3}}}=4.62V$

$S_{3}=A_{3}'(A_{2}+A_{1}+A_{0})+A_{3}A_{2}'A_{1}'A_{0}'=A_{3}\oplus (A_{2}+A_{1}+A_{0})$

$S_{2}=A_{2}'(A_{1}+A_{0})+A_{2}A_{1}'A_{0}'=A_{2}\oplus (A_{1}+A_{0})$

$S_{1}=A_{1}A_{0}'+A_{1}'A_{0}=A_{1}\oplus A_{0}$

$S_{0}=A_{0}$

$D=x\oplus y\oplus z$

$B=x'y+x'z+yz$

$S=x'y+xy'=x\oplus y$

$B=x'y$

$S=x'y'z+x'yz'+xy'z'+xyz=z\oplus (x\oplus y)$

$C=xy+xz+yz$

$C=x(y+z)+yz$

$R_{parallel}={\frac {E_{parallel}^{r}}{E_{parallel}^{i}}}={\frac {n_{2}cos\theta _{i}-n_{1}cos\theta _{t}}{n_{2}cos\theta _{i}+n_{1}cos\theta _{t}}}$

$R_{perpendicular}={\frac {E_{perpendicular}^{r}}{E_{perpendicular}^{i}}}={\frac {n_{1}cos\theta _{i}-n_{2}cos\theta _{t}}{n_{1}cos\theta _{i}+n_{2}cos\theta _{t}}}$

$\alpha ={\frac {R_{FET}\lVert R_{2}\rVert R_{3}}{R_{1}+R_{FET}\lVert R_{2}\rVert R_{3}}}$

$y=-138815x+333947$

$R_{FET}=mX+b=-139k\Omega xV_{BIAS}+334k\Omega$

$R_{FET}=23.64k\Omega$

$\alpha ={\frac {50k\Omega \lVert 23.64k\Omega }{47k\Omega +50k\Omega \lVert 23.64k\Omega }}0.25$

$R_{perpendicular}=sin(\theta _{i}-\theta _{t})/sin(\theta _{i}+\theta _{t})$

$\theta _{i}+\theta _{t}=90^{O}$

$\theta _{B}=tan^{-1}{\frac {n_{2}}{n_{1}}}$

$I(\theta )_{out}=I_{in}[H_{90}+(H_{0}-H_{90})]cos^{2}\theta$

$H_{0}={\frac {1}{2}}(k_{1}^{2}+k_{2}^{2})$

$H_{90}=k_{1}k_{2}$

$I(\theta )_{out}=I_{in}cos^{2}\theta$