User:Ekmekparasi

Personal LaTeX testing area. Please do not edit.


 * $$ P_{loss} = I_a^2 * R_a= (1.5)^2*R_a$$
 * $$ V_p = V_L= 232V$$
 * $$ I_p = \frac {I_L}{\sqrt{3}}$$
 * $$ I_p = \frac {0.62A}{\sqrt{3}}=0.357A$$
 * $$ P_p = \frac {P_{3p}}{3}=\frac {5.83}{3}=1.94W$$


 * $$R_c=\frac{V^2_{oc}}{P_{oc}}=\frac{232^2}{1.94}=27.744 k\Omega$$
 * $$S_{oc}=VI=82.82 VA$$
 * $$Q=\sqrt{S^2-P^2}=\sqrt{82.82^2-1.94^2}=82.8 VAR$$
 * $$X_m=\frac{V^2}{Q}=\frac{232^2}{82.8}=650.05 \Omega$$




 * $$| Z_{eq} |=\frac{V_{sc}}{I_{sc}}=\frac{8}{2.62}=3.05 \Omega$$
 * $$R_{eq}=\frac{P_{sc}}{I^2_{sc}}=\frac{2.39}{2.62^2}=0.348 \Omega$$
 * $$X_{eq}=\sqrt{ |Z_eq|^2 - R^2_{eq}}=\sqrt{3.05^2-0.348^2}=3.03 \Omega$$




 * $$ V_p = V_L= 8V$$
 * $$ I_p = \frac {I_L}{\sqrt{3}}$$
 * $$ I_p = \frac {4.54A}{\sqrt{3}}=2.62A$$


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


 * $$ V_p = \frac {V_L}{\sqrt{3}}$$
 * $$ V_p = \frac {8}{\sqrt{3}}=4.62V$$


 * $$ S_3 = A_3'(A_2 + A_1 + A_0) + A_3 A_2' A_1' A_0' = A_3 \oplus (A_2 + A_1 + A_0)$$
 * $$ S_2 = A_2' (A_1 + A_0) + A_2 A_1' A_0' = A_2 \oplus (A_1 + A_0)$$
 * $$ S_1 = A_1 A_0' + A_1' A_0 = A_1 \oplus A_0$$
 * $$ S_0 = A_0$$


 * $$ D = x \oplus y \oplus z $$
 * $$ B = x'y + x'z + yz $$


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


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


 * $$R_{parallel}=\frac{E^{r}_{parallel}}{E^{i}_{parallel}}=\frac{n_2 cos\theta_i-n_1 cos\theta_t}{n_2 cos\theta_i+n_1 cos\theta_t}$$
 * $$R_{perpendicular}=\frac{E^{r}_{perpendicular}}{E^{i}_{perpendicular}}=\frac{n_1 cos\theta_i-n_2 cos\theta_t}{n_1 cos\theta_i+n_2 cos\theta_t}$$
 * $$\alpha = \frac {R_{FET} \lVert R_2  \rVert R_3} {R_1 + R_{FET} \lVert  R_{2}  \rVert R_{3}}$$


 * $$y = -138815x + 333947$$
 * $$R_{FET} = mX + b= -139 k \Omega x V_{BIAS} + 334 k \Omega$$
 * $$R_{FET} = 23.64 k \Omega $$


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


 * $$R_{perpendicular}=sin(\theta_i-\theta_t)/sin(\theta_i+\theta_t)$$
 * $$\theta_i + \theta_t =90^O$$
 * $$\theta_B=tan^{-1}\frac{n_2}{n_1}$$


 * $$I(\theta)_{out}=I_{in}[H_{90}+(H_0-H_{90})]cos^2 \theta$$
 * $$H_0=\frac{1}{2}(k_1^2+k_2^2)$$
 * $$H_{90}=k_1 k_2$$
 * $$I(\theta)_{out}=I_{in}cos^2 \theta$$