$e_{x}\left( t \right) = n_{x}\frac{\text{dfi}}{\text{dt}}\ \ \ Q = a\sqrt{P}$ a –wypełnienei żelazem, P moc $R_{w} = R_{wtor} + \frac{R_{\text{pierw}}}{n^{2}}$ $U_{w} = \frac{{\sqrt{2}U}_{\text{sk}}sin(wt + fi)}{n^{}}$ $$k_{t} = \frac{U_{\text{tetnien}}}{U_{sr\ wyp}}\text{\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ }U_{t} = \frac{U_{\text{wyj\ max}}}{\left( 2 \right)fR_{0}C}$$ $$\mathbf{I}_{\mathbf{\text{CQ}}}\mathbf{=}\frac{\left( \mathbf{E}_{\mathbf{B}}\mathbf{-}\mathbf{U}_{\mathbf{\text{BEQ}}} \right)\mathbf{B +}\mathbf{I}_{\mathbf{C}\mathbf{0}}\left( \mathbf{B + 1} \right)\mathbf{(}\mathbf{R}_{\mathbf{C}}\mathbf{+}\mathbf{R}_{\mathbf{B}}\mathbf{+}\mathbf{R}_{\mathbf{E}}\mathbf{)}}{\left( \mathbf{1 + B} \right)\left( \mathbf{R}_{\mathbf{E}}\mathbf{+}\mathbf{R}_{\mathbf{C}} \right)\mathbf{+}\mathbf{R}_{\mathbf{B}}}$$ $$\mathbf{U}_{\mathbf{\text{CEQ}}}\mathbf{=}\mathbf{E}_{\mathbf{C}}\mathbf{-}\left( \mathbf{I}_{\mathbf{\text{CQ}}}\mathbf{-}\mathbf{I}_{\mathbf{C}\mathbf{0}} \right)\left( \frac{\mathbf{B + 1}}{\mathbf{B}} \right)\mathbf{(}\mathbf{R}_{\mathbf{C}}\mathbf{+}{\mathbf{R}_{\mathbf{E}}}_{}\mathbf{)}$$ $$\mathbf{I}_{\mathbf{\text{CQ}}}\mathbf{=}\frac{\mathbf{E}_{\mathbf{C}}\mathbf{-}\mathbf{U}_{\mathbf{CE(Q)}}}{\mathbf{R}_{\mathbf{C}}\mathbf{+}\mathbf{R}_{\mathbf{E}}}$$ UBE(t1) = UBE(T0) − c(T1−T0) c = 1, 5 − 2, 5mV/K B(T1) = B(T0)[1−gamma(T1−T0)]5 − 10 1/kK $$I_{C0} = I_{C0}\left( T_{0} \right)\exp\left( \frac{T_{1} - T_{0}}{b} \right)b = 14K$$ $$s_{i} = \frac{R_{B} + R_{E}}{R_{E} + R_{B}/B} = 1 + \frac{R_{B}}{R_{E}}\ \text{\ \ R}_{E} \uparrow$$ $$s_{u} = \frac{1}{R_{E} + R_{B}/B} = \frac{1}{R_{E}}\ \text{\ \ R}_{B} \downarrow \ \ \ \ \ \ \ \ \ s_{B} = \frac{R_{B} + R_{E}}{R_{E}*B}\ \ \ \ B \uparrow$$ Ograniczenie R $$\frac{E_{C} - U_{\text{CEQ}}}{I_{\text{CQ}}} < R_{E} + R_{C} < \frac{E_{\text{Cmax}} - U_{\text{CEQ}}}{I_{\text{CQ}}}$$ Ilość diod potrzebnych do skompens. $$n = \frac{R_{2}}{R_{1}} + 1\ \ \ \ \ \ \ \ \ a = \frac{B}{B + 1}\ \ \ \ \ \ \ \ \ B = \frac{a}{1 - a}$$ Model hybryd PI $$g_{m} = \frac{I_{\text{CQ}}}{fi_{T}}\text{\ \ \ \ \ }g_{\text{ce}} = \frac{I_{\text{CQ}}}{U_{\text{EY}} + U_{\text{CEQ}}}\text{\ \ \ \ \ }g_{b}^{'}e = \frac{g_{m}}{B}$$ $$g_{b}^{'}c = \frac{I_{\text{cQ}}}{B(U_{\text{EY}} + U_{\text{BE}})} = \frac{g_{\text{ie}}}{B}\text{\ \ \ \ \ \ }c_{\text{be}} = \frac{g_{m}}{2pif_{T}} - c_{\text{bc}}$$ rwej = R1||R2||{rbe + RE(B + 1)} rwyj = rce||Rc  ≈ RC jesli rce ≫ RC $$k_{\text{usk}} = - \frac{g_{m}R_{c}}{1 + g_{m}R_{E}}\ \approx \ \frac{R_{C}}{R_{E}}$$ $$c_{\text{wej}} = \frac{g_{m}}{2\pi f_{T}}$$ cwyj = cbe + cbc(1 − ku) $$k_{u} = \frac{U_{\text{wyj}}}{U_{\text{wej}}}\text{\ \ \ \ \ }k_{i} = \frac{I_{\text{wyj}}}{I_{\text{wej}}}\text{\ \ \ \ \ }k_{p} = \frac{P_{\text{wyj}}}{P_{\text{wej}}}\ (10log)$$ Dynamiczna prosta pracy DC $$\mathbf{i}_{\mathbf{\text{cmax}}}\mathbf{=}\mathbf{I}_{\mathbf{\text{CQ}}}\mathbf{+}\frac{\mathbf{U}_{\mathbf{\text{CEQ}}}}{\mathbf{R}_{\mathbf{C}}\mathbf{||}\mathbf{R}_{\mathbf{0}}}\mathbf{\text{\ \ }}\mathbf{u}_{\mathbf{\text{cemax}}}\mathbf{=}\mathbf{U}_{\mathbf{\text{CEQ}}}\mathbf{+}\mathbf{J}_{\mathbf{\text{CQ}}}\mathbf{(}\mathbf{R}_{\mathbf{C}}\mathbf{||}\mathbf{R}_{\mathbf{0}}\mathbf{)}$$ $$\mathbf{\text{AC\ }}\mathbf{i}_{\mathbf{\text{cmax}}}\mathbf{=}\mathbf{I}_{\mathbf{\text{CQ}}}\mathbf{+}\frac{\mathbf{-}\mathbf{U}_{\mathbf{\text{CE}}}\mathbf{+}\mathbf{U}_{\mathbf{\text{CEQ}}}}{\mathbf{R}_{\mathbf{C}}\mathbf{||}\mathbf{R}_{\mathbf{0}}}$$ Tw Millera $$I_{1} = \frac{U_{1} - U_{2}}{Z},\ I_{2} = \frac{U_{2} - U_{1}}{Z} = > I_{1} = \frac{U_{1}}{Z_{1}},\ I_{2} = \frac{U_{2}}{Z_{2}}$$ $$Z_{1} = \frac{Z}{1 - k_{u}}\text{\ \ \ }Z_{2} = \frac{Z}{1 - 1/k_{u}}$$ Wzmacniacze Wzmacniacz operacyjny $$U_{\text{wej}} = \left( \frac{R_{1} + R_{2}}{R_{3} + R_{4}} \right)\frac{R_{4}}{R_{1}}U_{wej2} - \frac{R_{1}}{R_{2}}\text{\ \ jesli\ }\frac{R_{2}}{R_{1}} = \frac{R_{4}}{R_{3}}$$ $$U_{\text{wyj}} = \frac{R_{2}}{R_{1}}\left( U_{wej2} - U_{wej1} \right)\text{jesli\ }R_{1} = R_{2}$$ $$k_{U} = \frac{R_{1} + R_{2}}{R_{1}} = 1 + \frac{R_{2}}{R_{1}}$$ STAŁE Fi(t)=25 – 26 mV – pot. Term elekt Uces=0,2-0,3V Kompensacja zmian Ic0 poprzez wpięcie C między B i E