I = V i R 2 + R 1 {\displaystyle I={\frac {V_{i}}{R_{2}+R_{1}}}} V o = I R 2 = V i R 2 R 2 + R 1 {\displaystyle V_{o}=IR_{2}=V_{i}{\frac {R_{2}}{R_{2}+R_{1}}}} V o V i = R 2 R 2 + R 1 {\displaystyle {\frac {V_{o}}{V_{i}}}={\frac {R_{2}}{R_{2}+R_{1}}}} V o V i = R 2 R 2 + R 1 {\displaystyle {\frac {V_{o}}{V_{i}}}={\frac {R_{2}}{R_{2}+R_{1}}}}
V = V 2 R 1 R 1 + R 3 = V 1 R 1 R 2 + R 1 {\displaystyle V=V_{2}{\frac {R_{1}}{R_{1}+R_{3}}}=V_{1}{\frac {R_{1}}{R_{2}+R_{1}}}} V 2 V 1 = R 1 + R 3 R 1 R 1 R 2 + R 3 {\displaystyle {\frac {V_{2}}{V_{1}}}={\frac {R_{1}+R_{3}}{R_{1}}}{\frac {R_{1}}{R_{2}+R_{3}}}} V 2 V 1 = R 1 + R 3 R 2 + R 3 {\displaystyle {\frac {V_{2}}{V_{1}}}={\frac {R_{1}+R_{3}}{R_{2}+R_{3}}}} V 2 V 1 = R 1 + R 3 R 2 + R 3 {\displaystyle {\frac {V_{2}}{V_{1}}}={\frac {R_{1}+R_{3}}{R_{2}+R_{3}}}}
R 1 = R a R b R a + R b + R c {\displaystyle R_{1}={\frac {R_{\mathrm {a} }R_{\mathrm {b} }}{R_{\mathrm {a} }+R_{\mathrm {b} }+R_{\mathrm {c} }}}} R 2 = R b R c R a + R b + R c {\displaystyle R_{2}={\frac {R_{\mathrm {b} }R_{\mathrm {c} }}{R_{\mathrm {a} }+R_{\mathrm {b} }+R_{\mathrm {c} }}}} R 3 = R c R a R a + R b + R c {\displaystyle R_{3}={\frac {R_{\mathrm {c} }R_{\mathrm {a} }}{R_{\mathrm {a} }+R_{\mathrm {b} }+R_{\mathrm {c} }}}}