Question

6. Equivalent Resistance of a Series - Parallel circuit: (can do at home) In the following circuit, what series-parallel combination does the circuit represent? i.e which combination of resistors are in parallel with which combination in series? A B С W R3 R1 V1 w R2 R4 F E D If this circuit were to be described as the following equivalent circuit with a single equivalent resistance, what would be it in terms of R1, R2, R3 and R4)? Ro4

Answer 1

6.) R R3 Ry R 2.) Rz and Ry Resistor are in series. Combination of Rz and Ry are in parallel with R2. Combination of R2, R3, Ry is in series with R, 6.) R₂ L Ru are in series hence Resistance due to 3,4 is R₂ + Ry Gmbination of Rz, Ru in so parallel with R2 1 R₂34 R2 t. I RztRy I Rz try + R2 R₂(Rz try) Rg34 R₂34 R2CR₂ + RW RL + R₂ + Ry

Where Rzzy is combination Resistance of Red Rz, Ry Now R234 is in series with R Total equivalent Resistance = Reg Rega Rit R2 (R₂ + RW R, GR, TR3 Reg = R + R, R₂ + R, R₂ + R₂ R₂ + R2 Ry RitR₂+R3 Reg = Ril Rithet R3) + R (R3tRu) R, TR2 + R₂ Vi + Req Hence we can replace all Resistance Gmbination by Reg