Question

A four-resistor circuit is shown in the figure. The values of the resistors are as follows: R₁=4 Ohms, R₂=R₃=R₄=3 Ohms. What is the equivalent resistance Req for this circuit?

R4 R1 R23 R₂ }

Answer 1

When we connect n number of resistors with resistance R1, R2, Rg..., Rn in senies combination then the equivalent resistance Req) of the combination Req = R₂ + Rot Rz + + Rn is given by wn R3 WWW Rn R, R2 In parallel combination the equivalent resistance (Red) of the combination is given by Req + + - + Rat R Rn wwwww R1 R2 R3 www Rn Parallel combination

RH WWW www WWWW R3 R2 = R3 R4 =3 ohms Rg and Ry are connected in senies. So their equivalent Yesistance =(3+3) ohms = 6 ohms Now R., R, and R are connected in partallel combination So equivalent resistance of the circuit is R = R3+R4 R, = 4 ohms given by Reg. where Req - 2 + 1 2 + 1 2 - Req R , Ro R' RR'+ R, R't R, R₂ 48386 olms (3x0) + (446) +(4x3) 1-333 ohms 1.33 ohms Equivalent nesistance for this circuit is 1.33 ohms .