Question

(a) Given n resistors each of resistance R, how will you combine them to get the (i) maximum (ii) minimum effective resistance? What is the ratio of the maximum to minimum resistance?
(b) Given the resistances of 1 Ω, 2 Ω, 3 Ω, how will be combine them to get an equivalent resistance of (i) (11/3) Ω (ii) (11/5) Ω, (iii) 6 Ω, (iv) (6/11) Ω?
(c) Determine the equivalent resistance of networks shown in Fig. 3.31.

Answer 1

(a) Total number of resistors = n 

Resistance of each resistor = R 

(i) When n resistors are connected in series, effective resistance R1is the maximum, given by the product nR. 

Hence, maximum resistance of the combination, R₁ = nR

 (ii) When n resistors are connected in parallel, the effective resistance (R₂) is the