Chapter 3, Problem 3.101IP

Battery Design

A satellite requires a battery with an open-circuit voltage $v_{\text{OC}}=36\text{V}$ and a Thévenin resistance $R_{\text{T}}=10\Omega .$ The battery is to be constructed using series and parallel combinations of one of two types of cells. The first type has $v_{\text{OC}}=9\text{V,}{R}_{\text{T}}=4\Omega ,$ and a weight of 30 g. The second type has $v_{\text{OC}}=4\text{V,}{R}_{\text{T}}=2\Omega ,$ and a weight of 18 g. Design a minimum weight battery that meets the open-circuit voltage and Thévenin resistance requirements.