Answer to Question #332037 in Electric Circuits for cai

Question

The parallel combination of five cells, each with electromotive force of 1.5 V and internal resistance of 0.5 Ω, is connected to an external resistance of 5.0 Ω. Find the (a) terminal voltage of the battery, and (b) terminal voltage of a cell.

Given: n=5

E= 1.5 V

r= 0.5 Ω

R= 5.0 Ω

Answer 1

(a)

$$R_{tot}=\frac{r}{5}+R=\frac{0.5}{5}+5.0=5.1\:\Omega$$

(b)

$${\cal E}=1.5\:\rm V$$

(c)

$$I=\frac{\cal E}{R_{tot}}=\frac{1.5}{5.1}=0.29\:\rm A$$