Question

problems
answers to odd - numbered problems are at the end of the book.
section 5 - 1 resistors in series

1. connect each set of resistors in figure 5 - 63 in series between points a and b.

figure 5 - 63

Explanation:

Step1: Recall series - connection concept

In a series - connection of resistors, the resistors are connected end - to - end such that there is only one path for the current to flow.

Step2: Connect resistors in (a)

Connect $R_1$, $R_2$, and $R_3$ one after the other from point $A$ to point $B$. That is, connect the right - hand terminal of $R_1$ to the left - hand terminal of $R_2$, and the right - hand terminal of $R_2$ to the left - hand terminal of $R_3$. The left - hand terminal of $R_1$ is connected to $A$ and the right - hand terminal of $R_3$ is connected to $B$.

Step3: Connect resistors in (b)

Connect $R_1$, $R_2$, and $R_3$ one after the other. Connect the right - hand terminal of $R_1$ to the left - hand terminal of $R_2$, and the right - hand terminal of $R_2$ to the left - hand terminal of $R_3$. The left - hand terminal of $R_1$ is connected to $A$ and the right - hand terminal of $R_3$ is connected to $B$.

Step4: Connect resistors in (c)

First, connect $R_1$ and $R_2$ in series (right - hand terminal of $R_1$ to left - hand terminal of $R_2$). Then connect the right - hand terminal of $R_2$ to the left - hand terminal of $R_4$. Finally, connect the right - hand terminal of $R_4$ to the left - hand terminal of $R_3$. The left - hand terminal of $R_1$ is connected to $A$ and the right - hand terminal of $R_3$ is connected to $B$.

Answer:

For (a): Connect $R_1$, $R_2$, $R_3$ end - to - end from $A$ to $B$.
For (b): Connect $R_1$, $R_2$, $R_3$ end - to - end from $A$ to $B$.
For (c): Connect $R_1$, $R_2$, $R_4$, $R_3$ end - to - end from $A$ to $B$.