Chapter 5, Problem 1P

For each configuration in Fig. 5.88, find the individual (not combinations of) elements (voltage sources and/or resistors) that are in series.

To determine

(a)

The individual elements that are connected in series for the given configuration.

Answer to Problem 1P

The individual elements that are connected in series for the given configuration are $E$ and $R_1$.

Explanation of Solution

Given:

The circuit is given below.

  

Calculation:

The given circuit is analyzed by the rules of series-parallel combination.

As per the series combination rule, $E$ and $R_1$ are connected in series, which is further connected in series to the combination of $R_2$ and $R_3$. Since only individual components are concerned, the answer would be $E$ and $R_1$ connected in series.

Conclusion:

  $E$ and $R_1$ are connected in series

To determine

(b)

The individual elements that are connected in series for the given configuration.

Answer to Problem 1P

The individual elements that are connected in series for the given configuration are $R_1$ and $R_2.$

Explanation of Solution

Given:

The circuit is given below,

  

Calculation:

The given circuit is analyzed by the rules of series-parallel combination.

As per the series combination rule, $R_1$ and $R_2$ are connected in series, which is further connected to $R_3$ in parallel.

Conclusion:

  $R_1$ and $R_2$ are connected in series.

To determine

(c)

The individual elements that are connected in series for the given configuration.

Answer to Problem 1P

The individual elements that are connected in series for the given configuration are $E_1$, $R_1$ and $E_2$

Explanation of Solution

Given:

The circuit is given below,

  

Calculation:

The given circuit is analyzed by the rules of series-parallel combination.

As per the series combination rule, $E_1$, $R_1$ and $E_2$ are connected in series with the parallel combination of $R_2$ and $R_3$ .Since only individual components are concerned, the answer would be $E_1$, $R_1$ and $E_2$ connected in series.

Conclusion:

  $E_1$, $R_1$ and $E_2$ are connected in series.

To determine

(d)

The individual elements that are connected in series for the given configuration.

Answer to Problem 1P

The individual elements that are connected in series for the given configuration are $E$ and $R_1$ connected in series. Also, $R_3$, $R_4$ and $R_5$ are connected in series.

Explanation of Solution

Given:

The circuit is given below,

  

Calculation:

The given circuit is analyzed by the rules of series-parallel combination.As per the series combination rule of resistances, $E$ and $R_1$ connected in series and $R_3$, $R_4$ and $R_5$ connected in series. Both these combinations are connected in parallel with $R_2$.

Conclusion:

Therefore, $E$ and $R_1$ as well as $R_3$, $R_4$ and $R_5$ connected in series.