Question
For this question, consider the circuit shown in the following figure.
1. Assuming that none of the three currents ($I_1, I_2, I_3$) are equal to zero, which of the following statements is false?
1. $I_3 = I_1 + I_2$
2. $I_2 = I_3 - I_1$
3. The current through $R_3$ is equal to the current through $R_5$
4. The current through $R_1$ is equal to the current through $R_5$
2. Which of the following statements is true?
1. $\xi_1 + \xi_2 + I_1R_1 - I_2R_2 + I_1r_1 - I_2r_2 + I_1R_5 = 0$
2. $-\xi_1 + \xi_2 + I_1R_1 - I_2R_2 + I_1r_1 - I_2r_2 - I_1R_5 = 0$
3. $\xi_1 - \xi_2 - I_1R_1 + I_2R_2 - I_1r_1 + I_2r_2 - I_1R_5 = 0$
4. $\xi_1 + \xi_2 - I_1R_1 + I_2R_2 - I_1r_1 + I_2r_2 + I_1R_5 = 0$
3. If $I_1 = 5 \textrm{ A}$ and $I_3 = -2 \textrm{ A}$, which of the following statements is false?
1. The current through $R_1$ will flow from a to b and well be equal to 5 A.
2. The current through $R_3$ will flow from a to j and will be equal to 2 A.
3. The current through $R_5$ will flow from d to e and will be equal to 5 A.
4. None of the above.
4. If $I_1 = 5 \textrm{ A}$ and $I_3 = -2 \textrm{ A}$, $I_2$ will be equal to
1. 3 A
2. -3 A
3. 7 A
4. -7 A
Question Image

(c), (c), (d), (d)

Solution Video

# OpenStax College Physics for AP® Courses Solution, Chapter 21, Problem 9 (Test Prep for AP® Courses) (6:37) 