For the series network of Fig. 5.66, determine
a. The voltage V_a.
b. The voltages V_b and V_c.
c. The voltage V_{ab}.
Chapter 5
Q. 5.30

Step-by-Step
Verified Solution
a. Let us first determine the current:
I=\frac{E}{R_1+R_2+R_3}=\frac{72V}{6\Omega +8\Omega +4\Omega } =\frac{72V}{18\Omega }=4A
The voltage V_a is then
V_a=V_1=IR_1=(4A)(6\Omega )=24V
b. The voltage V_b is equal to
V_b=-V_2
with V_2=IR_2=(4A)(8\Omega )=32V
so that V_b=-32V
V_c=-V_2-V_3=-32V-(I)(R_3)\\[0.5cm]=-32V-(4A)(4\Omega )\\[0.5cm] =-32V-16V\\[0.5cm] =-48V