a) Write an equation for the currents entering in/out of the top junction in Figure 1. Use I1 as the current coming from the left, I2 as the current going downward, and I3 as the current going to the right.
b) You will need to draw two loops in order to solve this circuit. Write the corresponding voltage equations for these loops in terms of V, VA, VB, and VC; where VA, VB and VC are voltages across the resistors RA, RB and RC respectively.
c) Using Ohm's law combined with the equations you found above; express I1, I2, and I3 as equations in terms of the known quantities V, RA, RB, and RC.
d) Now you have all the information you need to express VA, VB and VC as equations in terms of V, RA, RB and RC.
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