initials 1 1. (3 points) Consider the DC circuit diagramed below, which contains two batteries (30-V and 50-V), and three resistors (10-$2, 20-$2, and R). There are three unique currents in the circuit, as pictured: 1/ flows right to left through the 10-$2 resistor, 12 flows up through the 20- resistor, and 13 flows down through resistor R. + 50 V + 30 V R 12 20 0 I3 10 0 Using the symbols/values for the batteries, resistors, and currents as labeled on the circuit diagram, please construct three Kirchhoff's Rules equations that could be used to solve for currents I1, I2, and I3 if the resistance of R is known, including one "junction rule" equation and two "loop rule" equations. (Write clearly and box the equations; do not solve them. You can suppress (leave out) units in the three equations.)