(Solved): 2. a. Write Kirchhoff's rules for two loops and one junction in the circuit shown in the figure. b ...

2. a. Write Kirchhoff's rules for two loops and one junction in the circuit shown in the figure. b. Solve the equations for the current in each branch of the circuit when ${?}_1=10\mathrm{V},{?}_2=2\mathrm{V},R_1=50?,R_2=200?$, and $R_3=20?$. c. Determine the potential difference between points A and B (across resistor $R_3$ ). Remember to show all your work and explain your reasoning.