Chapter 19, Problem 33P

* (a) Write the loop rule for two different loops in the circuit shown in Figure P19.33 and the junction rule for point A. Solve the equations to find the current in each loop when ${\epsilon }_1=3\text{V,}{\epsilon }_{\text{2}}\text{=6 V,}{R}_{\text{1}}\text{=10}\Omega ,R_2=20\Omega ,\text{ and }{R}_3=30\Omega$. (b) Determine the potential difference from A to B. Check your answer by taking a different path from A to B. (c) Sketch a potential-versus-position graph for each of the three loops, assuming the potential is zero at B.