Ejercicio Exercise 2 · Física II URV 2024

Exercise 2 (10 points). DC circuit analysis

Consider three identical DC generators, each having an electromotive force $\mathcal{E} = 9\text{ V}$ and an internal resistance $r = 1\ \Omega$.

a.

Calculate the equivalent electromotive force and internal resistance if all three generators are connected: (i) in series, and (ii) in parallel. [3 points]

b.

If the three generators are interconnected in the circuit shown in the diagram, compute the intensity of current flowing through each element in the steady state (taking $R_1, R_2, R_3$ as the branch resistances). [3.5 points]

c.

Assuming the capacitor in the middle branch has a capacitance of $C = 2\ \mu\text{F}$, determine the electric charge accumulated on its plates in terms of the voltage $|V_C|$ across it. [3.5 points]