## Electrical Engineering: Principles & Applications (6th Edition)

a) We see in this circuit that all sources of current have a corresponding decline in voltage, making the circuit $\fbox{not self-contradictory.}$ b) This circuit is $\fbox{self-contradictory}$, for multiple current sources are in series with each other. c) Even though there is a short circuit, the current change across it is still 0. Thus, despite being a short circuit, it is $\fbox{not self-contradictory.}$ d) The current in series branches of a circuit must always be equal, but this is not the case with an open circuit. Thus, it is $\fbox{self-contradictory.}$ e) Unlike the last short circuit, there is a parallel branch in this short circuit. The voltage in a short circuit is 0 volts, but this is not possible for the other branch because it has a circuit element. However, we know that parallel branches are supposed to have equal currents. Thus, if follows that this circuit is $\fbox{self-contradictory.}$