Find V_{fb} and V_{ec} in the circuit.

#### Solution:

### To figure out V_{fb}, we will write Kirchhoff’s voltage law around the *fbcdef* loop (Forgot Kirchhoff’s voltage law?). One way to think of this is to imagine a wire connecting node f to node b, and thinking of that as the new loop.

### V_{fb}+1V+3V+3V+1V=0

### V_{fb}=-8V

### To figure out Vec, we will write Kirchoff’s voltage law around the loop *ecde*.

### V_{ec}+3V+3V=0

### V_{ec}=-6V

###### This question can be found in Basic Engineering Circuit Analysis, 10th edition, chapter 2, question 2.25.