## PHYS345 Electricity and Electronics

**Hint for 3.4**
First, remember that the conductance G plays the role of a reciprocal resistance.
Thus a 4 S conductor has a resistance of 0.25 ohm.
Also Ohm's law V=IR may be written as I=VG, a form which is well adapted to nodal analysis.

There are three non-trivial nodes; I choose labels V_{1}, V_{2}, and V_{3} from left to right.
The nodal equation for the node on the far left is then:

2 + (V_{1} - V_{2}) + (V_{1} - V_{3})^{.}2 = 0.

Write down the remaining two nodal equations and solve for V_{2}.

You may find a Linear Algebra Solver to be useful
in finding the final answer.

"http://www.physics.udel.edu/~watson/phys345/protected/exercises/hints/3-4.html"

Last updated Sept. 8, 1999.

Copyright George Watson, Univ. of Delaware, 1999.