**
E - Handout #2
Bridge Circuit Matrix Analysis SOLUTION
ETME360 Spring 2014
R. Larson**

Solve for e_{o} using (a)
Kirchoff’s Current Law (KCL) and (b) Kirchoff’s Voltage Law (KVL).
The KCL solution requires sketching in assumed currents through each resistor,
then writing nodal equations. The KVL solution uses assumed loop
currents, and solves for the currents that are expressed as voltages and
resistances:

You must use a
**computer-based solver program** (such as **MATHCAD,
MATLAB, EXCEL)**, to create a
computer generated __ printed matrix-format solution__
of the system of equations that you generate for this
problem. (Hand-sketches of currents/voltage loops are OK,
and manual equation development is expected.) You must include

SOLUTIONS:

**Using
Kirchoff"s Current Law: **

Draw arbitrary current arrows, express in terms of voltage
difference divided by resistance for each node:

...Find common denominator, move results to RH side and coefficients*unknowns to
LH side.

In MATRIX form my equations look like this...

**Using
Kirchoff"s Voltage Law: **

Draw arbitrary loop arrows, express in terms of currents
times resistances in each loop:

Note
that the sign convention on output voltages is somewhat
arbitrary depending on setup: __Magnitude__ of the solution is
same either way.