In this lab we constructed a circuit designed to be 'reliable,' where damage to one part of the circuit may not destroy the entire circuit, leaving other parts functional. The idea is to have two loads supplied by two different batteries, so that if one load fails, circuit breakers (not included in this circuit) would separate the damaged circuit and the other battery can continue to support the functional parts of the circuit.
Given resistor and battery voltage values, the currents can be found using nodal analysis by finding the voltages of the nodes and choosing a ground. The 3 upper resistors act as cable resistance (100, 220, and 220 ohm Rs from left to right) and the 2 vertical 1000 ohm Rs are the loads. With Bat1(nearer to 100 R) = 12V and Bat2 = 9V, the values for I bat 1and2 and Voltages of the nodes were calculated and measured.
Variable Theoretical Value Measured Value Percent Error
Ibat1 17.5 mA 17.52 mA 6.3%
Ibat2 1.5 mA 1.62 mA 8.0%
V2 10.3 V 10.23 V 0.7%
V3 8.67 V 8.70 V 0.3%
(V2 and V3 being the nodes above first and second 1000 ohm Rs, respectively).
Surprisingly, there were no large percent errors when dealing with a small current such as 1.5 mA. It was to be expected that with a 12V Ibat1 would have lots of current since it has a small 100 ohm R.
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