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Electronics

Circuit Simulation

Consider the Wheatstone Bridge circuit. The purpose of the Wheatstone Bridge circuit is to measure the unknown resistor Y. This is done by adjusting the variable resistor A and balancing the circuit such that  G = 0, so that, Y = BD/C. Many combinations of A, B, C, D and F can be used to do this. However, the question is which combination of these factors will result in a circuit that is least sensitive to both internal and external noise?

 

How do we do it? 

Our strategy is as follows:

This optimization can be conducted completely by using the computer. Since, the equation for Y can be better expressed as:

Y = BD/C - G(AB+AC+BD+CD) (BC+BD+BF+CF)/C2E

one can set various values of A, B, C, D, E and F to calculate the value of Y. Then, factors that affect the variance are distinguished from factors that affect the mean. Factors that affect the variance are used to reduce the variability and factors that affect the mean are used to reduce the bias.

Observe the difference!

The initial data points are shown as blue diamonds connected by the blue line. The magenta squares connected by the magenta line indicates the reduction in variability of the same points under the same conditions. Note the Breakthrough Improvement in reduced variability.

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