Consider the following circuit. Write down mesh current equations in terms of th

Question

Consider the following circuit. Write down mesh current equations in terms of the three resistors R1, R2. Next assume the resistors have values R1 = 5Ohm, R2 = 10 Ohm. Use mesh current analysis to find the mesh currents i1, i2 and i3. Now use MATLAB to do a practical error analysis on the above circuit. Suppose the 5 Ohm resistor is subject to an uncertainty of 10%, and the 10 Ohm resistors are subject to an uncertainty of 5%. Calculate the values of i2 and i3 that occur when the resistors take the values 5 Ohm 10% and 10 Ohm 5% respectively. Note there are eight eases to consider. Hence give the range of values that v1 and v2 must lie within subject to these uncertainty in the resistor values. NOTE: You must provide a printout of your MATLAB session showing all the relevant inputs and outputs.

Explanation / Answer

i1=3A -R1*(i2-i1) + 5(i2-i3) - R2*(i2-i3) =0 -R2*(i3-i2) - R2*i3 -50 =0 so, -5i2 +15 + 5i2- i3 - 10i2 + 10i3 =0 or, 2i2-2i3= 3 similarly -10i3+10i2 - 10i3 - 50 =0 or, i2 - 2i3 =5 so solving equations we get i2=-2A and i3=-3.5A

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