Mathematics for Electronics
Algebraic Equation Manipulation for Electric Circuits
19 questions By Tony R. Kuphaldt
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Question 19 of 19
Calculate all currents in this DC circuit:

Hint: it may help you to set up the necessary equation by labeling the current through the lower resistor as I and the current through the upper resistor as I + 0.005.
Reveal answerUpper resistor current = 8.5 mA; lower resistor current = 3.5 mA
Notes:This is an interesting circuit to mathematically analyze. While not requiring simultaneous equations, or even a network theorem such as Superposition or Thévenin’s, it is nevertheless a good exercise in applying the basic laws of circuit analysis (Ohm’s, Kirchhoff’s) and algebra.
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Question 14, Equation 2 - the ‘+’ symbol is missing between ‘a 3’.
Question 17, right-hand equation - the square-root should only be over the left side of the equation.
Question 19, Hint - the ‘+’ symbol is missing between ‘I 0.005’.
They do seem to be correct in the equivalent questions in the PDF version though.
In the answer to question 8, the second solution has R1 on the right side of the equation when it should be R.