ELECTROTECHNOLOGY
ELTK1100
QUIZ #4
SOLUTIONS
Using any network analysis method, determine the three currents?
Most times, the method will be specified. But if given the choice, the selection of a method
can simplify the solution, especially using Cramer’s Rule or Simultaneous Equations.
In this case: Network Analysis using Kirchhoff’s Laws (KVL & KCL) - three equations, three
unknowns; Mesh Analysis (KVL) - two equations, two unknowns (two loops); (and Nodal
Analysis (KCL) - one equation, one unknown) (two nodes with one as reference).
The complexity is still present, but in the definition of the equations, not the mathematical
solution.
Using Mesh Analysis (KVL).
All currents are negative, so the actual direction of all currents are opposite.
Alternatively. Using Kirchhoff’s Laws (KVL and KCL).
One possible solution:
Negative currents means directions chosen at random were incorrect. I2 flows up and I1
flows to left in R1.
ELECTROTECHNOLOGY
ELTK1100
QUIZ #4
SOLUTIONS
Using any network analysis method, determine the three currents?
Most times, the method will be specified. But if given the choice, the selection of a method
can simplify the solution, especially using Cramer’s Rule or Simultaneous Equations.
In this case: Network Analysis using Kirchhoff’s Laws (KVL & KCL) - three equations, three
unknowns; Mesh Analysis (KVL) - two equations, two unknowns (two loops); (and Nodal
Analysis (KCL) - one equation, one unknown) (two nodes with one as reference).
The complexity is still present, but in the definition of the equations, not the mathematical
solution.
Using Mesh Analysis (KVL).
All currents are negative, so the actual direction of all currents are opposite.
Alternatively. Using Kirchhoff’s Laws (KVL and KCL).
One possible solution:
Negative currents means directions chosen at random were incorrect. I2 flows up and I1
flows to left in R1.