Circuit equations

Exemplary problems

  1. Circuits according to the table below are in sinusoidal steady state.
    1. Find the minimum number of independent circuit equations which can be written using loop current analysis and nodal voltage analysis.
    2. By the method giving the lower number of equations write these equations for sinusoidal steady state (if the number of equations is the same, than choose arbitrary method).


    problem 1


    		problem 2
    problem 3



    		problem 4


    problem 5


    		problem 6
    problem 7



    		problem 8
    problem 9


    		problem 10
    problem 11


    		problem 12
    problem 13


    		problem 14
    problem 15


    		problem 16

  2. Circuits according to the table below contains voltage controlled voltage source Uv = K Ur. These circuits are in sinusoidal steady state.
    1. Find the minimum number of independent circuit equations which can be written using loop current analysis and nodal voltage analysis.
    2. By the method giving the lower number of equations write these equations for sinusoidal steady state (if the number of equations is the same, than choose arbitrary method).


    problem 1




    		problem 2

  3. Circuits according to the figures below contains voltage controlled current source Iv = G Ur. These circuits are in sinusoidal steady state.
    1. Find the minimum number of independent circuit equations which can be written using loop current analysis and nodal voltage analysis.
    2. By the method giving the lower number of equations write these equations for sinusoidal steady state (if the number of equations is the same, than choose arbitrary method).


    problem 1




    		problem 2

  4. Circuits according to the table below contains current controlled voltage source Uv = R Ir. These circuits are in sinusoidal steady state.
    1. Find the minimum number of independent circuit equations which can be written using loop current analysis and nodal voltage analysis.
    2. By the method giving the lower number of equations write these equations for sinusoidal steady state (if the number of equations is the same, than choose arbitrary method).


    problem 1




    		problem 2

  5. Circuits according to the table below content current controlled current source Iv = K Ir. These circuits are in sinusoidal steady state.
    1. Find the minimum number of independent circuit equations which can be written using loop current analysis and nodal voltage analysis.
    2. By the method giving the lower number of equations write these equations for sinusoidal steady state (if the number of equations is the same, than choose arbitrary method).


    problem 1




    		problem 2

  6. Circuits according to the table below are supplied from sinusoidal voltage source U1.
    1. By the method giving the lower number of equations write circuit equations for sinusoidal steady state (if the number of equations is the same, than use nodal voltage analysis).
    2. Find the transfer function P(jw) = U2 / U1 as a function of (jw).


    problem 1


    		problem 2
    problem 3


    		problem 4
    problem 5


    		problem 6
    problem 7


    		problem 8
    problem 9


    		problem 10
    problem 11


    		problem 12
    problem 13


    		problem 14
    problem 15


    		problem 16

  7. Using circuit equations find the output impedance  Z(jw) of the circuits in the table below (i.e. impedance between terminals A and B), if the circuits are in sinusoidal steady state. Write the impedance in the form of fractional rational function as a function of (jw).

    problem 1


    		problem 2
    problem 3


    		problem 4
    problem 5




    		problem 6
    problem 7

    Using circuit equations draw the

  8. Thévenin's equivalent circuit
  9. Norton's equivalent circuit
    between output terminals A and B.



    H

    result

    I

    result