Principle of Superposition by ChintooG

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									                 The Islamia University of Bahawalpur
                     University College of Engineering & Technology
                              Department of Electrical Engineering
                              EE211 Network Analysis 3rd Term (2nd Year)

                                       (LAB EXPERIMENT NO. 1)


          Name: _______________________________ Roll No. __________________

          Signature: ____________________________ Date: ____________________

To Verify the Principle of Superposition


Performance Objectives:

Upon successful completion of this experiment student will be able to:
    Understand the concept of Linearity
    Implement the principle of Superposition on Linear Circuits

Equipment Required:

      Bread Board
      Resistors (Select three resistors of different values)
      DC Power Supplies
      Digital Multimeter
                                R1              R2

                                     +
                V1                VO        R3                  V2
                                     -



                                         Figure 1.1
Prior Calculations:
Consider the circuit in figure 1.1 and follow the steps given below:
   1. Write down the values of the three resistors:
       R1 =                   R2 =                    R3 =
   2. If V2 = 0, what will be the expression for VO?
       VO′ =
   3. If V1 = 0, what will be the expression for VO?
       VO″ =
   4. According to superposition principle, VO = VO′ + VO″. Write down the expression for VO:
       VO =
   Procedure:
1. Connect the circuit as shown in figure 1.1
2. Switch on the power supplies
3. By adjusting the values of V1 and V2 measure VO′ and VO″ and complete the table given
   below:


                                        VO′              VO″
            V1            V2                                         VO = VO′+ VO″
                                   (V2 = 0)         (V1 = 0)
              0              0
              1              2
              2              4
              3              6
              4              8
              5           10

                                              Table 1
   Questions:
       1. If VO  aV1  bV2 ; calculate the values of a and b

              V                           V          
            a O
              V    
                                        b O
                                            V          
                                                               
               1    V2 0                  2          V1 0
       2. Complete the following table using the values from above table:


                                    VO′                 VO″
         V1             V2                                           a            b
                                  (V2 = 0)        (V1 = 0)
          0              0
          1              2
          2              4
          3              6
          4              8
          5             10

                                              Table 2

       3. Do values of a, b remain constant?
       4. What is the value of a when V1 = 4V?                  a=
       5. If V1 = 16V and V2 = 0V, what will be the value of VO ′?        VO′ =
       6. If V2 = 20V and V1 = 0V, what will be the value of VO″? VO″ =
       7. What are the units of a, b?
8. Fill out the table below, using table 1:


  V1            V2                                    VO
  -1             5
   4             -2
   7             1
  -10           18
  22            13
   5             -5

9. Write the expression for a in terms of R1 , R2 and R 3
    a=
10. Write the expression for b in terms of R1 , R2 and R 3
    b=
11. What should be the condition on resistors to have a = b?




12. If all the resistors are equal, what will be the values of a, b?


    a=                                      b=

								
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