1- To experimentally verify the Thevenin and Norton Theorems. 2- To experimentally verify the Maximum Power...

  

Transcribed Image Text:

1- To experimentally verify the Thevenin and Norton Theorems. 2- To experimentally verify the Maximum Power Transfer Theorem for resistive circuits. Pre-Lab Assignment: Apparatus: Theory: For the circuit shown in Figure 1, calculate: 1- Voc, Isc, RTH, and Pmax from load side, i.e., between points 'a' and 'b 2- Record your values in Table 2. Two DC Power Supplies Digital Multimeter Resistor: 1k2,10k2, 22k2, 33k2, 47k Variable Resistor 20kΩ • Thevenin's Theorem: A two-terminal network can be replaced by a voltage source with the value equal to the open circuit voltage across its terminals, in series with a resistor with the value equal to the equivalent resistance of the network. • Norton's Theorem: A two-terminal network can be replaced by a current source with the value equal to the short circuit current at its terminal, in parallel with a resistor with the value equal to the equivalent resistance of the network. The equivalent resistance of a two-terminal network is equal to the open circuit voltage divided by the short circuit current. • Maximum Power Transfer Theorem: In a resistive circuit, a resistive load receives maximum power when the load resistance is equal to Thevenin's equivalent resistance of the circuit (i.e., R₁ = RTH). The maximum power can be calculated using the expression: Pmax Voc 4+RTH where VTH is the open circuit voltage. Procedure: 1. Measure all the resistor values using DMM and record your results in Table 1. 2. Construct the circuit as shown in Figure 1 but don't forget to remove R₁. Measure Voc (or VTH). 3. Measure the short circuit current Ise. This is accomplished by placing an ammeter between "a" and 'b'. In this manner, the ammeter will act as a short circuit. a E₁10v R₁ = 10 kn R₁ measured) 10k2 R₂ = 22 kn IL | % Difference Calculated Measured % Error R₂(mare) 1kn2 Figure 1 4. Replace the voltage sources with short circuits and current sources with open circuit (if any). With R₁. removed from the circuit, measure RTH using a multimeter. 5. Record your results in Table 2. R₂ = 1 kn Voc (V) 7.69 V Measured - Calculated Calculated Table 1 R₂ = 33 kn Reasured) 33k2 R₁ = 47 kn Table 2 Rared) 47k02 Isc (mA) • 100% 1.15mA E₂-5V RTH (K2) 6.64K Red 22k12 1- To experimentally verify the Thevenin and Norton Theorems. 2- To experimentally verify the Maximum Power Transfer Theorem for resistive circuits. Pre-Lab Assignment: Apparatus: Theory: For the circuit shown in Figure 1, calculate: 1- Voc, Isc, RTH, and Pmax from load side, i.e., between points 'a' and 'b 2- Record your values in Table 2. Two DC Power Supplies Digital Multimeter Resistor: 1k2,10k2, 22k2, 33k2, 47k Variable Resistor 20kΩ • Thevenin's Theorem: A two-terminal network can be replaced by a voltage source with the value equal to the open circuit voltage across its terminals, in series with a resistor with the value equal to the equivalent resistance of the network. • Norton's Theorem: A two-terminal network can be replaced by a current source with the value equal to the short circuit current at its terminal, in parallel with a resistor with the value equal to the equivalent resistance of the network. The equivalent resistance of a two-terminal network is equal to the open circuit voltage divided by the short circuit current. • Maximum Power Transfer Theorem: In a resistive circuit, a resistive load receives maximum power when the load resistance is equal to Thevenin's equivalent resistance of the circuit (i.e., R₁ = RTH). The maximum power can be calculated using the expression: Pmax Voc 4+RTH where VTH is the open circuit voltage. Procedure: 1. Measure all the resistor values using DMM and record your results in Table 1. 2. Construct the circuit as shown in Figure 1 but don't forget to remove R₁. Measure Voc (or VTH). 3. Measure the short circuit current Ise. This is accomplished by placing an ammeter between "a" and 'b'. In this manner, the ammeter will act as a short circuit. a E₁10v R₁ = 10 kn R₁ measured) 10k2 R₂ = 22 kn IL | % Difference Calculated Measured % Error R₂(mare) 1kn2 Figure 1 4. Replace the voltage sources with short circuits and current sources with open circuit (if any). With R₁. removed from the circuit, measure RTH using a multimeter. 5. Record your results in Table 2. R₂ = 1 kn Voc (V) 7.69 V Measured - Calculated Calculated Table 1 R₂ = 33 kn Reasured) 33k2 R₁ = 47 kn Table 2 Rared) 47k02 Isc (mA) • 100% 1.15mA E₂-5V RTH (K2) 6.64K Red 22k12