Circuit Analysis
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1 Worksheet: Circuit Analysis Table W1: Theoretical Resistance Values 2 3 4 5 6 7 8 9 10 18333355333 11 12 14 16 17 19 20 21 Resistor 1 (R1) Resistor 2 (R2) Resistor 3 (R3) Resistor Color Bands brown-black-red brown-green-red orange-black-red Table W2: Measured and Computed Resistor, Current and Voltage Values for the Resistor-network Circuit (Circuit 1) R_eff (kn) I R1 (mA) I_R2 (mA) I R3 (mA) I total (mA) VRI (V) V R2 (V) VR3 (V) V total (V) Measured (via Multimeter) 3 1.67 1.33 3 Computed (via Kirchhoff's Rules) Resistance Value (2) NOTE: The given resistor color bands are the first three bands of a 4-band resistor. Table W3: Measured and Computed Current and Voltage Values for the Two-loop network Circuit (Circuit 2) Measured (via Multimeter) I_R1 (mA) I R3 (mA) VRI (V) V R3 (V) Computed (via Kirchhoff's Rules)
(a) (b) Figure W2. Image of the Constructed Resistor Network Circuit while the (a) voltage, and (b) current across R₂ is being measured. (b) le Figure W3. Image of the Constructed Resistor Network Circuit while the (a) total voltage, and (b) total current is being measured. NAT SICS Figure W4. Image of the TinkerCAD Constructed Two-Loop Network Circuit Table W3. Measured and Computed Current and Voltage Values for the Two-loop net- work Circuit (Circuit 2) Measured (Multimeter) Computed (Kirchhoff's Rules) IR. (MA) IR, (MA) VR. (V) VR, (V)
Materials The following materials are required for the experiment: . 5-V power supply (Vi) . 9-V power supply (V₂) • breadboard brown-black-red resistor (R₁) CONSTI brown-green-red resistor (R₂) orange-black-red resistor (R₂) • multimeter connectors Note! . When using the ammeter (A) mode, make sure the multimeter is in series with the circuit element of interest. When using the voltmeter (V) mode, make sure the multimeter is parallel to the circuit element of interest. Procedure N Resistor Measurements 1. Identify the theoretical resistance of each resistor by inspecting its 3-color band label. Record the values in Table W1. Circuit 1: Resistor-Network Circuit 1. Using TinkerCAD (https://www.tinkorcad. com/), build the circuit diagram in Figure 2 without the power supply. Using an ohmmeter, measure the effective re- sistance, Ret. Take a screenshot of the resistor network with the ohmmeter reading and record it as Figure W1. Compare your ohmmeter measurement against the theoretical Ref that is computed using equations 2 and 3. Record your measured and computed Ref values into Table W2 2. Remove the ohmmeter, and connect the 5-V power supply into the resistor network to make a complete circuit. Measure the voltage across and current passing through each resistor, and record the values into Table W2. Take a screenshot of your circuit with the voltmeter and ammeter reading across R₂ and record them as Figure W2(a) and W2(b), respectively.
Figure 2. A resistor network with three resistors, R₁, R₂, and Rs. 3. Measure the total voltage across the resistor network, Vital, and total current, Isotal and record them into Table W2. Take a screenshot of your circuit with the voltmeter and ammeter reading across the whole resistor network and record them as Figure W3(a) and W3(b), respectively. Circuit 2: Two-Loop Network Circuit TIONAL w ww Figure 3. A two-loop network with two power sources, V₁ and V₂ 1. Using TinkerCAD (https://www.tinkercad.com/), construct a two-loop net- work with two power sources V₁ and V₂ as shown in Figure 3. Take a screenshot of your constructed circuit. Record it as Figure W4. 2. Using the indicated current directions, measure the currents IR, and I, using an ammeter. Make sure that you connect the ammeter such that the current enters the meter through its positive terminal. 3. Measure the voltages VR, and VR, across each resistor using a voltmeter. In connect- ing the voltmeter, the positive probe should be connected to the resistor terminal with a higher potential, i.e., the side where the current enters. 4. Record the values in Table W3, taking note of the appropriate signs. 5. Calculate for the currents IR, and IR, passing through resistors R₁ and R₁, respec- tively, by applying Kirchhoff's rules using the specified theoretical voltage values in Circuit B and the resistance from the color bands. 6. Tabulate all computed values in Table W3 and present your solutions clearly on the space provided. Indicate also the correct direction of the currents through each resistor and the loops used in your calculations by sketching the circuit diagram. Solve for the theoretical voltages Va, and Va, across each resistor.
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