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UNIVERSITI MALAYSIA PERLIS FUNDAMENTAL OF ELECTRICAL ENGINEERING EMT 113/4 EXPERIMENT 7 THE WHEATSTONE BRIDGE MARKS Results & Calculation 21 NAME : MATRIC NO. : PROGRAMME : DATE : Discussion Conclusion Total % 10 5 36 100 EMT 113/4 Sem II 2009/2010 The Wheatstone Bridge EXPERIMENT 7 THE WHEATSTONE BRIDGE 7.1 OBJECTIVE: To analyze a basic Wheatstone bridge by determined the percentage error of Ig in unbalanced condition using Thevenin’s theorem. 7.2 EQUIPMENT & COMPONENT: 1 dc power supply 1 galvanometer (uA) 1 digital multimeter 3 resistors, 2.2kΩ ± 5%, 1 resistor, 2.7kΩ ± 5% 1 potentiometer 10kΩ 7.3 INTRODUCTION: When the Wheatstone bridge is in unbalanced condition, current flows through the galvanometer, causing a deflection of its pointer. The amount of deflection is a function of sensitivity of the galvanometer. A more sensitive galvanometer will deflects by a greater amount for the same current. To determine the amount of deflection that would result for particular degree of unbalance, the Thevenin’s theorem is applied. Since we are interested in determine the current through the galvanometer or the meter movement, the Thevenin’s equivalent is finding as seen by the galvanometer. PUSAT PENGAJIAN KEJURUTERAAN MIKROELEKTRONIK 1 EMT 113/4 Sem II 2009/2010 7.4 The Wheatstone Bridge PROCEDURE: 1. Measure the actual value of the resistors R1, R2, R3, and R4 and record the values. 2. Construct the circuit as shown in Fig. 7.2 below. Figure 7.2: Basic Wheatstone bridge 3. Apply 4V to the circuit and record the galvanometer current as Ig3. 4. Disconnect the galvanometer from the circuit of Fig. 7.2 and calculate Thevenin’s equivalent circuit as looking back into the terminal a and b. Use the measured value for the resistor R1, R2, R3, and R4. Show the step of calculation. Record Vth1, and Rth1. 5. Construct the Thevenin’s equivalent circuit as calculated in previous step. Connect the galvanometer to the output terminals of a and b as in Fig.7.3 below. Measure the galvanometer current and record as Ig1. a Rth1 Vth1 Ig1 G b Figure 7.3: Thevenin’s equivalent circuit 6. Apply and calculate the following approximations of Thevenin’s equivalent voltage and resistance to your original circuit of Fig.7.2. r R RR r and R th 2 Vth 2 V 2 2R r 4R 2r PUSAT PENGAJIAN KEJURUTERAAN MIKROELEKTRONIK 2 EMT 113/4 Sem II 2009/2010 The Wheatstone Bridge where, R 2.2k r R 4 R Show the step of calculation and record the value. 7. Next determine deflection current in the galvanometer, Ig2 using following formula. Vth2 Ig 2 ; which, Rg = internal resistance of galvanometer = 2.3Ω R th2 R g 8. Calculate and record the percentage of error between the Ig2 and Ig3, and between Ig1 and Ig2. 9. Calculate and record the percentage of error between the Vth1 and Vth2. 10. Calculate and record the percentage of error between the Rth1 and Rth2. PUSAT PENGAJIAN KEJURUTERAAN MIKROELEKTRONIK 3 EMT 113/4 Sem II 2009/2010 7.5 The Wheatstone Bridge RESULT Your results should include: i. ii. iii. All measurements values Percentage error Calculation of the Thevenin’s Equivalent Voltage and Resistance 7.6 DISCUSSION: Your discussion should include: i) 7.7 Explanations on your results. CONCLUSION: Based on data, make your overall conclusion by referring to the objectives of this experiment. PUSAT PENGAJIAN KEJURUTERAAN MIKROELEKTRONIK 4