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Electric Circuits II - 16 INVESTIGATION 2(b): A CIRCUIT WITH MULTIPLE RESISTORS LEARNING OUTCOME: To build and analyse a circuit with multiple resistors, and find the net resistance across various terminals. APPARATUS: Four resistors of the same value, multimeter (ohm meter), cables ww.3 R R ww R 2. W- R Figure 12: A circuit with four resistors of equal resistance. METHOD The circuit shown above is built with four resistors of equal resistance. Using the symbol R as the resistor value, calculate the effective resistance (theoretical net resis- tance) between each pair of the terminals (1-2, 1-3,2-3,2-4,..etc) of the circuit you have built and enter in Table 1. A few points to recall: (a) how to add resistances in series or parallel (b) current passes only through closed loops. You can neglect the resistors connected to a loose end. Do the theoretical calculation of net resistance before coming to your laboratory session. Please remember that if you copy the answers from someone else, you will get good practice in copying, but you will not learn anything about circuits! In the lab, build the circuit in Figure 12 and measure the experimental values of net resistance between the terminals, and record in Table 1.
Electric Circuits II - 17 DATA AND CALCULATIONS Theoretical calculations of net resistance for the circuit shown in Figure 12: Terminal 1 - 2: Enter the net resistance in Table 1 in terms of R Terminal 1 - 3: Terminal 1 - 4: Terminal 2 - 3:
Electric Circuits II - 18 Terminal 2 - 4: Terminal 3 - 4: Table 1: Effective Resistances for the circuit in Figure 12. Terminals Algebraic Expression for the Effective Resistance for Figure 12 (in terms of R) Calculated Effective Resistance (92) Measured Resistances (92) 1-2 687 1-3 1002 2-3 1670 2-4 663 1667 3-4 Compare the last two columns and determine the experimental value of Rused to build your circuit Measure R directly with the digital multimeter and compare with your experimental R value.