Tutorial 1 Ese

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TUTORIAL 1 1. Explain the difference between systematic and gross errors. What are the typical sources of these two types of errors? 2. A circuit measurement for resistance of 550 Ω is satisfied by connecting together two resistors of nominal values 220 Ω and 330 Ω in series. If each resistor has a tolerance of ±2%, calculate the error in the circuit in both absolute and percent error.[ans:11, 2%] 3. The current through a resistor is 1.5 A but measurement yields a value of 1.46 A. Compute the; (i) absolute error (ii) percentage error (iii) relative error (iv) relative accuracy (v) Accuracy. [ans: 0.04A, 2.66%, 0.98, 98%] 4. Six students using one oscilloscope with the following measured the output voltage of an amplifier; (i) 20.20V (ii) 19.90 (iii) 20.05V (iv) 20.05V (v) 19.85V (vi) 20.00V. Calculate the precision of the fourth measurement and which of the above measurement is the most precise? [ans: 0.9979, fifth] 5. A resistance box has the following components and tolerances: 10 resistors each of 100KΩ ±0.05% 10 resistors each of 10KΩ ±0.05% 10 resistors each of 1KΩ ±0.05% 10 resistors each of 100Ω ±0.1% 10 resistors each of 10Ω ±0.5% Determine both in ohms and percentage the limit of uncertainty in setting of 453.72KΩ. [ans:227.3Ω, 0.05%] 6. Eight students tuned a circuit for resonance and the following values for the resonant frequency of the circuit were recorded. Compute the arithmetic mean, the average deviation, standard deviation and probable error for the readings. [ans: 539.25, 5.75, 6.54,4.412] |Reading no. |Resonant freq.(KHz) | |1 |532 | |2 |548

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