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TUTORIAL 1a
1) 6 different students tuned a circuit for resonance and the following values for the
resonant frequency of the circuit were recorded. Compute:
a) Arithmetic mean. (540.17)
b) Average deviation, D. (3.805)
c) Standard deviation, S. (5.71)
d) Probable error of one reading, r. (3.851)
e) Probable error of mean, rm. (1.722)
2. Given the expected voltage value across a resistor is 80V. The measurement is 79V.
Calculate,
i. The absolute error
ii. The % of error
iii. The relative accuracy
iv. The % of accuracy
(ANSWER)
i. Absolute error, e=1V
Ii. % error = 1.25%
Iii. Relative accuracy, A = 0.9875
iv. % accuracy, a =98.75%
Tutor Question (Summation Error)
3. A Current of 4.0 ±0.05 A flows through a resistor of 300 ± 0.4 Ω. Calculate
the power dissipated and the limiting error.
Power dissipated;
Ans:4800W +/- 2.63% (Percentage)
:4800 +/- 126.24W (Absolute)
Limiting Error;
Ans:126.24W
4. Explain the definition of Instrumentation system and what is three basic functions of
instrument?
instrumentation system is a physical system, which is collection of physical objects connected in such a way to give the desired output response. May be defined as an assembly of various instruments and other components interconnected to measure, analyze and control the electrical, thermal, hydraulic and other non-electrical physical quantities.
Three basic function is Indicating, Recording and Controlling
5. The unknown resistance is determined by Wheatstone bridge and is given by Rx
=R2xR3/R1
where;
R1= 90 ± 0.5% W
R2= 900 ± 0.8% W
R3= 825 ± 0.6% W
Determine the magnitude of the resistance and the limiting error in % and ohms for the unknown resistance Rx.
Ans: [ Rx=8.25kW, ±1.9% ±156.75W]
Tutorial Potentiometer
6. In the potentiometer circuit shown in figure, the balance point with R = 10Ω when switch S1 is closed & S2 is open is 50 cm, while that when S2 is closed & S1 is open is 60 cm. What is the value of ‘x’?
Answer : x = 2Ω
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