BE 2350 Chapter : Solutions To Homework 2
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3. 3 values given are: v = 20 volts, Let the current flowing round the circuit with the voltmeter in position be i. The resistance abr is composed of two resistances 2r and mr in parallel. The value of abr can be calculated from the formula for the effective resistance of two resistors in parallel: Substituting in for the given numerical values of 2r and mr : According to ohm"s law, i is given by: Then the voltage across ab can be calculated from ohm"s law as: Thus the reading on the voltmeter is 9. 5 volts. (ii) Let the current flowing tround the circuit without the voltmeter in position be i . I can be calculated simply from ohm"s law as: The voltage across 2v can be calculated as. Thus, the voltage across ab when the voltmeter is not loading the circuit is 10. 0 volts. (iii) The measurement error due to the loading effect of the voltmeter is simply.
