Introduction
In the recent experiment, the overall objective was to understand the error associated with
the multimeters.
The nominal value of each resistor used was recorded. The actual value was
measured with a digital multimeter.
Also, an analog multimeter was used to measure the
voltage across two resistors.
During this experiment formulas from previous laboratory experiments were used.
These
formulas were Kirchhoff’s Voltage Law, Kirchhoff’s Current Law, and Ohm’s law (Ohm’s law
is shown by equation one).
Lab required that the ideas of combining resistors in series or in
parallel circuits be applied.
The equation for voltage division was used in this laboratory to
calculate the voltage across each resistor in the circuit. Voltage division was applied in series
circuits.
=
V IR
(Eq.1)
=
+
+
1Req
1R1 1R2 1R2
…
1Rn
(Eq. 2)
=
+
+
Req R1 R2 R3
…
Rn
(Eq. 3)
=
+
Req R1R2R1 R2
(Eq.4)
=
+
=
+
V1 VsR1R1 R2 and V2 VsR2R1 R2
(Eq.5)
The circuit being analyzed is circuit 1,shown in Figure 1. on pg. 2, and consists of a D.C.
voltage source and three sets of two resistors in parallel to each set.
1
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View Full DocumentFigure 1. Circuit 1
The voltage across of the resistors in series was calculated by using voltage division.
The currents in each branch were calculated by using ohm’s law and a series combination of
resistors in each branch.
Voltmeters connected across a resistor provide a second path for the
current to flow through. The voltmeter has an internal resistance.
The current flowing through
the branches that did not contain the voltmeter were increased.
The current flowing through the
branch that contained the voltmeter were decreased.
The equivalent resistance of the meter and
the resistor were calculated using the equivalent resistance formulas.
Then the voltage across the
resistor and voltmeter were calculated by using voltage division.
The formulas for voltage
division and equivalent resistances were given.
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 Spring '11
 Ahn
 Resistor, Electrical resistance, Electrical impedance, Series and parallel circuits

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