Linear Circuit Analysis Lab Page 1
Linear Circuit Analysis Lab Page 1
Linear Circuit Analysis Lab Page 1
DATE OF
: 16th April 2015
EXPERIMENT
LAB NUMBER : 03
Objective:
The objective of this experiment is to analyze simple resistive circuits in DC. The
circuits considered here are: resistors in parallel, resistors in Combinational. This
experiment will allow the experimental verification of the theoretical analysis.
Ohm’s law:
The voltage V (in volts, V) across a resistor is directly proportional to the current I
(in amperes, A) flowing through it. The constant of proportionality is the resistance
R (in ohms).
Resistors in parallel:
An example of resistors connected in parallel is shown in figure3.2.
The voltage across N elements in parallel is the same for all of them.
The current through the ith element is Ii=Vi/Ri.The sum of the currents
through each element is equal to the current provided to the entire parallel
combination.
various branches of such a circuit will always divide in such a way as to minimize the
total energy expended.
Figure: 3-1
Analysis:
Calculate the percentage error between the measured and theoretical data and
complete all the entries in Tables 3-1. The percentage error is given by:
Where dth and dm are the theoretical and measured data respectively.
Circuit Diagram:
Series Circuits:
Parallel Circuits:
Figure 3-3
Figure: 3-4
This circuit is neither simple series nor simple parallel. Rather, it contains elements
of both. Because the circuit is a combination of both series and parallel, we cannot
apply the rules for voltage, current, and resistance to begin analysis like we could
when the circuits were one way or the other.
If we are able to identify which parts of the circuit are series and which parts are
parallel, we can analyze it in stages, approaching each part one at a time, using the
appropriate rules to determine the relationships of voltage, current, and resistance.
Kirchhoff’s Current Law (KCL) states that the sum of the currents entering into any
node/point/junction is equal to the sum of the currents leaving that
node/point/junction. In the figure 3-5, if KCL is applied then the equation is
IT = I1+I2+I3 or IT-I1-I2-I3=0
Conclusion:
In this experiment we verify that the voltage drop across each resistance N resistors
connected in parallel combination is same.
The current in each resistance is different depending upon its resistance.
By Kirchhoff’s current law we verified that the sum of current in each resistance is equal to
the current in series circuit.