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ELL 100
LAB REPORT
EXPERIMENT -4
A STUDY OF STEADY STATE RESPONSE OF RLC CIRCUITS
(Performed on the 28th of august of 2015)
-Kamalnath Polakam(me)
2015cs10244
GROUP 17
Cs1150244@cse
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ABSTRACT: In reality (unlike in theory) we have several problems
with the characteristics of circuit elements
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There is a resistance associated with it which
alters its behaviour in a practical circuit
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It can be
understood as follows – a perfect inductor would have a voltage drop
which is at 900 phase difference from a resistor
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The component of voltage drop which is due to the resistance
pushes the phase of the net voltage drop towards that of the resistance
in the circuit
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This effects the modelling of
circuits
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It is natural for the
question of why the ideal case of resistor and inductor to have a phase
difference of 900
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Whereas the voltage drop
across the inductor is proportional to the derivative of current
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Since sine and cosine have a 900 phase difference between them the
voltage across inductor and resistor also do
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Systems with non-sinusoidal variables are also analysed by breaking it
into sinusoidal waveforms
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OBJECTIVE: To draw the phasor diagrams of a series RLC circuit and
compare the theoretical and experimental results
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EXPERIMENTAL PROCEDURE:
1)
On the earthing terminal of breadboard the positive terminal of
the signal generator is connected
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3)
In series with the above resistor a capacitor is also connected
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The negative terminal of the source is then connected in series
with the above inductor
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Resistance of the inductor is found and made note of using a
digital multimeter
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The voltage drops across the
inductor, resistor and capacitor are measured using a multimeter
for all the cases
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(For simplicity this step has been done
only for one case i
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500 Hz and 5 V)
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Resistance of inductor is also calculated from phase angles
obtained from lissajous figures
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CIRCUIT DIAGRAM:
The corresponding breadboard layout is the following:
Here red alligator clips are positive terminals and black are negative
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R
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The following are the lissajous patterns for the same:
1)
For VS and VR
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Phase angle is 640
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At 500 Hz
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At
frequency 500 Hz
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THEORETICAL CALCULATIONS:
Using a Multimeter the resistance of inductor is measured and is found
to be 85
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This is used wherever necessary in the theoretical
calculations
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Phasor diagram for theoretical values obtained
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The value of internal resistance (r) is calculated from this phasor
diagram to be 97 ohms
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The white line on the orange bar represents % error associated with
reading
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The white line on orange bars here also represents the same
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The white line on the orange bars represent the same here also
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The black lines on the blue and orange bars are represent the %
errors associated with measurements
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SOURCE OF ERRORS:
1)
Resistance of connecting wires is not considered
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Due to thickness of
line on screen of C
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O there is an inherent error in noting the
reading
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There will be some leakage current
associated with it
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There is a difference in the true value of resistance and the
labelled value
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