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RLC Exp

The document outlines an experiment to analyze the time response of series and parallel RLC circuits using Simulink in MATLAB R2010a on Windows 11. It explains the theoretical background of series and parallel RLC circuits, including the relationships between voltage and current for each component. Circuit diagrams for both series and parallel configurations are provided to illustrate the concepts discussed.

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230105015
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24 views4 pages

RLC Exp

The document outlines an experiment to analyze the time response of series and parallel RLC circuits using Simulink in MATLAB R2010a on Windows 11. It explains the theoretical background of series and parallel RLC circuits, including the relationships between voltage and current for each component. Circuit diagrams for both series and parallel configurations are provided to illustrate the concepts discussed.

Uploaded by

230105015
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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EXPERIMENT - 3

Objective – To analyze the time response of series and parallel


RLC circuit using Simulink.

SOFTWARE REQURIED:-
1. MATLAB R2010a.
2. Windows 11.
3. Simulink

THEORY:-
Simulink is a block diagram-based simulation tool that is part of the MATLAB
environment, widely used for modeling, simulating, and analyzing dynamic systems. It
allows users to model complex systems with time-varying behaviors, such as control
systems, electrical circuits, signal processing, and mechanical systems. Simulink offers
a flexible platform for simulating and visualizing system behavior before physical
implementation, ensuring design accuracy and optimization.

Series RLC Circuit

The series RLC circuit consists of a resistor (R), inductor (L), and capacitor (C)
connected in series. The voltage across each component follows a distinct time-
dependent relationship, governed by Kirchhoff's Voltage Law (KVL)

V(t) = VR(t) + VC(t) + VL(t)

ARYAN SHARMA(230105015)
The series RLC circuit above has a single loop with the instantaneous current flowing through
the loop being the same for each circuit element. Since the inductive and capacitive
reactance’s XL and XC are a function of the supply frequency, the sinusoidal response of a series
RLC circuit will therefore vary with frequency, ƒ. Then the individual voltage drops across each
circuit element of R, L and C element will be “out-of-phase” with each other .

The instantaneous voltage across a pure resistor, VR is “in-phase” with current


The instantaneous voltage across a pure inductor, VL “leads” the current by 90o
The instantaneous voltage across a pure capacitor, VC “lags” the current by 90o
Therefore, VL and VC are 180o “out-of-phase” and in opposition to each other.

CIRCUIT DIAGRAM:-

Fig(1) : Circuit Diagram of series RLC circuit with AC Voltage Source

ARYAN SHARMA(230105015)
Parallel RLC Circuit

In parallel RLC circuit, we can see that the supply voltage, V S is common to all three
components whilst the supply current IS consists of three parts. The current flowing through
the resistor, IR, the current flowing through the inductor, I L and the current through the
capacitor, IC.

But the current flowing through each branch and therefore each component will be different
to each other and also to the supply current, I S. The total current drawn from the supply will
be the vector sum of the three individual branch currents .

CIRCUIT DIAGRAM:-

Fig(2) : Circuit Diagram of parallel RLC circuit with AC Current Source

ARYAN
SHARMA(230105015)

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