Aim: Study of Series RLC Circuit to;
1.
Calculate
the values of unknown parameters of RLC circuit.
2.
Determine the power factor of the
circuit.
3.
To draw a phasor diagram of the
circuit based on practical data and find out the applied voltage and power
factor from the phasor diagram.
Apparatus Required:
S.
No. 
Name
of Equipment 
Type 
Range 
Quantity 


1. 
Ammeter 
MC 
05A 
1 


3. 
Voltmeter 
MC 
0300V 
3 


4. 
Inductive Coil 
Variable 
5A, 250V 
1 


5. 
Rheostat 
Single tube 
500ohms, 5A 
1 


6. 
Capacitor 
 
 
1 


7. 
Single Phase variac 
 
230V, 10A 
1 





Theory: In the present circuit,
resistance R, inductor L and copulation C are connected in series across a
voltage Source V. Thus the current in all the elements is same, whereas voltage
across each element would be different. The resultant applied voltage V is the
phasor sum of all the voltages across these elements. In such a series circuit,
following basic relations can be derived:
Voltage across
the resistance, V_{R} = IR
Voltage across the inductance, V_{L} = IX_{L}
Voltage across the
capacitance, V_{C} = IXc
Power drawn by
the circuit, P =VI
Power factor of
the circuit,
Where,
X_{L} =
Inductive reactance =
X_{C}
Capacitive reactance =
The
power factor of such a circuit is lagging the power Factor of this dreat will
be leading Hence, by measuring the voltage across various elements, applied
voltage: current flowing in the circuit and the power consumed by the circuit,
all the parameters of the circuit can bá»‹ calkulated.
Circuit Diagram:
PROCEDURE:
1.
Connect
the circuit as per the circuit diagram shown in fig.
2.
Adjust
the setting of variac, so that applied voltage to the RLC series circuit is
zero.
3.
SwitchON
the main supply.
4.
Apply
a low voltage to RLC series circuit and record the readings of ammeter,
wattmeter and voltage across resistor, inductor, capacitor and across the
terminals C and E of the variac. Voltages should be measured by a single
voltmeter to increase the accuracy of measurement.
5.
Repeat
step 4 for increased voltage applied to the circuit. It is sufficient to record
3 or 4 set of readings.
6.
Switchoff
the main supply.
7.
Draw
the phasor diagram, corresponding to one set of reading, preferable at higher
voltage, and verify the calculated value of power factor.
Observation
Table:
S.
No. 
V
(V) 
I(mA) 
V_{R}(V) 
V_{L}(V) 
V_{C}(V) 
1. 
230.5 
0.4

51.7 
103.3 
320.2 
Calculation:
S.
No. 
R= 
X_{L}=

X_{C}
= 
Z
= 
P.F.
= 
1. 
129.25 
258.25 
800.5 
576.25 
0.231 
Precaucation:
1. Make
the connections properly.
2. Note
the readings of voltmeters and ammeters properly.
3. Remove
insulations from the connecting wire so as the current will flow properly
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