The document describes an experiment to measure the tangent of the dielectric loss angle (tan δ) of an unknown capacitor using a Schering bridge. Key steps include: connecting components like the analog board, function generator and power supply; adjusting the frequency to 1 kHz; balancing the bridge by minimizing sound from the speaker as the potentiometer R2 is adjusted; recording readings; and calculating the unknown capacitance, effective resistance, and dissipation factor using provided equations. The aim is to study measurement of capacitance, resistance, and losses using a Schering bridge circuit.

1. 2010
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Experiment No:
Title: Measurement of Tangent of Dielectric
Loss Angle (tan  ) by Schering Bridge.
Roll No:
Batch:
Date:
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DESIGNED BY, PROF. VIJAY BALU RASKAR

3. SPARK-KING ….. Unique solution for Learning. VBR
EXPERIMENT NO:
Measurement of Tangent of Dielectric Loss Angle (tan  )
by Schering Bridge
TITLE: Measurement of Tangent of Dielectric Loss Angle (tan  ) by Schering Bridge.
AIM: Measuring the value of unknown capacitance with the help of Schering Bridge.
APPARATUS:
 Analog Board, AB13
 DC Power Supply  12V from external source ST2612 Analog Tab
 Function Generator
 2mm patch cords
 Digital multimeter
THEORY:
Schering Bridge is the simplest method of comparing two capacitances and to
determine unknown capacitance. In figure, Zx consisting of an unknown capacitance Cx
in series with the resistance Rx and second arms are consisting of capacitor C3 and
third arm consisting of variable resistance R2 and fourth arm consists parallel
combination of resistance R1 and capacitor C1. The balance can be obtained by varying
the resistance R2 of third arm.
Cx = Capacitance with unknown capacitance
Rx = Effective resistance
C3 = Standard capacitor
R1, R2 = Non-inductive resistance
At balance, Z1Zx = Z2Z3
The value of D (Dissipation Factor for the capacitor) indicates the quality of the
capacitor. This bridge is used for measurement of small valued capacitors at low
voltages with high Precision.
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DESIGNED BY, PROF. VIJAY BALU RASKAR

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An AC Bridge, in its basic form, consists of four arms, a source of excitation and a
balance detector. In an AC bridge each of four arms are impedance, and the AC source
and a detector sensitive to small alternating potential differences. The usefulness of AC
bridge circuits is not restricted to the measurement of unknown impedances and
associated parameters like inductance, capacitance, storage factor, etc.
These circuits find other application in communication system and complex electronic
circuits. A.C. bridge are commonly used for phases shifting, providing feedback paths
for oscillators and amplifiers, filtering out undesirable signals and measuring the
frequency of audio signals. For measurement at low frequencies, the power line may act
as the source of the supply to bridge circuits. For higher frequencies electronic
oscillators are universally used as bridge source supplies. These oscillators have the
advantage that the frequency is constant easily adjustable and determinable with
accuracy the waveform is very close to a sine wave and their power output is sufficient
for most bridge measurements.
Detectors most commonly used for AC Bridge are,
1. Head Phones
2. Vibration Galvanometers
3. Tunable Amplifiers Detectors
Head phones are widely used as detectors at frequencies of 250Hz and up to 3 to
4KHz. They are most sensitive detectors for this range when working at a single
frequency a tuned detector normally gives the greatest sensitivity and discrimination
against harmonics in the supply.
Vibration galvanometers are extremely using for power and low audio frequency
ranges. Vibration galvanometers are manufactures to work at various frequency ranges
from 5 Hz to 1000Hz but are most commonly used below 200Hz as below this
frequency they are more sensitive than the head phones.
Tunable amplifiers detectors are the most versatile of the detectors. The transistors
amplifiers can be tuned electrically and thus can be made to respond to a narrow
bandwidth at the bridge frequency. The output of the amplifier is fed to a pointer type
instrument this detector can be used, over a frequency range of 10Hz to 100 KHz.
General Equation for Bridge balance:
Basic AC Bridge circuit is shown below the four arm of the bridge are impedance Z1,
Z2, Z3 and Z4. The condition for balance of bridge requires that there should be no
current through the detector. This requires that the potential difference between point b
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5. SPARK-KING ….. Unique solution for Learning. VBR
and point d should be zero. This will be the case when the voltage drop from a to b
equals the voltage drop from a to d both in magnitude and phase.
E1 = E2
I1Z1 = I2Z2
Also, at Balance,
I1 = I3 = E / (Z1 + Z2)
And I2 = I4 = E / ( Z2 + Z4)
Substitute the equation, We get,
Z1Z4 = Z2Z3
CONDITION FOR AC BRIDGE BALANCING:
Z1Z4 = Z2Z3 and 1   4   2   3
The phase angles are positive for inductive impedance and negative for capacitance
impedance.
PROCEDURE:-
1. Connect  12V DC power supply at their indicated position from external source
OR ST2612 analog Lab.
2. Connect function generator probes between Vin terminals.
3. Connect 2mm path chord between sockets d and a to calculate the value of Cx1
and Rx1.
4. Switch on power supply and function generator.
5. Adjust 1KHz frequency at function generator.
6. Voice will coming out from Speaker then rotate the potentiometer R2 up to
getting very low voice from Speaker.
7. Note down the readings and calculate the resistance R2 between potentiometer
(point e and point f)
8. Calculate the value from observation table.
9. Repeat all the steps from 1st to 9th
10. Switch off the power supply for the both.
RESULT:
The capacitance of capacitor Cx = _________
The effective resistance Rx = _________
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The dissipation factor D = _________
CONCLUSION:
We studied the measurement of unknown capacitance, Effective Resistance and
dissipation factor using Schering Bridge.
CIRCUIT DIAGRAM:
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OBSERVATION TABLE:-
SR R1() C1( F ) C 3( F ) R2() R 2C1 R1C 3 D  CxRx
Rx  Cx 
NO C3 R2
1
2
3
CALCULATION:-
R 2C1 R1C 3
 Rx  and Cx 
C3 R2
 D  CxRx
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DESIGNED BY, PROF. VIJAY BALU RASKAR