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Potentiometer and AC
Bridges
Electrical Measurement and Instrumentation (EE-336)
1
G
Unknown Voltage Source
Battery Voltage Rheostat
KO L
Contents
• Basic Potentiometer
• Standardization of Potentiometer
• Measuring unknown voltage
• Crompton’s Potentiometer
• Examples
• Applications of Potentiometer
• AC Bridges
• Impedance Bridge
• Maxwell’s Bridge
• Hay’s Bridge
• Other Bridges
• Frequency Measurement using Wein’s Bridge
2
Basic Potentiometer
• Potentiometers are used for finding unknown
voltages
• It consists of an external voltage source V, a
slide wire mechanism Rs and a rheostat Rh
• It uses the fixed battery source V for
developing voltage across the whole circuit.
• The operation develops a working current
across the whole series circuit of Rt= Rs+Rh
• Rh is used to control the total current across
the circuit
• Rs is used for measuring unknown potentials
that are connected directly to this wire.
• The connection between unknown voltage
source and the Slide wire contains a
galvanometer Both for standardizing and
measuring unknown voltage
3
Standardizing Potentiometer
• A fixed voltage source is connected with the slide
wire via a rheostat.
• The resistance of slide wire is known so rheostat controls
current in it and can hence change the total voltage
across slide wire.
• Removing rheostat will make all the fixed battery voltage
to appear on the slide wire.
• We do not do that because the slide wire will behave as a
short circuit path.
• A known standard cell or source is connected to slide
wire with a galvanometer in between it
• When the voltage of standard source and the slide
wire becomes equal, the galvanometer shows zero
deflection. That point is marked on the slide wire.
• As resistance and voltage are linear functions of
length. So the total length gives total voltage across
the wire.
• Please note that if we do not connect the rheostat
then this process was not needed.
G
Standard Cell
Battery Voltage Rheostat
KO L
4
Measuring Unknown voltage
• The unknown emf source is connected
and the standard source is removed
after the previous process of marking
and grading the scale.
• The Key K is moved left or right to have
zero deflection on the galvanometer G.
• After attaining zero deflecting the
length of the slide wire is used for
calculating the voltage.
𝑉𝑂𝐾 =
𝑙 𝑂𝐾. 𝑉𝑠
𝑙 𝑂𝐿
G
Unknown Voltage Source
Battery Voltage Rheostat
KO L
5
Crompton’s Potentiometer
• The Rheostat in a simple potentiometer is added
with a wound resistor and a graded-knobbed
voltage divider.
• Now the knob on wound wire will give us the
balance zero point, as shown
• Rheostat is used for limiting the current in the
circuit and voltage divider knob is used for reducing
the voltage on a graded scale, so both devices does
the same thing.
• The resistance of Rheostat is unknown while
standardizing the mechanism, as shown
• Crompton’s Potentiometer also posses a protection
resistance of 10KΩ. The Short-circuiting Key is
pressed while taking reading and kept in the circuit
while not taking reading so that the G doesn’t loss
its qualities by excessing usage in series connection.
6
Example 5.1
7
8
Example 5.2
9
10
Applications of Potentiometer
• Measurement of current
• Measurement of high voltage
• Measurement of resistance
• Measurement of power
• Calibration of voltmeter
• Calibration of ammeter
• Calibration of wattmeter
11
AC Bridges
Electrical Measurement and Instrumentation (EE-336)
12
Contents
• Introduction to AC Bridges
• Impedance Bridge
• Maxwell’s Bridge
• Hay’s Bridge
• Other Bridges
• Frequency Measurement using Wein’s Bridge
13
AC Bridge
• vibration galvanometers can be designed to work as detectors over the
frequency range of 5 Hz to 1000 Hz, they have highest sensitivity when
operated for frequencies below 200 Hz.
•
Head phones or audio amplifiers are popularly used as balance detectors in
ac bridges at frequencies of 250 Hz and above, up to 3 to 4 kHz.
•
Transistor amplifier with frequency tuning facilities can be very effectively
used as balance detectors with ac bridges. With proper tuning, these can be
used to operate at a selective band of frequencies with high sensitivity. Such
detectors can be designed to operate over a frequency rang
Selecting the Detector
14
Equation for Impedance Bridge
15
Equation for General Impedance Bridge at
Balance Condition
16
Example
17
Maxwell’s Inductance Bridge
18
Maxwell’s Inductance–Capacitance Bridge
19
Advantages and Limitations of Maxwell’s
Bridge
20
Hay’s Bridge (Measuring Inductance)
21
Other Bridges
• Anderson Bridge (Modified Maxwell Bridge for measuring inductance)
• Owen’s Bridge (Measuring Capacitance)
• De Sauty’s Bridge (Measuring Capacitance)
• Schering bridges (Capacitance, dissipation factor, loss angles)
22
Frequency Measurement by Wein’s Bridge
23
The End
24

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4. emi potentiometer and ac bridges

  • 1. Potentiometer and AC Bridges Electrical Measurement and Instrumentation (EE-336) 1 G Unknown Voltage Source Battery Voltage Rheostat KO L
  • 2. Contents • Basic Potentiometer • Standardization of Potentiometer • Measuring unknown voltage • Crompton’s Potentiometer • Examples • Applications of Potentiometer • AC Bridges • Impedance Bridge • Maxwell’s Bridge • Hay’s Bridge • Other Bridges • Frequency Measurement using Wein’s Bridge 2
  • 3. Basic Potentiometer • Potentiometers are used for finding unknown voltages • It consists of an external voltage source V, a slide wire mechanism Rs and a rheostat Rh • It uses the fixed battery source V for developing voltage across the whole circuit. • The operation develops a working current across the whole series circuit of Rt= Rs+Rh • Rh is used to control the total current across the circuit • Rs is used for measuring unknown potentials that are connected directly to this wire. • The connection between unknown voltage source and the Slide wire contains a galvanometer Both for standardizing and measuring unknown voltage 3
  • 4. Standardizing Potentiometer • A fixed voltage source is connected with the slide wire via a rheostat. • The resistance of slide wire is known so rheostat controls current in it and can hence change the total voltage across slide wire. • Removing rheostat will make all the fixed battery voltage to appear on the slide wire. • We do not do that because the slide wire will behave as a short circuit path. • A known standard cell or source is connected to slide wire with a galvanometer in between it • When the voltage of standard source and the slide wire becomes equal, the galvanometer shows zero deflection. That point is marked on the slide wire. • As resistance and voltage are linear functions of length. So the total length gives total voltage across the wire. • Please note that if we do not connect the rheostat then this process was not needed. G Standard Cell Battery Voltage Rheostat KO L 4
  • 5. Measuring Unknown voltage • The unknown emf source is connected and the standard source is removed after the previous process of marking and grading the scale. • The Key K is moved left or right to have zero deflection on the galvanometer G. • After attaining zero deflecting the length of the slide wire is used for calculating the voltage. 𝑉𝑂𝐾 = 𝑙 𝑂𝐾. 𝑉𝑠 𝑙 𝑂𝐿 G Unknown Voltage Source Battery Voltage Rheostat KO L 5
  • 6. Crompton’s Potentiometer • The Rheostat in a simple potentiometer is added with a wound resistor and a graded-knobbed voltage divider. • Now the knob on wound wire will give us the balance zero point, as shown • Rheostat is used for limiting the current in the circuit and voltage divider knob is used for reducing the voltage on a graded scale, so both devices does the same thing. • The resistance of Rheostat is unknown while standardizing the mechanism, as shown • Crompton’s Potentiometer also posses a protection resistance of 10KΩ. The Short-circuiting Key is pressed while taking reading and kept in the circuit while not taking reading so that the G doesn’t loss its qualities by excessing usage in series connection. 6
  • 8. 8
  • 10. 10
  • 11. Applications of Potentiometer • Measurement of current • Measurement of high voltage • Measurement of resistance • Measurement of power • Calibration of voltmeter • Calibration of ammeter • Calibration of wattmeter 11
  • 12. AC Bridges Electrical Measurement and Instrumentation (EE-336) 12
  • 13. Contents • Introduction to AC Bridges • Impedance Bridge • Maxwell’s Bridge • Hay’s Bridge • Other Bridges • Frequency Measurement using Wein’s Bridge 13
  • 14. AC Bridge • vibration galvanometers can be designed to work as detectors over the frequency range of 5 Hz to 1000 Hz, they have highest sensitivity when operated for frequencies below 200 Hz. • Head phones or audio amplifiers are popularly used as balance detectors in ac bridges at frequencies of 250 Hz and above, up to 3 to 4 kHz. • Transistor amplifier with frequency tuning facilities can be very effectively used as balance detectors with ac bridges. With proper tuning, these can be used to operate at a selective band of frequencies with high sensitivity. Such detectors can be designed to operate over a frequency rang Selecting the Detector 14
  • 16. Equation for General Impedance Bridge at Balance Condition 16
  • 20. Advantages and Limitations of Maxwell’s Bridge 20
  • 21. Hay’s Bridge (Measuring Inductance) 21
  • 22. Other Bridges • Anderson Bridge (Modified Maxwell Bridge for measuring inductance) • Owen’s Bridge (Measuring Capacitance) • De Sauty’s Bridge (Measuring Capacitance) • Schering bridges (Capacitance, dissipation factor, loss angles) 22
  • 23. Frequency Measurement by Wein’s Bridge 23