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OutlineIntroduction to AC Bridges
Maxwell’s BridgeHay Bridge
Schering BridgeWein Bridge
Sajan P. PhilipAP/ECE/BIT
June 16, 2013
Sajan P. Philip AP/ECE/BIT AC Bridges
Schering Bridge
Schering Bridge by Sajan P. Philip, is licensed under the Creative Commons Attribution-ShareAlike 4.0 International License. You are free to use, distribute and modify it, including for commercial purposes, provided you acknowledge the source and share-alike.To view a copy of this license, visit http://creativecommons.org/licenses/by-sa/4.0/
OutlineIntroduction to AC Bridges
Maxwell’s BridgeHay Bridge
Schering BridgeWein Bridge
Introduction to Schering BridgeBalance Equation of Schering Bridge
Schematic Diagram of Schering Bridge 20
Sajan P. Philip AP/ECE/BIT AC Bridges
OutlineIntroduction to AC Bridges
Maxwell’s BridgeHay Bridge
Schering BridgeWein Bridge
Introduction to Schering BridgeBalance Equation of Schering Bridge
Introduction to Schering Bridge 21
The Schering bridge, one of the most important ac bridges is used extensivelyfor the measurement of Capacitors.
The basic circuit arrangement is shown in the schematic.Arm 1 contains a parallel combination of a resistor and a capacitor.The standard arm contains only a capacitor.The standard capacitor is usually a high quality mica capacitor for generalmeasurement.The standard capacitor is usually an air capacitor for insulation measurement.A good quality mica capacitor has a very low resistance losses and therefore a phase angle of approx. 90degrees.An air capacitor when designed carefully has a very stable value and a very small electric field.
Hence insulating material to be tested can easily be kept out of any strong fields.
Sajan P. Philip AP/ECE/BIT AC Bridges
OutlineIntroduction to AC Bridges
Maxwell’s BridgeHay Bridge
Schering BridgeWein Bridge
Introduction to Schering BridgeBalance Equation of Schering Bridge
Introduction to Schering Bridge 21
The Schering bridge, one of the most important ac bridges is used extensivelyfor the measurement of Capacitors.The basic circuit arrangement is shown in the schematic.
Arm 1 contains a parallel combination of a resistor and a capacitor.The standard arm contains only a capacitor.The standard capacitor is usually a high quality mica capacitor for generalmeasurement.The standard capacitor is usually an air capacitor for insulation measurement.A good quality mica capacitor has a very low resistance losses and therefore a phase angle of approx. 90degrees.An air capacitor when designed carefully has a very stable value and a very small electric field.
Hence insulating material to be tested can easily be kept out of any strong fields.
Sajan P. Philip AP/ECE/BIT AC Bridges
OutlineIntroduction to AC Bridges
Maxwell’s BridgeHay Bridge
Schering BridgeWein Bridge
Introduction to Schering BridgeBalance Equation of Schering Bridge
Introduction to Schering Bridge 21
The Schering bridge, one of the most important ac bridges is used extensivelyfor the measurement of Capacitors.The basic circuit arrangement is shown in the schematic.Arm 1 contains a parallel combination of a resistor and a capacitor.
The standard arm contains only a capacitor.The standard capacitor is usually a high quality mica capacitor for generalmeasurement.The standard capacitor is usually an air capacitor for insulation measurement.A good quality mica capacitor has a very low resistance losses and therefore a phase angle of approx. 90degrees.An air capacitor when designed carefully has a very stable value and a very small electric field.
Hence insulating material to be tested can easily be kept out of any strong fields.
Sajan P. Philip AP/ECE/BIT AC Bridges
OutlineIntroduction to AC Bridges
Maxwell’s BridgeHay Bridge
Schering BridgeWein Bridge
Introduction to Schering BridgeBalance Equation of Schering Bridge
Introduction to Schering Bridge 21
The Schering bridge, one of the most important ac bridges is used extensivelyfor the measurement of Capacitors.The basic circuit arrangement is shown in the schematic.Arm 1 contains a parallel combination of a resistor and a capacitor.The standard arm contains only a capacitor.
The standard capacitor is usually a high quality mica capacitor for generalmeasurement.The standard capacitor is usually an air capacitor for insulation measurement.A good quality mica capacitor has a very low resistance losses and therefore a phase angle of approx. 90degrees.An air capacitor when designed carefully has a very stable value and a very small electric field.
Hence insulating material to be tested can easily be kept out of any strong fields.
Sajan P. Philip AP/ECE/BIT AC Bridges
OutlineIntroduction to AC Bridges
Maxwell’s BridgeHay Bridge
Schering BridgeWein Bridge
Introduction to Schering BridgeBalance Equation of Schering Bridge
Introduction to Schering Bridge 21
The Schering bridge, one of the most important ac bridges is used extensivelyfor the measurement of Capacitors.The basic circuit arrangement is shown in the schematic.Arm 1 contains a parallel combination of a resistor and a capacitor.The standard arm contains only a capacitor.The standard capacitor is usually a high quality mica capacitor for generalmeasurement.
The standard capacitor is usually an air capacitor for insulation measurement.A good quality mica capacitor has a very low resistance losses and therefore a phase angle of approx. 90degrees.An air capacitor when designed carefully has a very stable value and a very small electric field.
Hence insulating material to be tested can easily be kept out of any strong fields.
Sajan P. Philip AP/ECE/BIT AC Bridges
OutlineIntroduction to AC Bridges
Maxwell’s BridgeHay Bridge
Schering BridgeWein Bridge
Introduction to Schering BridgeBalance Equation of Schering Bridge
Introduction to Schering Bridge 21
The Schering bridge, one of the most important ac bridges is used extensivelyfor the measurement of Capacitors.The basic circuit arrangement is shown in the schematic.Arm 1 contains a parallel combination of a resistor and a capacitor.The standard arm contains only a capacitor.The standard capacitor is usually a high quality mica capacitor for generalmeasurement.The standard capacitor is usually an air capacitor for insulation measurement.
A good quality mica capacitor has a very low resistance losses and therefore a phase angle of approx. 90degrees.An air capacitor when designed carefully has a very stable value and a very small electric field.
Hence insulating material to be tested can easily be kept out of any strong fields.
Sajan P. Philip AP/ECE/BIT AC Bridges
OutlineIntroduction to AC Bridges
Maxwell’s BridgeHay Bridge
Schering BridgeWein Bridge
Introduction to Schering BridgeBalance Equation of Schering Bridge
Introduction to Schering Bridge 21
The Schering bridge, one of the most important ac bridges is used extensivelyfor the measurement of Capacitors.The basic circuit arrangement is shown in the schematic.Arm 1 contains a parallel combination of a resistor and a capacitor.The standard arm contains only a capacitor.The standard capacitor is usually a high quality mica capacitor for generalmeasurement.The standard capacitor is usually an air capacitor for insulation measurement.A good quality mica capacitor has a very low resistance losses and therefore a phase angle of approx. 90degrees.
An air capacitor when designed carefully has a very stable value and a very small electric field.
Hence insulating material to be tested can easily be kept out of any strong fields.
Sajan P. Philip AP/ECE/BIT AC Bridges
OutlineIntroduction to AC Bridges
Maxwell’s BridgeHay Bridge
Schering BridgeWein Bridge
Introduction to Schering BridgeBalance Equation of Schering Bridge
Introduction to Schering Bridge 21
The Schering bridge, one of the most important ac bridges is used extensivelyfor the measurement of Capacitors.The basic circuit arrangement is shown in the schematic.Arm 1 contains a parallel combination of a resistor and a capacitor.The standard arm contains only a capacitor.The standard capacitor is usually a high quality mica capacitor for generalmeasurement.The standard capacitor is usually an air capacitor for insulation measurement.A good quality mica capacitor has a very low resistance losses and therefore a phase angle of approx. 90degrees.An air capacitor when designed carefully has a very stable value and a very small electric field.
Hence insulating material to be tested can easily be kept out of any strong fields.
Sajan P. Philip AP/ECE/BIT AC Bridges
OutlineIntroduction to AC Bridges
Maxwell’s BridgeHay Bridge
Schering BridgeWein Bridge
Introduction to Schering BridgeBalance Equation of Schering Bridge
Introduction to Schering Bridge 21
The Schering bridge, one of the most important ac bridges is used extensivelyfor the measurement of Capacitors.The basic circuit arrangement is shown in the schematic.Arm 1 contains a parallel combination of a resistor and a capacitor.The standard arm contains only a capacitor.The standard capacitor is usually a high quality mica capacitor for generalmeasurement.The standard capacitor is usually an air capacitor for insulation measurement.A good quality mica capacitor has a very low resistance losses and therefore a phase angle of approx. 90degrees.An air capacitor when designed carefully has a very stable value and a very small electric field.
Hence insulating material to be tested can easily be kept out of any strong fields.
Sajan P. Philip AP/ECE/BIT AC Bridges
OutlineIntroduction to AC Bridges
Maxwell’s BridgeHay Bridge
Schering BridgeWein Bridge
Introduction to Schering BridgeBalance Equation of Schering Bridge
Introduction to Schering Bridge 21
The Schering bridge, one of the most important ac bridges is used extensivelyfor the measurement of Capacitors.The basic circuit arrangement is shown in the schematic.Arm 1 contains a parallel combination of a resistor and a capacitor.The standard arm contains only a capacitor.The standard capacitor is usually a high quality mica capacitor for generalmeasurement.The standard capacitor is usually an air capacitor for insulation measurement.A good quality mica capacitor has a very low resistance losses and therefore a phase angle of approx. 90degrees.An air capacitor when designed carefully has a very stable value and a very small electric field.
Hence insulating material to be tested can easily be kept out of any strong fields.
Sajan P. Philip AP/ECE/BIT AC Bridges
OutlineIntroduction to AC Bridges
Maxwell’s BridgeHay Bridge
Schering BridgeWein Bridge
Introduction to Schering BridgeBalance Equation of Schering Bridge
Balance Equation of Schering Bridge 22
The Balance conditions require that the sum of the phase angles of arms 1 and4 equals the sum of the phase angles of arms2 and 3.
Since the standard capacitor is in arm 3, the sum of the phase angles of arms 2and 3 will be 0+90=90 degrees.However in the case of arm 1 and 4, the unknown will have a phase anglesmaller than 90 degrees.Hence it is necessary to give arm 1 a small capacitive angle by connecting acapacitor C1 in parallel with Resistor R1.The balance equation is;Zx=Z2Z3Y1
Rx − jωCx
=R2
(−jωC3
)(1R1
+ jωC1
)
Sajan P. Philip AP/ECE/BIT AC Bridges
OutlineIntroduction to AC Bridges
Maxwell’s BridgeHay Bridge
Schering BridgeWein Bridge
Introduction to Schering BridgeBalance Equation of Schering Bridge
Balance Equation of Schering Bridge 22
The Balance conditions require that the sum of the phase angles of arms 1 and4 equals the sum of the phase angles of arms2 and 3.Since the standard capacitor is in arm 3, the sum of the phase angles of arms 2and 3 will be 0+90=90 degrees.
However in the case of arm 1 and 4, the unknown will have a phase anglesmaller than 90 degrees.Hence it is necessary to give arm 1 a small capacitive angle by connecting acapacitor C1 in parallel with Resistor R1.The balance equation is;Zx=Z2Z3Y1
Rx − jωCx
=R2
(−jωC3
)(1R1
+ jωC1
)
Sajan P. Philip AP/ECE/BIT AC Bridges
OutlineIntroduction to AC Bridges
Maxwell’s BridgeHay Bridge
Schering BridgeWein Bridge
Introduction to Schering BridgeBalance Equation of Schering Bridge
Balance Equation of Schering Bridge 22
The Balance conditions require that the sum of the phase angles of arms 1 and4 equals the sum of the phase angles of arms2 and 3.Since the standard capacitor is in arm 3, the sum of the phase angles of arms 2and 3 will be 0+90=90 degrees.However in the case of arm 1 and 4, the unknown will have a phase anglesmaller than 90 degrees.
Hence it is necessary to give arm 1 a small capacitive angle by connecting acapacitor C1 in parallel with Resistor R1.The balance equation is;Zx=Z2Z3Y1
Rx − jωCx
=R2
(−jωC3
)(1R1
+ jωC1
)
Sajan P. Philip AP/ECE/BIT AC Bridges
OutlineIntroduction to AC Bridges
Maxwell’s BridgeHay Bridge
Schering BridgeWein Bridge
Introduction to Schering BridgeBalance Equation of Schering Bridge
Balance Equation of Schering Bridge 22
The Balance conditions require that the sum of the phase angles of arms 1 and4 equals the sum of the phase angles of arms2 and 3.Since the standard capacitor is in arm 3, the sum of the phase angles of arms 2and 3 will be 0+90=90 degrees.However in the case of arm 1 and 4, the unknown will have a phase anglesmaller than 90 degrees.Hence it is necessary to give arm 1 a small capacitive angle by connecting acapacitor C1 in parallel with Resistor R1.
The balance equation is;Zx=Z2Z3Y1
Rx − jωCx
=R2
(−jωC3
)(1R1
+ jωC1
)
Sajan P. Philip AP/ECE/BIT AC Bridges
OutlineIntroduction to AC Bridges
Maxwell’s BridgeHay Bridge
Schering BridgeWein Bridge
Introduction to Schering BridgeBalance Equation of Schering Bridge
Balance Equation of Schering Bridge 22
The Balance conditions require that the sum of the phase angles of arms 1 and4 equals the sum of the phase angles of arms2 and 3.Since the standard capacitor is in arm 3, the sum of the phase angles of arms 2and 3 will be 0+90=90 degrees.However in the case of arm 1 and 4, the unknown will have a phase anglesmaller than 90 degrees.Hence it is necessary to give arm 1 a small capacitive angle by connecting acapacitor C1 in parallel with Resistor R1.The balance equation is;
Zx=Z2Z3Y1
Rx − jωCx
=R2
(−jωC3
)(1R1
+ jωC1
)
Sajan P. Philip AP/ECE/BIT AC Bridges
OutlineIntroduction to AC Bridges
Maxwell’s BridgeHay Bridge
Schering BridgeWein Bridge
Introduction to Schering BridgeBalance Equation of Schering Bridge
Balance Equation of Schering Bridge 22
The Balance conditions require that the sum of the phase angles of arms 1 and4 equals the sum of the phase angles of arms2 and 3.Since the standard capacitor is in arm 3, the sum of the phase angles of arms 2and 3 will be 0+90=90 degrees.However in the case of arm 1 and 4, the unknown will have a phase anglesmaller than 90 degrees.Hence it is necessary to give arm 1 a small capacitive angle by connecting acapacitor C1 in parallel with Resistor R1.The balance equation is;Zx=Z2Z3Y1
Rx − jωCx
=R2
(−jωC3
)(1R1
+ jωC1
)
Sajan P. Philip AP/ECE/BIT AC Bridges
OutlineIntroduction to AC Bridges
Maxwell’s BridgeHay Bridge
Schering BridgeWein Bridge
Introduction to Schering BridgeBalance Equation of Schering Bridge
Balance Equation of Schering Bridge 22
The Balance conditions require that the sum of the phase angles of arms 1 and4 equals the sum of the phase angles of arms2 and 3.Since the standard capacitor is in arm 3, the sum of the phase angles of arms 2and 3 will be 0+90=90 degrees.However in the case of arm 1 and 4, the unknown will have a phase anglesmaller than 90 degrees.Hence it is necessary to give arm 1 a small capacitive angle by connecting acapacitor C1 in parallel with Resistor R1.The balance equation is;Zx=Z2Z3Y1
Rx − jωCx
=R2
(−jωC3
)(1R1
+ jωC1
)Sajan P. Philip AP/ECE/BIT AC Bridges
OutlineIntroduction to AC Bridges
Maxwell’s BridgeHay Bridge
Schering BridgeWein Bridge
Introduction to Schering BridgeBalance Equation of Schering Bridge
Balance Equation of Schering Bridge 22
The Balance conditions require that the sum of the phase angles of arms 1 and4 equals the sum of the phase angles of arms2 and 3.Since the standard capacitor is in arm 3, the sum of the phase angles of arms 2and 3 will be 0+90=90 degrees.However in the case of arm 1 and 4, the unknown will have a phase anglesmaller than 90 degrees.Hence it is necessary to give arm 1 a small capacitive angle by connecting acapacitor C1 in parallel with Resistor R1.The balance equation is;Zx=Z2Z3Y1
Rx − jωCx
=R2
(−jωC3
)(1R1
+ jωC1
)Sajan P. Philip AP/ECE/BIT AC Bridges
OutlineIntroduction to AC Bridges
Maxwell’s BridgeHay Bridge
Schering BridgeWein Bridge
Introduction to Schering BridgeBalance Equation of Schering Bridge
Balance Equation of Schering Bridge 23
Rx − jωCx
=R2C1C3− jR2ωC3R1
Equating the real and imaginary terms, we find that
Rx=R2C1C3
Cx=C3R1R2
Sajan P. Philip AP/ECE/BIT AC Bridges
OutlineIntroduction to AC Bridges
Maxwell’s BridgeHay Bridge
Schering BridgeWein Bridge
Introduction to Schering BridgeBalance Equation of Schering Bridge
Balance Equation of Schering Bridge 23
Rx − jωCx
=R2C1C3− jR2ωC3R1
Equating the real and imaginary terms, we find that
Rx=R2C1C3
Cx=C3R1R2
Sajan P. Philip AP/ECE/BIT AC Bridges
OutlineIntroduction to AC Bridges
Maxwell’s BridgeHay Bridge
Schering BridgeWein Bridge
Introduction to Schering BridgeBalance Equation of Schering Bridge
Balance Equation of Schering Bridge 23
Rx − jωCx
=R2C1C3− jR2ωC3R1
Equating the real and imaginary terms, we find that
Rx=R2C1C3
Cx=C3R1R2
Sajan P. Philip AP/ECE/BIT AC Bridges
OutlineIntroduction to AC Bridges
Maxwell’s BridgeHay Bridge
Schering BridgeWein Bridge
Introduction to Schering BridgeBalance Equation of Schering Bridge
Balance Equation of Schering Bridge 23
Rx − jωCx
=R2C1C3− jR2ωC3R1
Equating the real and imaginary terms, we find that
Rx=R2C1C3
Cx=C3R1R2
Sajan P. Philip AP/ECE/BIT AC Bridges
OutlineIntroduction to AC Bridges
Maxwell’s BridgeHay Bridge
Schering BridgeWein Bridge
Introduction to Schering BridgeBalance Equation of Schering Bridge
Balance Equation of Schering Bridge 23
Rx − jωCx
=R2C1C3− jR2ωC3R1
Equating the real and imaginary terms, we find that
Rx=R2C1C3
Cx=C3R1R2
Sajan P. Philip AP/ECE/BIT AC Bridges