A.C.
BRIDGE
S
synopsis
1.Introduction.
2.Maxwell's Inductance Bridge.
3.Hay’s Bridge.
4.Schering Bridge.
5.Wein’s Bridge.
A.C. Bridges are those
circuits which are used to
measure the unknown
resistances, capacitance and
inductance.
Balance condition for
A.C.Bridges:
Z Z = Z Z
Maxwell’s inductance
Bridge
 In the Maxwell’s inductance bridge ,there
are two pure resistances used for balance
relations but on other side or arms the
two known impedances are used.
 The known impedances and the resistances
make the unknown impedances as Z1 and
Z2.Such a network is known as
Maxwell’s A.C.Bridge. As shown in fig.
Fig.
(R
2
+ jwL
2
)R
3
= (R
X
+ jwL
X
)R
1
R
x
= (R
2
R
3
)/R
1
L
x
= (R
3
L
2
) / R
1
PHASOR
DIAGRAM
ADVANTAGES :-
 The measuremet is independent of
frequency.
 The bridge yields simple expresseion for
inductance and resistance.
 It can measure inductance from 1H to
1000H with (+/-)2 % error.
Hay’s Bridge
It is also a modification of the
Maxwell’s Bridge and is particularly
useful if the phase angle of the
inductive impedance is large.
In this case a comparatively smaller
series resistance R1 is used instead of
a parallel résistance.( which has to be
of a very large value) as shown in fig.
L
X
= (C
1
R
2
R
3
) / (1 + w
2
R
1
2
C
1
2
)
R
x
= (w
2
C
1
2
R
1
R
2
R
3
) / (1 + w
2
R
1
2
C
1
2
)
PHASOR
DIAGRAM
Advantages :-
 It can measure inductance with high Q
i.e. Q>10.
 It can be used for measuring incremental
inductance.disadvantages :-
 It cannot measure inductance with low Q
i.e. Q<10.
 The unknown value of inductance depends
on loss of inductor & on operating
frequency.
Schering Bridge
Schering bridge used for the
measurement of capacitance and
dielectric loss of a capacitor.
It is a device for comparing an
imperfect capacitor C2 in terms of a
loss-free standard capacitor C1,as
shown in fig.
Fig.
C
x
= (C
3
R
1
) / R
2
R
x
= (R
2
C
1
)/ C
3
PHASOR
DIAGRAM
ADVANTAGES :-
 It can measure small capacitors at low
voltages precisely.
 The direct reading for Cx can be obtained
by graduating C
3
accordingly, if resistance
ration is maintained at a fixed value.
Wien Parallel Bridge
It is also a ratio bridge used mainly
as the feedback network in the wide
range audio-frequency R-C
oscillators.
It is may be used for the
measurement of the audio-frequency
but it is not as accurate as the
modern digital frequency meters, as
shown in fig.
Fig.
( R
2
/ R
4
)= ( R
1
/ R
3
) + (C
3
/C
1
)
W= 1/(R 1.R3.C1.C3) ½
THANK
YOU…!!!
GUIDED BY :-Mr. DEEPAKPATIDAR
H.O.D. (E.C.) S.O.E.
AnikGodha
AbhirVaidya
HarishKumawat
Priyesh
Katariya
SUBMITTEDBY->
SUBMITTED BY ->
*Abhir Vaidya
* Anik Godha
*Harish kumawat
*Priyesh Katariya

A.C. bridges

  • 1.
  • 2.
    synopsis 1.Introduction. 2.Maxwell's Inductance Bridge. 3.Hay’sBridge. 4.Schering Bridge. 5.Wein’s Bridge.
  • 3.
    A.C. Bridges arethose circuits which are used to measure the unknown resistances, capacitance and inductance. Balance condition for A.C.Bridges: Z Z = Z Z
  • 4.
    Maxwell’s inductance Bridge  Inthe Maxwell’s inductance bridge ,there are two pure resistances used for balance relations but on other side or arms the two known impedances are used.  The known impedances and the resistances make the unknown impedances as Z1 and Z2.Such a network is known as Maxwell’s A.C.Bridge. As shown in fig.
  • 5.
    Fig. (R 2 + jwL 2 )R 3 = (R X +jwL X )R 1 R x = (R 2 R 3 )/R 1 L x = (R 3 L 2 ) / R 1
  • 6.
  • 7.
    ADVANTAGES :-  Themeasuremet is independent of frequency.  The bridge yields simple expresseion for inductance and resistance.  It can measure inductance from 1H to 1000H with (+/-)2 % error.
  • 8.
    Hay’s Bridge It isalso a modification of the Maxwell’s Bridge and is particularly useful if the phase angle of the inductive impedance is large. In this case a comparatively smaller series resistance R1 is used instead of a parallel résistance.( which has to be of a very large value) as shown in fig.
  • 9.
    L X = (C 1 R 2 R 3 ) /(1 + w 2 R 1 2 C 1 2 ) R x = (w 2 C 1 2 R 1 R 2 R 3 ) / (1 + w 2 R 1 2 C 1 2 )
  • 10.
  • 11.
    Advantages :-  Itcan measure inductance with high Q i.e. Q>10.  It can be used for measuring incremental inductance.disadvantages :-  It cannot measure inductance with low Q i.e. Q<10.  The unknown value of inductance depends on loss of inductor & on operating frequency.
  • 12.
    Schering Bridge Schering bridgeused for the measurement of capacitance and dielectric loss of a capacitor. It is a device for comparing an imperfect capacitor C2 in terms of a loss-free standard capacitor C1,as shown in fig.
  • 13.
    Fig. C x = (C 3 R 1 ) /R 2 R x = (R 2 C 1 )/ C 3
  • 14.
  • 15.
    ADVANTAGES :-  Itcan measure small capacitors at low voltages precisely.  The direct reading for Cx can be obtained by graduating C 3 accordingly, if resistance ration is maintained at a fixed value.
  • 16.
    Wien Parallel Bridge Itis also a ratio bridge used mainly as the feedback network in the wide range audio-frequency R-C oscillators. It is may be used for the measurement of the audio-frequency but it is not as accurate as the modern digital frequency meters, as shown in fig.
  • 17.
    Fig. ( R 2 / R 4 )=( R 1 / R 3 ) + (C 3 /C 1 ) W= 1/(R 1.R3.C1.C3) ½
  • 18.
  • 19.
    GUIDED BY :-Mr.DEEPAKPATIDAR H.O.D. (E.C.) S.O.E.
  • 20.
  • 21.
    SUBMITTED BY -> *AbhirVaidya * Anik Godha *Harish kumawat *Priyesh Katariya