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1
•Classification of Resistances:
Measurement of Resistance using
Wheatstone bridge
 Kelvin double bridge
Megger
 LCR meter
2
3
• Simple and most basic bridge
• It mainly consists of four arms of
resistance P, Q; R and S.
• R is the unknown resistance under
experiment, while S is a standard
resistance.
• P and Q are known as the ratio arms.
• An EMF source is connected
between points a and b while a
galvanometer is connected between
points c and d
4
• A bridge circuit always works on
the principle of null detection.
• Changing a parameter until the
detector shows zero and then use
a mathematical relation to
determine the unknown in terms
of varying parameter and other
constants.
• Here also the standard resistance,
S is varied in order to obtain null
deflection in the galvanometer.
• This null deflection implies no
current from point c to d, which
implies that potential of point c
and d is same.
5
Applications:
 Light detector
 electronic applications to
measure changes in intensity
of light,
6
• Wheatstone bridge use for measuring the resistance from a few ohms to
severalkilo-ohms.
• But error occurs in the result when it is used for measuring the low
resistance.
• Thisisthereasonbecauseofwhich the Wheatstonebridgeis modified, and
the Kelvin bridge obtains. The Kelvin bridge is suitable for measuring the
lowresistance.
• In Wheatstone Bridge, while measuring the low-value resistance, the
resistance of their lead and contacts increases the resistance of their total
measuredvalue.
7
•The r is the resistance of the contacts that
connect the unknown resistance R to
the standard resistance S.
•The ‘m’ and ‘n’ show the range between
which the galvanometer is connected for
obtaining a nullpoint.
•When the galvanometer is connected to point
‘m’, the lead resistance r is added to the
standard resistance S.
8
• Thereby the very low indication obtains for unknown
resistanceR.
• And if the galvanometer is connected to point n then
the r adds to the R, and hence the high value of
unknownresistanceisobtained.
• Thus, at point n and m either very high or very low
valueofunknownresistanceisobtained.
• So, instead of connecting the galvanometer from
point, m and n we chose any intermediate point say d
where the resistance of lead r is divided into two
equalparts,i.e.,r1 andr2
9
10
Thepresence of r1 causes no errorinthe measurement of unknownresistance.
From equation (1), we get
11
• The above equation shows that if the galvanometer connects at
point d then the resistance of lead will not affect their results.
• The above mention process is practically not possible to
implement. For obtaining the desired result, the actual
resistance of exact ratio connects between the point m and n
and the galvanometer connects at the junction of the resistor.
12
13
• The ratio of the arms p and q are used to connect
the galvanometer at the right place between the
point mand n.
• Them andn reducethe effect of connecting lead.
• The P and Q is the first ratio of the arm and p
andq is thesecondarm ratio.
14
• The galvanometer is connected between
the armsp andq at a point d.
• The point d places at the centre of the
resistance r between the point m and n for
removing the effect of the connecting lead
resistance which is placed between the
unknown resistance R and standard
resistance S.
15
• The ratioof p/qis madeequaltothe P/Q.Under
balance conditionzerocurrentflows throughthe
galvanometer.The potentialdifference between
the pointa andbis equivalent to thevoltagedrop
between the pointsEamd.
• Now,
16
• Forzerogalvanometer deflection,
As we known,P/Q = p/q then above equation becomes
17
The above equation is the working equations of the
Kelvins bridge.
The equation shows that the result obtains from
the Kelvin double bridge is free from the impact of
the connecting lead resistance.

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Measurement of Resistance.pptx

  • 1. 1 •Classification of Resistances: Measurement of Resistance using Wheatstone bridge  Kelvin double bridge Megger  LCR meter
  • 2. 2
  • 3. 3 • Simple and most basic bridge • It mainly consists of four arms of resistance P, Q; R and S. • R is the unknown resistance under experiment, while S is a standard resistance. • P and Q are known as the ratio arms. • An EMF source is connected between points a and b while a galvanometer is connected between points c and d
  • 4. 4 • A bridge circuit always works on the principle of null detection. • Changing a parameter until the detector shows zero and then use a mathematical relation to determine the unknown in terms of varying parameter and other constants. • Here also the standard resistance, S is varied in order to obtain null deflection in the galvanometer. • This null deflection implies no current from point c to d, which implies that potential of point c and d is same.
  • 5. 5 Applications:  Light detector  electronic applications to measure changes in intensity of light,
  • 6. 6
  • 7. • Wheatstone bridge use for measuring the resistance from a few ohms to severalkilo-ohms. • But error occurs in the result when it is used for measuring the low resistance. • Thisisthereasonbecauseofwhich the Wheatstonebridgeis modified, and the Kelvin bridge obtains. The Kelvin bridge is suitable for measuring the lowresistance. • In Wheatstone Bridge, while measuring the low-value resistance, the resistance of their lead and contacts increases the resistance of their total measuredvalue. 7
  • 8. •The r is the resistance of the contacts that connect the unknown resistance R to the standard resistance S. •The ‘m’ and ‘n’ show the range between which the galvanometer is connected for obtaining a nullpoint. •When the galvanometer is connected to point ‘m’, the lead resistance r is added to the standard resistance S. 8
  • 9. • Thereby the very low indication obtains for unknown resistanceR. • And if the galvanometer is connected to point n then the r adds to the R, and hence the high value of unknownresistanceisobtained. • Thus, at point n and m either very high or very low valueofunknownresistanceisobtained. • So, instead of connecting the galvanometer from point, m and n we chose any intermediate point say d where the resistance of lead r is divided into two equalparts,i.e.,r1 andr2 9
  • 10. 10 Thepresence of r1 causes no errorinthe measurement of unknownresistance. From equation (1), we get
  • 11. 11 • The above equation shows that if the galvanometer connects at point d then the resistance of lead will not affect their results. • The above mention process is practically not possible to implement. For obtaining the desired result, the actual resistance of exact ratio connects between the point m and n and the galvanometer connects at the junction of the resistor.
  • 12. 12
  • 13. 13 • The ratio of the arms p and q are used to connect the galvanometer at the right place between the point mand n. • Them andn reducethe effect of connecting lead. • The P and Q is the first ratio of the arm and p andq is thesecondarm ratio.
  • 14. 14 • The galvanometer is connected between the armsp andq at a point d. • The point d places at the centre of the resistance r between the point m and n for removing the effect of the connecting lead resistance which is placed between the unknown resistance R and standard resistance S.
  • 15. 15 • The ratioof p/qis madeequaltothe P/Q.Under balance conditionzerocurrentflows throughthe galvanometer.The potentialdifference between the pointa andbis equivalent to thevoltagedrop between the pointsEamd. • Now,
  • 16. 16 • Forzerogalvanometer deflection, As we known,P/Q = p/q then above equation becomes
  • 17. 17 The above equation is the working equations of the Kelvins bridge. The equation shows that the result obtains from the Kelvin double bridge is free from the impact of the connecting lead resistance.