Resistance Measurement instruments

Ohm's Law V = I x R (Volts = Current x Resistance). The Ohm (Ω) is a unit of electrical resistance equal to that of a conductor in which a current of one ampere is produced by a potential of one volt across its terminals. 1)Measurement of Low resistance: 1) Ammeter Voltmeter method: This is very popular method for measurement of medium resistances since ...

1. Classification of Resistance
Measurements
•Low resistances (0-1) Ω

•Medium resistances (1-0.1M)Ω

•High resistances (≥ 0.1MΩ)

1

2. Medium Resistance Measurement
Methods
(1) Voltmeter-Ammeter (2) Substitution
(3) Ohmmeter (4) Bridge

3. 3
Voltmeter-Ammeter Method
As we know that the
internal resistances of the
voltmeter and ammeter
are large and small,
respectively.

4. 4

5. 5

6. Voltmeter-Ammeter Method
(1)Simple and requires only two meters
(2)Subject to error

7. Substitution Method
•Keep at position 1 and
vary the R
h up to finite
value of current flow
through the circuit.

•Shift to position 2 with the
same value of R
h in
previous case, change
the S value until the
same/previous current
flow through the circuit.
7

8. Ohmmeter Method
(1)Only one meter
(2)Non-linear scale

9. Using Bridge Circuit
9
•Bridge Circuit is a null method, operates on the
principle of comparison
•A known (standard) value is adjusted until it is equal
to the unknown value

10. 10
Wheatstone Bridge
Ratio arms (R
1 , R
2) & Standard arm (R
3 )

11. 11
Wheatstone Bridge Apparatus
The Ratio Control switches the
ratio in decade steps

The remaining four step switches
set the resistance of the standard
arm

R
1 , R
2 10 Ω, 100 Ω, 1 kΩ 10 kΩ
R
3 Min. step 1 Ω, Max value 11110 Ω

Example

12. 12

13. 13

14. 14
Measurement Errors

15. Thermal EMF
15
Creates error in measurement of low resistance

16. 16
Contact Resistance
On the micro scale, surface roughness
limits surface to surface contact
Measurement using four terminals
to avoid contact resistance
Standard resistance model with contact
resistance

17. 17

18. 18

19. 19

20. 20
Figure below show the schematic diagram of a Wheatstone
bridge with the bridge elements. The battery is 5 V and its
internal resistance negligible. The galvanometer has a
current sensitivity of 10 mm/ µA and an internal resistance
of 100 Ω. Calculate the deflection of the galvanometer
caused by the 5 Ω unbalance in arm BC.
Assignment
Ans: 33.2 mm

21. 21
The galvanometer in the previous question is replaced by
one with an internal resistance of 500 Ω and a current
sensitivity of 1 mm/µA. Assuming that the minimum
deflection that can be observed on this galvanometer is 1
mm, determine what is the minimum unbalance in the
resistance that can be detected in arm BC.
Assignment Continued

22. Answers to Assignment-2
1) 2.48 Ω
2) 1.06 %
3) (a) 99.9 Ω, 0.195 Ω, 0.195 %
(b) (i) 80 (ii) 98
(c) (i) 68 (ii) 95
4) (a) 38.3 % (b) 68.3 % (c) 95.5 % (d) 15.7 %

5) For series: For parallel:

6) (a) 8.7 Ω (b) 7.1 Ω (c) 5.6 Ω R
n R
nn
