Wheatstone Bridge Circuit for Resistance Measurement
P
r
actical Applic
a
tion:
V
o
ltage Di
v
ision
Fo
r
mula
A Wheatstone bridge is a measuring instrument used to measure an unknown electrical
resistanc
e
.
R
x
is the unknown resistance
to be measure
d
; R
1
,
R
2
and
R
3
are resistors of known
resistance and the
resistance of
R
3
is
adjustabl
e
.
The W
h
e
at
s
ton
e
B
r
id
ge
(foil)
When all the resistors are equal to R:
P
r
ac
ti
cal Applic
atio
n
-
V
o
ltage Di
v
ision
Fo
r
mula
-
When all the resistors are equal to R:
P
r
ac
ti
cal Applic
atio
n
-
V
o
ltage Di
v
ision
Fo
r
mula
-
With strain gage is connected,
P
r
ac
ti
cal Applic
atio
n
-
V
o
ltage Di
v
ision
Fo
r
mula
-
P
r
ac
ti
cal Applic
atio
n
-
Strain Gauge -
V
o
ltage Di
v
ision
Fo
r
mula
-
The output of the bridge changes nonlinearly with applied force.
H
o
wever, R is several hundred ohms, while ∆R is typically 0.01 Ω, a factor of
10,000
times
smaller.
So, we assume that
Small strain produced
measurable voltage
Wheatstone Bridge is a precise instrument for measuring unknown electrical resistances by balancing a bridge circuit. This practical application involves using resistors of known values to determine the unknown resistance. The voltage division formula plays a key role in calculating the unknown resistance. Additionally, the concept extends to strain gauges where small strains produce measurable voltage outputs. Explore the principles and applications of Wheatstone Bridge in resistance measurement and strain gauge sensors.
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Presentation Transcript
Practical Application: Voltage Division Formula The Wheatstone Bridge A Wheatstone bridge is a measuring instrument used to measure an unknown electrical resistance. Rx is the unknown resistance to be measured; R1, R2 and R3 are resistors of known resistance and the resistance of R3 is adjustable. Unknown Resistor V ariable resistor
Practical Application - Voltage Division Formula - When all the resistors are equal to R: ????= 0
Practical Application - Voltage Division Formula - When all the resistors are equal to R: ????= 0
Practical Application - Voltage Division Formula - With strain gage is connected, ? 4?+2 ?? ????=
Practical Application- Strain Gauge - Voltage Division Formula - The output of the bridge changes nonlinearly with applied force. However, R is several hundred ohms, while R is typically 0.01 , a factor of 10,000 times smaller. So, we assume that ? ? 4?? 4?+2 ?? ????= ???? Small strain produced measurable voltage
