ME 365
HOMEWORK SET 10
Spring 2010
Out: Thursday, April 8, 2010
Due: Thursday, April 15, 2010
Bridges, Strain Gages and Variable Impedance Devices
Problem 1.
Wheatstone Bridges are used with many different types of resistive sensors.
The values
of the fixed resistors used in the bridge depend on the type of sensor used.
If the sensor is
located in position R
1
in the bridge and the bridge is balanced when R
1
is at its minimum
value (R
1
= R
1min
), then the balanced condition is:
2
3
min
1
4
R
R
R
R
.
If we use this relationship then we can eliminate R
4
from the bridge
equation and we can rewrite the bridge equation as:
r
r
x
x
v
1
1
,
where v = E
out
/V
supply
, r = R
3
/R
2
, and x = R
1
/R
1min
.
Make a plot of v versus x, for x in the range 0.1 to 2.0, with r set to the following values:
r = 0.1, 1.0, 10.0, and 100.
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ME 365
HOMEWORK SET 10
Spring 2010
Out: Thursday, April 8, 2010
Due: Thursday, April 15, 2010
Problem 2.
The torque wrench shown in the figure below is claimed to produce an output voltage e
o
proportional to the torque applied by force
f
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