A single strain gage has a nominal resistance of 120 ohm. For a quarter bridge with 120 ohm fixed resistors, strain gauge factor is 2.01 with a strain of 1000-μstrain for a supply voltage of 3V. Compute the Voltage output as mV?

Respuesta :

Answer:

Output voltage is 1.507 mV

Solution:

As per the question:

Nominal resistance, R = [tex]120\Omega [/tex]

Fixed resistance, R = [tex]120\Omega [/tex]

Gauge Factor, G.F = 2.01

Supply Voltage, [tex]V_{s} = 3\ V[/tex]

Strain, [tex]\epsilon = 1000\times 10^{-6}\ strain[/tex]

Now,

To calculate the output voltage, [tex]V_{o}[/tex]:

WE know that strain is given by:

[tex]\epsilon = \frac{(R + R')^{2}V_{o}}{RR'V_{s}\times G.F}[/tex]

Thus

[tex]V_{o} = \frac{RR'V_{s}\epsilon \times G.F}{(R + R')^{2}}[/tex]

Now, substituting the suitable values in the above eqn:

[tex]V_{o} = \frac{120\times 120\times 3\times 1000\times 10^{-6}\times 2.01}{(120 + 120)^{2}}[/tex]

[tex]V_{o} = 1.507\ mV[/tex]