b. You now add an Op Amp (powered by ±5V) to the voltage divider. For this circuit, provide a governing transfer function. If Vin=5V, calculate Vout at the following two conditions: 1) R=100Ω and RS=100Ω, and 2) R=100Ω and RS=105Ω. Calculate sensitivity in units of Volt/Ohm. Show all work. (5 points)

Respuesta :

Answer:

1) Vout = -25 V

2) Vout = -25.61 V

The sensitivity is 0.122 V/Ω

Explanation:

The equation for Vout is:

[tex]V_{out} =-\frac{R_{f} }{R_{i} } (\frac{V_{in}R_{s} }{R_{str} } )[/tex]

1) Given:

Rf = 10 K

Ri = 1 K

Rs = 100 Ω

Rstr = 200 Ω

Vin = 5 V

[tex]V_{out} =-\frac{10}{1} (\frac{5*100}{200} )=-25V[/tex]

2) Now, Rs = 105 Ω

[tex]V_{out} =-\frac{10}{1} (\frac{5*105}{205} )=-25.61V[/tex]

The sensitivity is equal to:

[tex]S=\frac{V_{out2}-V_{out1}}{R_{s2}-R_{s1} } =\frac{25.61-25}{105-100} =0.122V/ohm[/tex]