## 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, calcul

Question

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)

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3 years 2021-07-26T16:36:10+00:00 1 Answers 2 views 0

## Answers ( )

1. Answer:

1) Vout = -25 V

2) Vout = -25.61 V

The sensitivity is 0.122 V/Ω

Explanation:

The equation for Vout is:

*** QuickLaTeX cannot compile formula:
V_{out} =-\frac{R_{f} }{R_{i} } (\frac{V_{in}R_{s}  }{R_{str} } )

*** Error message:
Unknown error

1) Given:

Rf = 10 K

Ri = 1 K

Rs = 100 Ω

Rstr = 200 Ω

Vin = 5 V

*** QuickLaTeX cannot compile formula:
V_{out} =-\frac{10}{1} (\frac{5*100}{200} )=-25V

*** Error message:
Cannot connect to QuickLaTeX server: cURL error 52: Empty reply from server
Please make sure your server/PHP settings allow HTTP requests to external resources ("allow_url_fopen", etc.)
These links might help in finding solution:
http://wordpress.org/extend/plugins/core-control/
http://wordpress.org/support/topic/an-unexpected-http-error-occurred-during-the-api-request-on-wordpress-3?replies=37

2) Now, Rs = 105 Ω

*** QuickLaTeX cannot compile formula:
V_{out} =-\frac{10}{1} (\frac{5*105}{205} )=-25.61V

*** Error message:
Cannot connect to QuickLaTeX server: cURL error 28: Operation timed out after 40004 milliseconds with 0 out of -1 bytes received
Please make sure your server/PHP settings allow HTTP requests to external resources ("allow_url_fopen", etc.)
These links might help in finding solution:
http://wordpress.org/extend/plugins/core-control/
http://wordpress.org/support/topic/an-unexpected-http-error-occurred-during-the-api-request-on-wordpress-3?replies=37

The sensitivity is equal to:

*** QuickLaTeX cannot compile formula:
S=\frac{V_{out2}-V_{out1}}{R_{s2}-R_{s1} } =\frac{25.61-25}{105-100} =0.122V/ohm

*** Error message:
Cannot connect to QuickLaTeX server: cURL error 52: Empty reply from server
Please make sure your server/PHP settings allow HTTP requests to external resources ("allow_url_fopen", etc.)
These links might help in finding solution:
http://wordpress.org/extend/plugins/core-control/
http://wordpress.org/support/topic/an-unexpected-http-error-occurred-during-the-api-request-on-wordpress-3?replies=37