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

Answers ( )

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    2021-07-26T16:37:37+00:00

    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

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