Midterm_F20_Section_1
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Purdue University *
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Mechanical Engineering
Date
Jan 9, 2024
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URDUE NAME ____________________________________ PUID ________________________________________ Tips for making sure GradeScope can read your exam: 1.
Make sure your name and PUID are clearly written at the top of every page, including any additional blank pages you use. 2.
Write only on the front of the exam pages
. 3.
Add any additional pages used to the back of the exam before turning it in. 4.
Ensure that all pages are facing the same direction. 5.
Answer all questions in the area designated for that answer. Do not run over into the next question space. BME 301-001 Midterm Exam
Name:_________________________ PUID:____________________ 2 Q1
. You perform a voltage clamp measurement on a giant squid and notice the following current-
voltage relationship. (
15 pts
) a.
Mark the inward and outward phase of the currents (
5
pts) b.
What is the reversal potential of the inward current (
5
pts) c.
You are now told that the external concentration of sodium in the solution is 440mM. What is his internal concentration? (
5
pts)
Name:_________________________ PUID:____________________ 3 Q2
. Please answer the following questions for the synapse in the image below (
25 pts
). What is happening in step 1 (3 pts)? What is happening in step 2 (3 pts)? What is happening in step 3 (3 pts)? What is happening in step 4 (2 pts)?
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Name:_________________________ PUID:____________________ 4 What is happening in step 5 (3 pts)? What is happening in step 6 (2 pts)? What is happening in step 7 (3 pts)? What is happening in step 8 (2 pts)? What is happening in step 9 (2 pts)? What is happening in step 10 (2 pts)?
Name:_________________________ PUID:____________________ 5 Q 3
. In the reflex circuit shown above mark the afferent and efferent connections. (
10 pts
) How does this circuit work? Please provide a brief explanation. (
5 pts
)
Name:_________________________ PUID:____________________ 6 Q4
. Signal acquisition and processing (25 pts). A scientist approaches you with a need for a system that will acquire and process bioelectric signals from a child suffering from epileptic seizures. The signals have a maximum amplitude of 5 mV, a frequency range between 30 and 500 Hz, and are being collected in an environment inundated with 50 µV white noise. a.
Design an amplifier (
10 pts
). i.
Select and draw your amplifier topology (2 pts) ii.
Justify your choice (2 pts) iii.
Derive the gain equation (4 pts) iv.
Select appropriate passive components (2 pts)
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Name:_________________________ PUID:____________________ 7 b.
Design a filter (
10 pts
) i.
Select and draw your filter topology (2 pts) ii.
Justify your choice (2 pts) iii.
Derive the transfer function (4 pts)
Name:_________________________ PUID:____________________ 8 Q5
. If you were to inject a negative current into an electrically small axon to hyperpolarize it to -
85mV, what will be the membrane voltage recorded at a distance of 20cm from the injection point? Assume a resting membrane potential of -65mV, an external resistance of 10Ω/cm, an internal resistance of 500Ω/cm, and a membrane conductivity of 10e-4 S/m. (
20 pts
) a) -40.5mV b) -65.0mV c) -67.1mV d) -69.8mV e) -75.7mV
Name:_________________________ PUID:____________________ 9 Q6
. Plot the conductance curves for Sodium and Potassium as a function of the action-potential shown. (
5 pts
)
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Name:_________________________ PUID:____________________ 10 Q7
. Bonus question (
10 pts
) Derive the transfer function (V
out
/V
in
) of the circuits shown below. What can you say about the operation performed by each circuit? (Hint: what mathematical operation are they performing?)
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