College Physics II THE FINAL: Torque ‘n it! EPCC
HELPFUL AUXILIARY MATERIALS (Links to be opened when online):
• Liu , F, Xia, L., and Stuart Crozier XXXXXXXXXXInfluence of Magnetically-Induced E-Fields on
Cardiac Electric Activity During MRI: A Modeling Study. Magnetic Resonance in Medicine,
50: XXXXXXXXXX, DOI XXXXXXXXXX/mrm.10639.
• The Electrical System of the Body
• The Nervous system – part 1
• The Nervous system – part 2
• All About Dogs: https:
www.nature.com/articles/s XXXXXXXXXXy
• https:
www.sciencedirect.com/science/article/pii/S XXXXXXXXXX
OR: Probing the Cell Mem
ane by Magnetic Particle Actuation and Euler Angle Tracking
(Irmscher et al., 2012)
◦ Important SUPPORTING material from the Irmscher et al XXXXXXXXXXarticle are the
following links:
https:
www.cell.com/cms/10.1016/j.bpj XXXXXXXXXX/attachment/5381ce0f-47b5-4220-
090-f06f1904a679/mmc1.pdf
Comprehensive Electromagnetism: Refer to the links above for the following problems.
1. Assume a nerve of 0.50 m in length is stimulated and sends electrical impulses to the
ain.
Along this section of nerve the velocity of the signal is around 0.40 m/s. How long does a
signal take to travel the length of the nerve? Assuming the charge traveling through the nerve to
e that of 100.0 electrons, what would be the cu
ent traveling through the nerve? What would
e the magnetic field strength 0.01x10-3 m away from the nerve? What would the maximum
force generated by the cu
ent through the nerve be at that same distance? What would be the
electric field within the nerve ca
ying the cu
ent?
2. Refer to the “The Electrical System of the Body” link: Assume the same nerve in problem
#1 has a diameter of 7.0 µm. Ignoring the temperature factor, what is the resistivity and
conductivity of the nerve (assuming it to have the same properties as axoplasma)? What would
e the nerve resistance and the electromotive force acting through the nerve (using information
from #1)?
3. A cyclist’s thigh at his peak has a circumference of 60.45 cm. During peak performance, the
temperature measured from a thigh is 39.0 oC, a three degree change from when the cyclist was
at rest. Calculate the rate of heat being released from each thigh. What was his starting
temperature?
http:
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https:
www3.nd.edu/~nsl/Lectures/mphysics/Medical%20Physics/Part%20I.%20Physics%20of%20the%20Body/Chapter%206.%20Electrical%20System%20of%20the%20Body/Chapter%206.%20Electrical%20System%20of%20the%20Body.pdf
https:
www.cell.com/cms/10.1016/j.bpj XXXXXXXXXX/attachment/5381ce0f-47b5-4220-b090-f06f1904a679/mmc1.pdf
https:
www.cell.com/cms/10.1016/j.bpj XXXXXXXXXX/attachment/5381ce0f-47b5-4220-b090-f06f1904a679/mmc1.pdf
https:
0-pdf-sciencedirectassets-com.lib.utep.edu/277708/1-s2.0-S0006349512X00043/1-s2.0-S XXXXXXXXXX/main.pdf?X-Amz-Security-Token=IQoJb3JpZ2luX2VjEAoaCXVzLWVhc3QtMSJGMEQCIFGVB6WsvqAJ1jS9yGOZ05i3P0Kv%2B7sG2I0TgA3jqHUCAiBTxLPOm6i4PD4%2BfOIwMaVvc%2FgMmohA6yarPEr0FKvmoyq9AwjD%2F%2F%2F%2F%2F%2F%2F%2F%2F%2F8BEAMaDDA1OTAwMzU0Njg2NSIMrEtZie1fMAuUEEBkKpEDNns1uJsJ%2FKPJtlHAp%2Fsg9oP52Z12%2Bk2M6ydN6Tx%2FCfo71p9rxtqyB9%2BSIML1%2F9BJxroGM5DKRJ6zkEUV1K%2FOOtvA1Sqa
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https:
0-pdf-sciencedirectassets-com.lib.utep.edu/277708/1-s2.0-S0006349512X00043/1-s2.0-S XXXXXXXXXX/main.pdf?X-Amz-Security-Token=IQoJb3JpZ2luX2VjEAoaCXVzLWVhc3QtMSJGMEQCIFGVB6WsvqAJ1jS9yGOZ05i3P0Kv%2B7sG2I0TgA3jqHUCAiBTxLPOm6i4PD4%2BfOIwMaVvc%2FgMmohA6yarPEr0FKvmoyq9AwjD%2F%2F%2F%2F%2F%2F%2F%2F%2F%2F8BEAMaDDA1OTAwMzU0Njg2NSIMrEtZie1fMAuUEEBkKpEDNns1uJsJ%2FKPJtlHAp%2Fsg9oP52Z12%2Bk2M6ydN6Tx%2FCfo71p9rxtqyB9%2BSIML1%2F9BJxroGM5DKRJ6zkEUV1K%2FOOtvA1Sqa
Btq6oQYdXCrlaxjbPpw8e5GjmciQJHuxTfdW6kxWNUQkSlThepnwlvwawn6FaEhhubM94LYjRxs84mhW0bjkD2O9EuBRu3pa3ZjEq3I%2BUEe96%2FXHmgdEij58RaLFbcsbAFFuf3XU3Mb96j9BCCe558x8z0gWrEXLMHGe29V8z732VDPDYXKBnI1LnsCU%2FQgtcJ2WhU2sjaGYHXWsER9U5Lt3rxpNEfEY9jgbh4I0REvJlWruGASaAFXqj0zKfw4MR8qz%2BFmQYho5EuK5J3rwXRVZQbsWa3ZdL5FH8ICxVEB650ny2%2BqUgI7L%2Ff6R9hx9olvkQvg63Z3sp%2FEC4ibBdj
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https:
www.sciencedirect.com/science/article/pii/S XXXXXXXXXX
https:
www.nature.com/articles/s XXXXXXXXXXy
https:
youtu.be/OZG8M_ldA1M?list=PLD1AE40A2752C5F33
https:
www.youtube.com/watch?v=qPix_X-9t7E&list=PLD1AE40A2752C5F33&index=177
https:
www3.nd.edu/~nsl/Lectures/mphysics/Medical%20Physics/Part%20I.%20Physics%20of%20the%20Body/Chapter%206.%20Electrical%20System%20of%20the%20Body/Chapter%206.%20Electrical%20System%20of%20the%20Body.pdf
http:
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http:
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http:
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College Physics II THE FINAL: Torque ‘n it! EPCC
Magnetism of Cells
4. Explain within 5 sentences: Read the Irmscher et al XXXXXXXXXXpaper on probing the cell
mem
ane with magnetism. What were the main take-away’s from the article? In figure 1,
describe the types of motion the cell mem
ane endures under the influence of a magnet field.
5. Background information: The methods section describes how a cell mem
ane can torque based
on its magnetic moment of around 2.2x10-13 Am2. However it must be able to at least overcome
the vertical force due to gravity of 0.70 pN (i.e. 0.70x10-12N); something that is relatable to
overcoming the force due to friction when talking about frictional forces in mechanics.
There is another factor that the mem
anes must overcome, which is hydrodynamic drag
(basically fluid drag). In the supplemental documentation, table S1 on the 4 th page lists the
magnetic moments possible for a mem
ane to have. If the minimum magnetic field used to
torque the mem
ane is listed in the 2nd column (i.e. critical field strength), calculate the
co
esponding torques for each mem
ane listed in table S1. Use the equation listed atop the
table to help you with your calculations.
Assuming that there is a linear, one-to-one relationship, the typical actuating magnetic field of
8.0x10-3 T (8.0 mT) will yield 38 Pa of pressure. How much pressure will be exerted at each of
the critical magnetic field strengths listed in table S1?