Problem 24.96 Human tissue is made up of, among other things, cells with cell me

Question

Problem 24.96 Human tissue is made up of, among other things, cells with cell membranes that act as capacitors and ionic fuids that have resistance. So it's not surprising that tissue has electrical properties--including an electrical impedance that may vary with frequency and with the type of tissue. Some researchers have been exploring these electrical properties in order to see whether measurements of them can be used to screen for breast cancer or skin cancer, or to distinguish between different types of tissue disorders. One research group has proposed that electrical impedance measurements might aid in the diagnosis of two different skin conditions: clavus rooms, callused verruca (plantar clavus verruca similar in appearance, they have different causes (repeated friction on the skin in the case of clavus, and the human papilloma virus in the case of verruca) and are treated differently. In an investigation of this proposal, samples of tissue were collected from patients with one of the two conditions, and a controlled area ofeach of the samples was tested at different frequencies with an RLCmeter that measures resistance, impedance, capacitance, and phase angle. It was foundthat at 80 Hz, the typical (median) clavus sample had a capacitance of 1.2 nF and a resistance of 1100 kn. The corresponding values for a typical sample of verruca were 5.85 nF and 10.20 kn. Part A If the sample behaves in a way that can be modeled by a series RCcircuit, what is the expected value of the impedance for the typical clavs sample at this frequency? O 96 O 2000 O 10 MS2 O 2.0M? Submit My Answers Give Up Continue Provide Feedback

Explanation / Answer

here,

capacitance, C = 5.85*10^-9 F

resistance, R = 10.20*10^3 ohms

frequency, f = 80 Hz

Impedance, Z = sqrt( R^2 + 1/(2*pi*f*C))

Impedance, Z = sqrt( (10.20*10^3)^2 + 1/(2*pi*80*5.85*10^-9))

Impedance, Z = 10 Mohm

option C is correct

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