Part A) Resistivity measurements on the leaves of corn plants are a good way to access stress and overall health. The leaf of a corn plant has a resistance of 2.0M Ohms, as measured between two electrodes placed 30cm apart along the leaf. The leaf has a width of 3.5cm and thickness of 0.2mm. What is the resistivity of the leaf tissue? A) 47 Ohms m B) 50 Ohms m C) 25 Ohms m D) 23.5 Ohms m

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Chapter20: Electric Current, Resistance, And Ohm's Law
Section: Chapter Questions
Problem 37PE: (a) Digital medical thermometers determine temperature by measuring the resistance of a...
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Part A) Resistivity measurements on the leaves of corn plants are a good way to access
stress and overall health. The leaf of a corn plant has a resistance of 2.0M Ohms, as
measured between two electrodes placed 30cm apart along the leaf. The leaf has a width
of 3.5cm and thickness of 0.2mm. What is the resistivity of the leaf tissue?
A) 47 Ohms m
B) 50 Ohms m
C) 25 Ohms m
D) 23.5 Ohms m
Part B) The two electrodes in Part A are replaced by two wires connected to the terminals
of a 1.5Volt battery. Calculate the current that would flow within the leaf.
A) 0.75 micro Amp
B) 32 milli Amp
C) 71 Amp
D 3.0 mega Amp
Part C) Assume that the leaf of part A (3.5cm width & 0.2mm thickness) has a length of
40cm, and its top & bottom surfaces are shaped like flat plates. The fluid within the leaf
is mostly water. What is its capacitance?
A) 8.85picoF
B) 0.049 micro F
C) 495600 F
D) 80F

Expert Solution
Step 1

Part (A)

Given:

The resistance is R=2 .

The distance between the electrode is L=30 cm.

The width of the leaf is w=3.5 cm.

The thickness is t=0.2 mm.

The expression for resistivity of:

ρ=RALρ=Rt×wL

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