Question

Resistivity measurements on the leaves of corn plants are a good way to assess stress and overall health. The leaf of a corn plant has a resistance of 2.3 MΩ measured between two electrodes placed 20 cm apart along the leaf. The leaf has a width of 2.1 cm and is 0.20 mm thick.a. What is the resistivity of the leaf tissue?b. Is this greater than or less than the resistivity of muscle tissue in the human body?

Answer 1

`\rho=48.3 \ohm-m`

Step-by-step explanation:

Given

resistance of the plant R =2.3 MΩ

separation between the electrode L= 20 cm

width of the leaf B= 2.1 cm

thickness t=0.20 mm

Area of the leaf= t×B

= 0.20 mm×2.1 cm=
`0.42*10^(-5) m^2`

Resistance of the leaf related to length and area

`R= (\rho L)/(A)`

`\rho= (R A)/(L)`

plugging values we get

`\rho= (2.3*10^(6)*.42*10^(-5))/(20*10^(-2))`

`\rho=48.3\ohm-m`