![nidiavega2009](/avatars/28230.jpg)
nidiavega2009
19.08.2020 •
Physics
An oceanographer is studying how the ion concentration in seawater depends on depth. She makes a measurement by lowering into the water a pair of concentric metallic cylinders at the end of a cable and taking data to determine the resistance between these electrodes as a function of depth. The water between the two cylinders forms a cylindrical shell of inner radius r_a, outer radius r_b, and length L much larger than r_b. The scientist applies a potential difference Delta V between the inner and outer surfaces, producing an outward radial current I. Let rho represent the resistivity of the water.
(a) Find the resistance of the water between the cylinders in terms of L, rho, r_a, and r_b.
(b) Express the resistivity of the water in terms of the measured quantities L, r_a, r_b, Delta V and I.
Solved
Show answers
More tips
- G Goods and services How to Choose a Video Camera: Tips from Professionals...
- F Family and Home How to Remove Tar Stains: Tips and Recommendations from Experts...
- H Health and Medicine Novomin: What is it and how to use it?...
- P Philosophy Unbelievable stories of encounters with otherworldly forces...
- L Leisure and Entertainment How to Choose the Perfect Gift for Men on February 23rd?...
- H Health and Medicine How to Treat Whooping Cough in Children?...
- H Health and Medicine Simple Ways to Lower Cholesterol in the Blood: Tips and Tricks...
- O Other How to Choose the Best Answer to Your Question on The Grand Question ?...
- L Leisure and Entertainment History of International Women s Day: When Did the Celebration of March 8th Begin?...
- S Style and Beauty Intimate Haircut: The Reasons, Popularity, and Risks...
Answers on questions: Physics
- G Geography Agreement after wwll to help revitalize the economy...
- P Physics 5 Question 10 of 35 Shelley the walrus is swimming at a speed of 1.8 m/s. Her kinetic energy is 1458 J. Calculate Shelley s mass. Use the symbol equation below to help you....
- B Business Adoctor purchases medical supplies of $640 and pays $290 cash with the remainder on account. the journal entry for this transaction would be which of the following?...
- H History What was the purpose of the presidios built in Texas? A. to convert local natives to the Spanish culture and religion B. to establish Spain’s control over the seven cities...
- P Physics In 1961, John Glenn became the first American to orbit the Earth. The altitude of his Mercury spacecraft was 100 miles (160 km) above the surface of the Earth. Determine the...
Ответ:
a) R = ρ₀ L /π(r_b² - R_a²) , b) ρ₀ = V / I π (r_b² - R_a²) / L
Explanation:
a) The resistance of a material is given by
R = ρ l / A
where ρ is the resistivity, l is the length and A is the area
the length is l = L and the resistivity is ρ = ρ₀
the area is the area of the cylindrical shell
A = π r_b² - π r_a²
A = π (r_b² - r_a²)
we substitute
R = ρ₀ L /π(r_b² - R_a²)
b) The potential difference is related to current and resistance by ohm's law
V = i R
we subsist the expression of resistance
V = I ρ₀ L /π (r_b² - R_a²)
ρ₀ = V / I π (r_b² - R_a²) / L
Ответ:
ok