Capacitance per unit length help

AI Thread Summary
To calculate the capacitance per unit length for a coaxial cable with an inner radius of 1.1 mm and an outer radius of 3.1 mm, the formula used is (2πkε₀) / ln(b/a), where k is the dielectric constant of the insulation material. The user initially attempted to solve the problem without knowing the value of k, leading to an incorrect result of 54.52. It was suggested to look up the dielectric constant for polyethylene, which is necessary for the calculation. The discussion emphasizes the importance of understanding the dielectric constant in determining capacitance. Accurate values for k are crucial for solving capacitance problems in coaxial cables.
budget76
Messages
2
Reaction score
0
1. Homework Statement [/b]
You are planning to install a home video studio. A very important piece of information is missing from the specifications. You must find the capacitance per unit length for a coaxial cable. The cable has an inner radius of 1.1 {\rm mm} and an outer conductor 3.1 {\rm mm} in radius separated by polyethylene insulation that acts as a dielectric.


Homework Equations


(2pi*k*epsilon_0) / (ln(b/a))


The Attempt at a Solution



I attempted to use the above formula but do not know what k is, and found on a different website the formula without k so I attempted to use it and got 54.52, which was wrong.

thanks for any help
 
Physics news on Phys.org
Did you look up the dielectric constant of polyethylene? That's what k is.
 
I did not, I'll give it a try. Thank you
 
I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
Thread 'A cylinder connected to a hanging mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
Back
Top