Underground cable with electrical short

AI Thread Summary
The discussion focuses on a problem involving a 10-km underground cable with two parallel wires, each having a resistance of 13 ohm/km. An electrical short occurs at a distance x from the west end, creating a conducting path with resistance R. The total resistance measured from the east end is 100 ohm, while from the west end, it is 200 ohm. Participants discuss how to approach the problem, particularly whether to add the resistances of the wires and the short circuit. The problem is ultimately solved, indicating that the participants successfully navigated the complexities of the resistance calculations.
carlyn medona

Homework Statement


A 10-km-long underground cable extends east to west and
consists of two parallel wires, each of which has resistance 13 ohm /km.
An electrical short develops at distance x from the west end when
a conducting path of resistance R
connects the wires (Fig. 27-31). The
resistance of the wires and the short
is then 100 ohm when measured from
the east end and 200 ohm when measured
from the west end. What are
(a) x and (b) R?

Homework Equations

The Attempt at a Solution


Actually I don't know how to start this problem, should the total resistance of wire and R get added up?
 
Physics news on Phys.org
I actually solved it.
 
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