Resistance Between Terminals AC and AD

In summary, the conversation is about determining the resistance of an underground telephone cable that has suffered a short at point P. The technician measures the resistance between terminals AB and CD, labeled as RAB and RCD respectively. The homework equations involve using the formula R=pl/A, but the student is unsure of how to apply it in this situation. The attempt at a solution involves finding expressions for RAB and RCD in terms of the distance x from A to the short.
  • #1
shimizua
100
0

Homework Statement


What is the resistance between terminals AC? What is the resistance between AD?

An underground telephone cable, consisting of a pair of wires, has suffered a short
somewhere along its length (at point P in the Figure). The telephone cable is L long,
and to determine where the short is, a technician first measures the resistance between
terminals AB to be RAB; then he measures the resistance across the terminals CD to be
RCD.

http://capa-new.colorado.edu/teacher/capalibrary/Graphics/Gtype58/prob08.gif



Homework Equations


So I know that to find resistance we do R=pl/A but I don't really know how I would find it in this situation since it is not like finding AB or CD like I have done before. Please help



The Attempt at a Solution


Not sure if I would just kinda do something like
R(ac)=pL/A ? and just have it be that simple and then
R(ad)=pL/A + R(cd) ? please help
 
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  • #2
Say x is the distance from A to the short. Can you write an expression for the resistance RAB in terms of x? How about an expression for RCD in terms of x?
 

Related to Resistance Between Terminals AC and AD

1. What is resistance between terminals AC and AD?

The resistance between terminals AC and AD refers to the amount of opposition to the flow of electricity between these two points. It is measured in ohms and is influenced by factors such as the material of the conductors, their length and cross-sectional area, and the temperature.

2. How is resistance between terminals AC and AD calculated?

The resistance between terminals AC and AD can be calculated using Ohm's Law, which states that resistance is equal to the voltage difference between the two points divided by the current flowing through them. It can also be calculated using the formula R = ρL/A, where ρ is the resistivity of the material, L is the length of the conductor, and A is the cross-sectional area.

3. What factors affect the resistance between terminals AC and AD?

The resistance between terminals AC and AD is affected by several factors, including the material of the conductors, their length and cross-sectional area, and the temperature. Different materials have different resistivities, and longer and thinner conductors have higher resistance. Temperature can also affect resistance, as it can change the properties of the material.

4. What are some common applications of resistance between terminals AC and AD?

The concept of resistance between terminals AC and AD is important in many practical applications, such as in electrical circuits and electronic devices. It is used to control the flow of electricity and ensure that the correct amount of current is delivered to different parts of a circuit. Resistance is also used in devices such as resistors, which are used to limit current flow and protect components from damage.

5. How does the resistance between terminals AC and AD affect the overall performance of a circuit?

The resistance between terminals AC and AD can significantly impact the overall performance of a circuit. High resistance can lead to a voltage drop and decrease the amount of current flowing through the circuit. This can cause issues such as overheating and reduced efficiency. On the other hand, low resistance can lead to excessive current flow and potentially damage components. Therefore, it is important to consider and manage the resistance between terminals AC and AD in order to optimize circuit performance.

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