What is the equivalent resistance between points a and b when R = 12
Ω
?

Input Answer in Ohms

Question

What is the equivalent resistance between points a and b when R = 12 
Ω
 ?

Input Answer in Ohms

BlackTom AI · Accepted Answer

The diagram shows a network of resistors arranged between nodes a and b, with a central connection forming a direct link between the top and bottom rails at the middle of the network. When a conductor (a short) directly connects two nodes in a network, it forces those two nodes to have the same electric potential, effectively bypassing any resistors that lie between them.

In this circuit, the central vertical connection creates a short between the node immediately to the left of the central vertical line (on the top rail) and the corresponding node on the bottom rail. Because these two nodes are now at the same potential, current can flow through the zero-impedance short rather than through the surrounding resistors. As a result, the path of least resistance from a to b is the central short, making the equivalent resistance between a and b equal to zero, regardless of the resistor value R (here R = 12 Ω).

Conceptually, you can think of it as the short creating a direct wire connection that bypasses the entire resistor network between a and b. In a network with an ideal short in parallel with resistors, the short dominates and the overall resistance becomes 0 Ω.

If one were to analyze the network without the short, you would have a nonzero equivalent resistance determined by the arrangement and values of the resistors. However, with the central short present, that nonzero contribution is irrelevant because the short provides a path of zero resistance across a and b.

Thus, the equivalent resistance between points a and b is 0 Ω.

PHYS-222-30000 Chapter 21 -Current and Direct Current Circuits Test

What is the equivalent resistance between points a and b when R = 12 Ω ? Input Answer in Ohms

查看解析

登录即可查看完整答案

类似问题

In a consumer society, many adults channel creativity into buying things

Economic stress and unpredictable times have resulted in a booming industry for self-help products

People born without creativity never can develop it

A product has a selling price of $20, a contribution margin ratio of 40% and fixed cost of $120,000. To make a profit of $30,000. The number of units that must be sold is: Type the number without $ and a comma. Eg: 20000

Which of the following statement regarding cost is correct:

Under the assumptions used in cost-volume-profit analysis, as the activity increases:

The CVP and break-even analysis are supported by a range of important assumptions. Which of the following is not an assumption of the CVP:

The break-even point is that at which:

更多留学生实用工具

考试浏览器助手

风格化写作助手

论文查重助手

文献引用助手

课堂转译助手

课堂笔记助手

Quiz搜索助手

学校历年真题

智能刷题助手

智能匹配练习

希望你的学习变得更简单