How Many Parts Must a 100Ω Wire Be Cut Into to Achieve 1Ω Total Resistance?

Please fill in those missing pieces and try again.In summary, the conversation discusses the need for help in solving a physics problem involving a 100\Omega resistance wire cut into equal parts and connected in parallel, resulting in a total resistance of 1\Omega. The question at hand is how many parts the wire was cut into. The speaker is reminded to follow the homework template and provide relevant equations and a solution attempt.
  • #1
Karolis
I really need you help to solve this problem. I've been trying to solve it for like an hour but still can't do it. So here it is.
100[tex]\Omega[/tex] resistance wire is cut in equal parts, which are connected in parallel. They're total resistance is 1[tex]\Omega[/tex]. In how many parts the wire is cut?

Thank you.
 
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  • #2
Karolis said:
I really need you help to solve this problem. I've been trying to solve it for like an hour but still can't do it.



So here it is.
100[tex]\Omega[/tex] resistance wire is cut in equal parts, which are connected in parallel. They're total resistance is 1[tex]\Omega[/tex]. In how many parts the wire is cut?
Welcome to Physics Forums.

You seem you have forgotten to use the homework template, particularly sections two and three which ask you to write down the relevant equations and detail an attempted solution.
 
  • #3


Hello there,

I am sorry to hear that you are struggling with your electricity homework. It can be a challenging subject, but I am here to help you solve this problem.

Firstly, let's understand the question. We are given a 100Ω resistance wire that is cut into equal parts and connected in parallel. The total resistance of these parts is 1Ω. We need to find out how many parts the wire is cut into.

To solve this, we can use the formula for resistors in parallel: 1/R(total) = 1/R(1) + 1/R(2) + 1/R(3) + ... + 1/R(n), where R(total) is the total resistance and R(1), R(2), R(3), etc. are the individual resistances of the parts.

Since we know that the total resistance is 1Ω and all the parts are equal, we can rewrite the formula as 1/1Ω = 1/R + 1/R + 1/R + ... + 1/R (n times).

Simplifying this, we get n/R = 1, where n is the number of parts and R is the resistance of each part.

Now, we can rearrange the equation to get n = R. Since we know that the total resistance of the parts is 1Ω, we can substitute this value for R and get n = 1. This means that the wire was cut into 1 part and connected in parallel, resulting in a total resistance of 1Ω.

I hope this explanation helps you understand and solve the problem. If you have any further questions, please feel free to ask. Best of luck with your homework!
 

Related to How Many Parts Must a 100Ω Wire Be Cut Into to Achieve 1Ω Total Resistance?

1. What is electricity?

Electricity is a form of energy that is created by the flow of electrons through a conductive material. It is a fundamental force of nature and is used to power many of our modern devices and technologies.

2. How is electricity generated?

Electricity can be generated in a variety of ways, including through the use of fossil fuels, nuclear power, and renewable sources such as wind and solar. These methods involve using a turbine to spin a generator, which converts mechanical energy into electrical energy.

3. What are the different types of electricity?

The two main types of electricity are direct current (DC) and alternating current (AC). DC flows in one direction and is commonly used in batteries and electronic devices, while AC alternates direction and is typically used to power our homes and businesses.

4. How does electricity travel through wires?

Electricity travels through wires by creating a closed circuit, which allows the flow of electrons to move from the power source to the desired destination. The wires are made of conductive materials, such as copper, which allows the flow of electrons to pass through easily.

5. What are the safety precautions to take when working with electricity?

When working with electricity, it is important to take safety precautions to avoid electric shocks. These include wearing protective gear, such as rubber gloves and boots, and making sure to turn off the power source before working on any electrical equipment. It is also important to avoid using damaged or frayed wires and to never touch electrical equipment with wet hands.

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