How to draw a circuit from a word problem.

In summary, the conversation discusses how to solve a homework question involving four identical 4Ω resistors that have been connected in a way to give a total resistance of 4Ω. The question asks for a diagram to show the connection and also asks if it matters if the resistors are in parallel or series. The conversation then discusses the rules for calculating resistance in series and parallel circuits and explores the possibility of three resistors being in parallel and one in series. The suggestion is made to add two more resistors in parallel to reach a total resistance of 4Ω.
  • #1
NeomiXD
31
0
Homework Question:

Four identical 4Ω resistors have been connected in such a way that their total resistance is 4Ω. Draw a diagram to show how they are connected.

My Question:

How do you solve a question like this? How do you classify it as a parallel or series circuit or does it even matter?
 
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  • #2
For resistors in series you add and in parallel you add the reciprocals right?

So automatically you can see that the four resistors are not all in series and not all in parallel right?

So what happens if you have three in parallel and one in series, what will happen? (greater, less or equal 4)

If it is equal to four then you stop, if not you continue to just create possible combinations in your mind. You will easily see that you can't just place a 4Ω resistor in series to get total resistance of 4Ω.
 
  • #3
NOT the answer they were looking for :biggrin:

attachment.php?attachmentid=37545&stc=1&d=1311696710.gif
 

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  • #4
try adding 2 resistors in parellel. what result you get? ... Now look what else you need to reach 4Ω ...
 
  • #5


In order to draw a circuit from a word problem, you will need to use your knowledge of circuit components and their properties. First, identify the components mentioned in the problem, in this case, four 4Ω resistors. Then, determine how they are connected by reading the problem carefully.

In this case, the problem states that the total resistance is 4Ω, which means the resistors must be connected in a way that reduces the overall resistance. This can be achieved by connecting them in parallel, where the total resistance is calculated by adding the reciprocals of each resistor's resistance.

To draw the circuit, you can use symbols for the components (resistors) and connecting lines to represent the connections. In this case, you will draw four resistors connected in parallel, with each resistor connected to the same two points (nodes) on either end. The total resistance of the circuit will be 4Ω, as stated in the problem.

The classification of the circuit as parallel or series does matter, as it affects the overall resistance and current flow in the circuit. In a parallel circuit, the total resistance decreases as more components are added, while in a series circuit, the total resistance increases. It is important to understand the different properties of these circuits in order to accurately draw and analyze them.
 

FAQ: How to draw a circuit from a word problem.

How do I identify the circuit components in a word problem?

To draw a circuit from a word problem, you first need to identify the different components that make up the circuit. These may include resistors, capacitors, inductors, and various types of electrical sources such as batteries or power supplies. Look for keywords in the problem that can help you identify these components, such as "resistance" for resistors or "voltage" for electrical sources.

What is the correct way to draw a circuit diagram?

The most commonly used convention for drawing circuit diagrams is to use a series of lines and symbols to represent the different components and their connections. Start by placing the electrical source at the top of the diagram, then draw the different components in the order they are connected. Be sure to label each component with its corresponding symbol and value. Finally, connect each component with lines to show how they are connected to each other.

3. How do I determine the direction of current in a circuit?

The direction of current in a circuit is typically shown with an arrow pointing in the direction of flow. To determine the direction, you can use the conventional flow notation, where current is assumed to flow from positive to negative, or the electron flow notation, where current is shown as flowing from negative to positive. Usually, the direction of current is indicated in the circuit diagram, but if not, you can choose either notation as long as you are consistent throughout the diagram.

4. How do I handle parallel and series circuits in a word problem?

Parallel circuits are those where the components are connected in branches, while series circuits have components connected in a single loop. To draw these types of circuits, you need to understand how the components are connected and how current flows through them. In parallel circuits, the voltage across each branch is the same, while in series circuits, the voltage is divided among the components. Use the appropriate symbols and connection lines to accurately represent these types of circuits in your diagram.

5. How can I check if my circuit diagram is correct?

The best way to check if your circuit diagram is correct is to use the principles of circuit analysis. This involves using Ohm's law, Kirchhoff's laws, and other circuit analysis techniques to solve for the unknown quantities in the problem and see if they match the values given in the word problem. You can also use simulation software or build the circuit in real life to verify your diagram's accuracy.

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