Resistances in series and parallel

In summary, the conversation discussed the advantages and disadvantages of series and parallel connections in circuits, as well as the relationships between voltage drops and currents in both series and parallel resistor connections. The person asking the questions was reminded to show effort in solving the problems before seeking help.
  • #1
jhenryl
1
0
answer these questions please..thanks...


1.) what are the advantage and disadvantages of the series and parallel connection?

2.) when resistors are connected in series in a circuit, what are the relationships between the voltage drops across the resistor and the currents through the resistors?

3) when resistors are connected in parallel in a circuit, what are the relationships between the voltage drops across the resistors and the currents through the resistors?
 
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  • #2
jhenryl said:
answer these questions please..thanks...


1.) what are the advantage and disadvantages of the series and parallel connection?

2.) when resistors are connected in series in a circuit, what are the relationships between the voltage drops across the resistor and the currents through the resistors?

3) when resistors are connected in parallel in a circuit, what are the relationships between the voltage drops across the resistors and the currents through the resistors?

Welcome to the PF. Per the PF Rules (see the link at the top of the page), you need to show some effort in working on your questions, before we can offer tutorial help. Please show us your thoughts on each of the problems...
 
  • #3


I would like to clarify that resistors are components in a circuit that resist the flow of electric current. When resistors are connected in series, they are arranged in a single path, one after the other. In parallel connection, they are arranged in multiple paths, with each resistor having its own path.

Now, to answer your questions:

1) The advantage of series connection is that the total resistance in the circuit increases, which can be useful in controlling the amount of current flowing through the circuit. However, the disadvantage is that if one resistor fails, the entire circuit will stop working. On the other hand, the advantage of parallel connection is that the total resistance decreases, allowing for more current to flow. The disadvantage is that the overall resistance is harder to control and if one resistor fails, the rest of the circuit can still function.

2) In a series connection, the voltage drop across each resistor is directly proportional to its resistance. This means that the higher the resistance, the higher the voltage drop. As for the current, it remains the same throughout the circuit since there is only one path for it to flow.

3) In a parallel connection, the voltage drop across each resistor is the same, as they are all connected to the same power source. However, the current is divided among the resistors, with each resistor receiving a fraction of the total current based on its resistance. This means that the higher the resistance, the lower the current flowing through that particular resistor.

In conclusion, both series and parallel connections have their own advantages and disadvantages, and their effects on voltage drops and current are different. It is important to understand these relationships in order to design and troubleshoot circuits effectively.
 

1. What is the difference between resistances in series and parallel?

Resistances in series are connected one after another in a single path, while resistances in parallel are connected side by side in multiple paths. This results in a different overall resistance for each configuration.

2. How do I calculate the total resistance of resistances in series and parallel?

For resistances in series, the total resistance is simply the sum of all individual resistances. For resistances in parallel, the reciprocal of the total resistance is equal to the sum of the reciprocals of each individual resistance.

3. What happens to the total resistance when resistances are connected in series and parallel?

In a series configuration, the total resistance increases as more resistances are added. In a parallel configuration, the total resistance decreases as more resistances are added.

4. Can resistances in series and parallel be combined?

Yes, it is possible to have a combination of resistances in series and parallel in a circuit. This is known as a series-parallel circuit and requires a more complex calculation to determine the total resistance.

5. How does the total current and voltage change in resistances in series and parallel?

In series, the total current is the same throughout all resistances, while the voltage is divided among each resistance. In parallel, the total current is divided among each resistance, while the voltage remains the same across all resistances.

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