Parallel and series circuits

In summary, a parallel circuit has components connected in separate branches while a series circuit has components connected in a single path. A parallel circuit is better for powering multiple devices and has a lower total resistance, while a series circuit has a higher total resistance. Parallel and series circuits can be combined to create a complex circuit, known as a combination circuit. Parallel circuits have a higher current due to their branching and lower total resistance.
  • #1
huskydc
78
0
How can you separate the series and parallel in this combination?? I'm confused... the question asks for equivalent resistance


I thought it's somelike like this:

1/R eq = 1/2R(1) + 1/R(1) + 1/R(2)

but it's wrong...help?
 

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  • #2
I can't see the picture, but for resistors in parallel 1/(total resistance) = sum of(1/induvidual resistances)
 
  • #3


In order to find the equivalent resistance in a combination of series and parallel circuits, you will need to use a combination of Ohm's law and the rules for calculating resistances in series and parallel.

First, you will need to identify the components that are in series and those that are in parallel. In a series circuit, the components are connected one after the other, so the current that flows through each component is the same. In a parallel circuit, the components are connected side by side, so the voltage across each component is the same.

To calculate the equivalent resistance for components in series, you simply add the individual resistances together. In your example, the equivalent resistance would be R(eq) = R(1) + R(1) + R(2).

To calculate the equivalent resistance for components in parallel, you will need to use the equation 1/R(eq) = 1/R(1) + 1/R(2) + 1/R(3) + ... where R(eq) is the equivalent resistance and R(1), R(2), R(3), etc. are the individual resistances.

In your example, if R(1) and R(2) are in parallel, the equivalent resistance would be R(eq) = 1/(1/R(1) + 1/R(2)). If R(1) and R(2) are in series and R(3) is in parallel with them, the equivalent resistance would be R(eq) = R(1) + R(2) + 1/(1/R(3)).

Using these rules and equations, you can calculate the equivalent resistance for any combination of series and parallel circuits. I hope this helps to clarify the process for you.
 

1. What is the difference between a parallel and series circuit?

In a parallel circuit, the components are connected in separate branches, allowing multiple paths for the current to flow. In a series circuit, the components are connected one after the other, creating a single path for the current to flow.

2. Which circuit is better for powering multiple devices?

A parallel circuit is better for powering multiple devices because each device can receive the full voltage of the power source and will not affect the functioning of other devices in the circuit. In a series circuit, the voltage is divided among the devices, resulting in a lower voltage for each device.

3. How does the total resistance differ in a parallel and series circuit?

In a parallel circuit, the total resistance decreases as more components are added, as each branch provides an additional path for the current to flow. In a series circuit, the total resistance increases as more components are added, as the current must pass through each component in the circuit.

4. Can a parallel and series circuit be combined?

Yes, a parallel and series circuit can be combined to create a complex circuit. This is known as a combination circuit and is commonly used in household wiring.

5. Why do parallel circuits have a higher current than series circuits?

In a parallel circuit, the branching allows for a higher current to flow through each branch, as opposed to a series circuit where the current must pass through each component. Additionally, in a parallel circuit, the total resistance is lower, which allows for a higher current to flow through the circuit.

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