# Impact of Adding Resistor on DC Circuit Current

In summary, the conversation discusses the addition of a third resistor in parallel with two existing resistors in a circuit and the potential difference across all three resistors. The question arises about the effect on the current in the battery and the application of Kirchhoff's Current Law.

## Homework Statement

Let's say i have a circuit with two resistors connected in parallel with some source. Then another resistor is added in parallel with the first two so what happen to the current in the battery?

## The Attempt at a Solution

Should the current in the battery decrease since the potential is split across the three resistors?

The third resistor is parallel to the other two parallel ones. The common points are connected to the terminals of the battery. So what about the potential difference across all resistors?

Did not you mean that the third resistor is connected in series with the other two parallel ones? ehild

No it's is what it is, first there where two in parallel then there was three. The potential difference should the same across all the resistors but current would be distributed, but I'm not sure how this would affect the current going through the battery since the current would meet back up and go through the battery anyways

What is the current through a resistor R when the potential difference is V across it?

What does Kirchhoff's Current Law state about the currents at a node? ehild

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I would like to clarify some points before providing a response. First, it is important to note that the term "current in the battery" can be misleading. The battery does not generate or supply current, but rather it creates a potential difference (voltage) that drives the flow of electrons through the circuit. Therefore, it would be more accurate to refer to the current in the circuit, rather than the battery.

Now, regarding the impact of adding a resistor on the current in a DC circuit, we can use Ohm's Law to understand the relationship between voltage, current, and resistance. Ohm's Law states that the current in a circuit is directly proportional to the voltage and inversely proportional to the resistance.

In the scenario described, adding a resistor in parallel with the two existing resistors would decrease the overall resistance in the circuit. This means that the current would increase, as the voltage remains constant. This is because the additional resistor provides an alternative path for the electrons to flow, reducing the overall resistance in the circuit and allowing more current to flow.

However, it is important to note that the current in the battery (or voltage source) would remain the same, as the voltage it provides is constant. The current in the circuit would increase, but this does not necessarily mean that the battery is supplying more current.

In summary, adding a resistor in parallel to a DC circuit would decrease the overall resistance and increase the current in the circuit, while the current in the battery remains constant.

## 1. How does adding a resistor affect the current in a DC circuit?

Adding a resistor to a DC circuit will decrease the current flowing through the circuit. This is because resistors hinder the flow of electrons, causing a decrease in the overall current.

## 2. Will the resistance of the resistor impact the current in a DC circuit?

Yes, the resistance of the resistor will have a direct impact on the current in a DC circuit. The higher the resistance, the lower the current will be, and vice versa.

## 3. Can adding multiple resistors in a DC circuit increase the current?

No, adding multiple resistors in a DC circuit will not increase the current. In fact, it will decrease the current even further as each resistor adds to the overall resistance in the circuit.

## 4. How does the placement of the resistor in the circuit affect the current?

The placement of the resistor in the circuit does not affect the current. The current will be the same regardless of where the resistor is placed in the circuit, as long as it is in series with the rest of the components.

## 5. What is the relationship between the voltage, current, and resistance in a DC circuit with a resistor?

According to Ohm's law, the relationship between voltage, current, and resistance in a DC circuit is V=IR, where V is the voltage, I is the current, and R is the resistance. This means that for a given voltage, as the resistance increases, the current will decrease, and vice versa.

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