Proving the voltage divider rule?

In summary, the voltage divider rule is a principle in electronics that states the voltage across a series circuit is divided between the resistors in proportion to their resistance values. It is derived from Ohm's law and assumes that the resistors are connected in series, there is no current leakage, and the internal resistance of the source is negligible. It is commonly used for simple series circuits with resistors and can be applied to more complex circuits as long as the resistors are connected in series. However, it may not be accurate for circuits with non-linear elements. It is a theoretical calculation and may not be completely accurate in practical applications, but it is a useful approximation for simple circuits.
  • #1
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What SIMPLE method would you use to prove that series circuits are voltage dividers, while the current remains constant?
Also
What Simple method would I have to use to confirm that parallel circuits are current dividers, while the potential difference remains constant?
 
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  • #2
ohms law in both cases
 

1. What is the voltage divider rule?

The voltage divider rule is a principle in electronics that states the voltage across a series circuit is divided between the resistors in proportion to their resistance values. It is used to calculate the output voltage in a voltage divider circuit.

2. How is the voltage divider rule derived?

The voltage divider rule is derived from Ohm's law, which states that the current through a conductor between two points is directly proportional to the voltage across the two points. By rearranging Ohm's law, we can derive the voltage divider formula V2 = (R2 / (R1 + R2)) * V1, where V1 is the input voltage and V2 is the output voltage.

3. What are the assumptions made in the voltage divider rule?

The voltage divider rule assumes that the resistors are connected in series, there is no current leakage, and the internal resistance of the source is negligible. It also assumes that the resistors are of equal quality and have a linear relationship between voltage and current.

4. Can the voltage divider rule be used for any type of circuit?

The voltage divider rule is most commonly used for simple series circuits with only resistors. It can also be applied to more complex circuits as long as the resistors are connected in series. However, it may not be accurate for circuits with non-linear elements, such as diodes or transistors.

5. How accurate is the voltage divider rule?

The voltage divider rule is a theoretical calculation and does not account for real-world factors such as internal resistance of the source or temperature changes. Therefore, it may not be completely accurate in practical applications. However, it is a useful approximation for simple circuits and can provide a good estimate of the output voltage.

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