# Voltage Divider And Current Divider Rule Pdf

By Tony R.

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26.03.2021 at 00:23

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Published: 26.03.2021

*Voltage Divider and Current Divider are the most common rules applied in practical electronics. As you know, there are two types of combinations in a circuit, they are series and parallel connections.*

- Current Divider Circuits and the Current Divider Formula
- Current Division and Voltage Division Rule
- Current Division and Voltage Division Rule

## Current Divider Circuits and the Current Divider Formula

Find current of resistors, use the current division rule. Suppose that , , , and Solution: and are parallel. The current of is passing through them and it is actually divided between them. The branch with lower resistance has higher current because electrons can pass through that easier than the other branch. Using the current division rule, we get. Note that because. What is the direction for and?

A parallel circuit is often called a current divider for its ability to proportion—or divide—the total current into fractional parts. Knowing that branch currents add up in parallel circuits to equal the total current, we can arrive at total current by summing 6 mA, 2 mA, and 3 mA:. The final step, of course, is to figure total resistance. Once again, it should be apparent that the current through each resistor is related to its resistance, given that the voltage across all resistors is the same. Rather than being directly proportional, the relationship here is one of inverse proportion. For example, the current through R 1 is twice as much as the current through R 3 , which has twice the resistance of R 1. If we were to change the supply voltage of this circuit, we find that surprise!

## Current Division and Voltage Division Rule

A voltage divider is a simple series resistor circuit. The current divider rule is derived from ohms law, which states that the current flowing between two points in a circuit equals the voltage divided by the resistance. The currents in the various branches of such a circuit will always divide in such a way as to minimize the total energy expended. The branch with lower resistance has higher current because electrons can pass through that easier than the other branch. Calculate the output voltages of these two voltage divider circuits v a and v b.

From the given values of individual resistances, we can determine a total circuit resistance, knowing that resistances add in series:. It should be apparent that the voltage drop across each resistor is proportional to its resistance, given that the current is the same through all resistors. Notice how the voltage across R 2 is double that of the voltage across R 1 , just as the resistance of R 2 is double that of R 1. If we were to change the total voltage, we would find this proportionality of voltage drops remains constant:. The proportionality of voltage drops ratio of one to another is strictly a function of resistance values. With a little more observation, it becomes apparent that the voltage drop across each resistor is also a fixed proportion of the supply voltage. The voltage across R 1 , for example, was 10 volts when the battery supply was 45 volts.

In electronics , a current divider is a simple linear circuit that produces an output current I X that is a fraction of its input current I T. Current division refers to the splitting of current between the branches of the divider. The currents in the various branches of such a circuit will always divide in such a way as to minimize the total energy expended. The formula describing a current divider is similar in form to that for the voltage divider. However, the ratio describing current division places the impedance of the considered branches in the denominator , unlike voltage division where the considered impedance is in the numerator. This is because in current dividers, total energy expended is minimized, resulting in currents that go through paths of least impedance, hence the inverse relationship with impedance.

Current Division by Parallel Conductances. Series Voltage Divider with Parallel Load Current This formula can be used for any number of series.

## Current Division and Voltage Division Rule

A parallel circuit acts as a current divider as the current divides in all the branches in a parallel circuit, and the voltage remains the same across them. The current division rule determines the current across the circuit impedance. The current division is explained with the help of the circuit shown below:. The current I has been divided into I 1 and I 2 into two parallel branches with the resistance R 1 and R 2 and V is the voltage drop across the resistance R 1 and R 2.

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*Разница между 238 и 235 - три.*