What Is Current Division Formula

22 Jul, 2021

This tool calculates the current flow through each of up to 10 parallel-connected resistances connected to a current source. R 2 Resistance across which current is to be determined 4 Ω.

Current Divider And Current Division

Thus we can write the current division formulaas Example 13.

What is current division formula. A point where two or more than two components are joined. Thus in the current division rule it is said that the current in any of the parallel branches is equal to the ratio of opposite branch resistance to the total resistance multiplied by the total current. We are interested to find the current flowing through resistor R x.

Ix RtRx It. The current source iSt 5 cos wt A the resistor R 250 mohm the inductor L 53 uH and the frequency f 1 kHz. The two formulas above explain that how two currents are calculated.

The rule or formula derived from these known impedances to know the portion of total current through any parallel path is known as the current divider rule. In terms of admittance the formula for a current divider is given by. Current divider formula is employed to calculate the magnitude of divided current in the circuits.

This rule is very important and widely used in the field of electric engineering in different applications. The current in conductor is given by Ohms law as where Vis the voltage across each conductor. The current divider rule will now become in our case.

R t Equivalent resistance of parallel resistors See formula below 133 Ω. I 1 IxR 2 R 1 R 2 I 2 IxR 1 R 1 R 2 Carefully observe the above formula. Circuits containing series and parallel connections-- Consider the circuit of figure 115.

The formula for current division rule may be written as below. Current Divider Formula. Thus from the equation 6 and 7 the value of the current I 1 and I 2 respectively is given by the equation below.

The formula for current divider law is now. Find the current in the inductor and the current in the resistor. I t Total current Incoming current at the node 10 A.

I x I 2 Unknown current. You will notice that if we want to find current through any one of the resistances say R 1 the total current I is multiplied with the ratio of another resistance R 2 total resistance R 1 R 2. And now considering V I 2 R 2 the equation will be.

Where It is the equivalent resistance and it can be calculated by using the formula. Applying current division rule in the above circuit Current flow through R1 I 1 I T. Clicktap the circuit above to analyze on-line or click this link to Save under Windows.

Current Division Rule Formula. A parallel circuit has the same voltage across all components but current always divide into parallel components. Voltage across the parallel circuit as the voltage is same across all the components of the parallel circuit In terms of impedance the formula for a current divider is given by.

The electrical current entering the node of a parallel circuit is divided into the branches. We have discussed here current division rule and how to derive it. According to the current division rule the current through any branch is equal to the ratio of the total resistance in parallel to the branch to the total resistance multiplied by the total current in the circuit.

About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy Safety How YouTube works Test new features Press Copyright Contact us Creators. Statement and formula of Current Divider. Putting the value of V I 1 R 1 from the equation 5 in equation 4 we finally get the equation as.

Current Divider And Current Division