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The circuit divider rule explains the way in which the current at any node divides among the different branches. Current Divider Formula Let's consider an electrical circuit which contains a single current source and two parallel resistors. The current I t enters the node. A parallel circuit has the same voltage across all components, but current always divide into parallel components.
We are interested to find the current flowing through resistor R x. The formula for current divider law is now:. Where R t is the equivalent resistance of parallel resistors.
Current Divider Rule Examples An electric circuit has two parallel resistors of 2 and 10 ohms. Apply the current divider equation to find the current flowing through both resistors when the input is 5 A.
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.
The voltage division rule can be understood by considering a series circuit shown below. In a series circuit, voltage is divided, whereas the current remains the same.
Let us consider a voltage source E with the resistance r 1 and r 2 connected in series across it. Therefore, the current i in the loop ABCD will be:. By putting the value of I from equation 8 in equation 9 the voltage across the resistance r 1 and r 2 respectively are given by the equation shown below as:.
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