When the output
of a circuit is not loaded, the current divider rule can be used to calculate
the current flow in the output branch circuit (R2). The currents I1 and I2 in
Figure 2–6 are assumed to be flowing in the branch circuits. Equation 2–9 is
written with the aid of Kirchoff’s current law. The circuit voltage is written
in Equation 2–10 with the aid of Ohm’s law. Combining Equations 2–9 and 2–10
yields Equation 2–11.
Figure 2–6. Current Divider Rule
Rearranging the
terms in Equation 2–11 yields Equation 2–12.
The total
circuit current divides into two parts, and the resistance (R1) divided by the
total resistance determines how much current flows through R2. An easy method
of remembering the current divider rule is to remember the voltage divider
rule. Then modify the voltage divider rule such that the opposite resistor is
divided by the total resistance, and the fraction is multiplied by the input
current to get the branch current.
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