Resistive Current Divider

Yaser Rahmati | یاسر رحمتی

Set Up the Circuit

In a current divider circuit with two resistors in parallel, let’s call the resistors as $R_{1}$ and $R_{2}$. The total current entering the parallel combination is $I_{total}$.

Apply Ohm’s Law

According to Ohm’s Law, the current flowing through each resistor is inversely proportional to its resistance. The current flowing through $R_{1}$ is $I_{1}$ and through $R_{2}$ is $I_{2}$. We can express them as:

$$I_{1}=\frac{V}{R_{1}} , I_{2}=\frac{V}{R_{2}}$$

Determine Total Current

The total current, $I_{total}$, entering the parallel resistors can be calculated as the sum of currents through $R_{1}$ and $R_{2}$ :

$$I_{total}=I_{1}+I_{2}=V(\frac{1}{R_{1}}+\frac{1}{R_{2}})$$

Calculate Individual Currents

Using the current divider formula, we can calculate the current through each resistor:

$$I_{1} = I_{total} \times \frac{R_{2}}{R_{1} + R_{2}} \; \; , \; \; I_{2} = I_{total} \times \frac{R_{1}}{R_{1} + R_{2}}$$

Example

Current Divider

Python

def calculate_current_divider(Is, R1, R2):
    total_resistance = 1 / (1/R1 + 1/R2)
    I1 = Is * (1 / R2) / total_resistance
    I2 = Is * (1 / R1) / total_resistance
    return I1, I2

Is = float(input("Enter the value of the current source Is: "))
R1 = float(input("Enter the value of resistor R1: "))
R2 = float(input("Enter the value of resistor R2: "))

I1, I2 = calculate_current_divider(Is, R1, R2)

print("Current through resistor R1: ", I1)
print("Current through resistor R2: ", I2)

Keywords

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