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# Current Divider The document discusses the current divider. **Description of the circuit:** A circuit with two resistors, R1 and R2, connected in parallel with a total current I flowing through. The current I is divided into two currents, I1 and I2, through R1 and R2 respectively. **Relationsh...

# Current Divider The document discusses the current divider. **Description of the circuit:** A circuit with two resistors, R1 and R2, connected in parallel with a total current I flowing through. The current I is divided into two currents, I1 and I2, through R1 and R2 respectively. **Relationships:** * **Series:** Current is the same, voltage is different. * **Parallel:** Current is different, voltage is the same. **Formulas:** The document provides formulas to calculate I1 and I2: * $I_{1} = \frac{R_{2}}{R_{1} + R_{2}} I$ * $I_{2} = \frac{R_{1}}{R_{1} + R_{2}} I$ **Example:** Given: * $R_{1} = 2$ * $R_{2} = 10 $ * $I = 12 A$ Calculation for $I_{1}$: $I_{1} = \frac{10}{2 + 10} \times 12 = \frac{10}{12} \times 12 = 10 A$ Calculation for $I_{2}$: $I_{2} = \frac{2}{2 + 10} \times 12 = \frac{2}{12} \times 12 = 2 A$ **Conclusion:** The document demonstrates the calculation of the divided current (I1 and I2). The formulas and example show how to calculate the current flowing through each resistor in a parallel circuit, given the total current and resistor values.