Final answer:
A current i₀ enters into a parallel combination of resistors r₁ and r₂. current i₁ flows through r₁ and i₂ through r₂. the current i₀ distributes in such a way that the sum of the currents through each resistor is equal to the total current i₀.
Step-by-step explanation:
In other words, the current divides among the resistors in proportion to their individual resistances. Mathematically, we can express this relationship using Ohm's Law and the concept of equivalent resistance in parallel circuits:
- 1. The total current i₀ can be calculated using Ohm's Law: i₀ = V / Req, where V is the voltage across the parallel combination and Req is the equivalent resistance of the combination.
- 2. The individual currents i1 and i₂ through r₁ and r₂ can be determined using the concept of current division: i₁ = (i₀ * r₂) / (r₁ + r₂) and i₂ = (i₀ * r₁) / (r₁ + r₂).
So, in summary, the current i₀ entering a parallel combination of resistors r₁ and r₂ distributes in such a way that the currents i₁ and i₂ through r₁ and r₂ are determined by their respective resistances, as explained by the equations above.
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a current i₀ enters into a parallel combination of resistors r₁ and r₂. current i1 flows through r₁ and i₂ through r₂. the current i₀ distributes in such a way that______