Define a current divider circuit.

Current divider circuits are commonly used in electronics to supply different components or loads with appropriate amounts of current, based on their individual requirements. This allows multiple components to be connected in parallel to a single current source while ensuring that each component receives the correct amount of current for its operation.

The current divider rule is used to calculate the current flowing through each branch in the circuit. It states that the current flowing through a particular branch is inversely proportional to the resistance or impedance of that branch compared to the total resistance or impedance of all the branches in the circuit.

Mathematically, for a current divider circuit with 'N' branches:

Let I_in be the total current entering the current divider circuit, and I_i be the current flowing through the 'i-th' branch with resistance R_i.

The current divider rule is given by:

I_i = (I_in * (1 / R_i)) / Σ(1 / R_i)

Where:

I_i is the current in the 'i-th' branch.

R_i is the resistance or impedance of the 'i-th' branch.

Σ(1 / R_i) represents the sum of the reciprocals of all the resistances or impedances in the circuit.

It's important to note that this rule assumes an ideal situation with negligible current draw from the input source compared to the total current. In practice, factors like wire resistance, component tolerance, and other non-idealities may affect the current distribution, so precise calculations may require considering those factors as well.