The voltage division problem arises specifically in circuits with series connected resistors. This is because in a series circuit, the total voltage supplied is divided among the resistors in proportion to their resistance values, while the current remains the same through all resistors
. In contrast, the current division problem arises in parallel connected resistors , where the voltage across each resistor is the same but the current divides among the branches
. To summarize:
- Voltage division problem arises: In series resistor circuits.
- Current division problem arises: In parallel resistor circuits.
This principle is the basis of the voltage divider rule, which calculates the voltage drop across each resistor in a series circuit as a fraction of the total voltage, proportional to the resistor's value