where voltage division problem arises

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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