To calculate the current through each resistor in a mixed circuit with both series and parallel components, first simplify the circuit by finding equivalent resistances for series and parallel combinations. For resistors in series, the total resistance is the sum of the individual resistances, while for parallel resistors, the total resistance can be found using the reciprocal formula. Once the equivalent resistances are determined, apply Ohm's Law to find the total current and then use the current divider rule for parallel branches to calculate the current through each resistor. It's essential to remember that in series circuits, the current remains the same across all resistors, while in parallel circuits, the voltage is the same but the current can differ. Understanding these principles will help in accurately determining the current through each resistor.