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The principle of resistors in series and parallel is to determine the total resistance of a circuit.
When resistors are connected in series, they are arranged one after the other in a single path. The total resistance of the circuit is the sum of the individual resistances. This is because the current flowing through each resistor is the same, and the voltage is divided across each resistor. Therefore, the total resistance is equal to the sum of the individual resistances.
When resistors are connected in parallel, they are arranged in multiple paths. The total resistance of the circuit is less than the smallest individual resistance. This is because the voltage across each resistor is the same, and the current is divided across each resistor. Therefore, the total resistance is less than the smallest individual resistance.
In both series and parallel circuits, the power dissipated by each resistor can be calculated using Ohm's Law and the power equation. The power dissipated by each resistor is proportional to the current flowing through it and the voltage across it.
Understanding the principles of resistors in series and parallel is important in designing and analysing circuits. It allows us to calculate the total resistance, current, voltage, and power of a circuit, and to choose the appropriate resistors for a given application.
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