How do you calculate the total resistance in a series DC circuit?

To calculate the total resistance in a series DC circuit, add up the individual resistances.

In a series DC circuit, the resistors are connected end-to-end, so the current flows through each resistor in turn. The total resistance is the sum of all the individual resistances. This can be calculated using the formula Rtotal = R1 + R2 + R3 + ... + Rn, where R1, R2, R3, etc. are the individual resistances.

It is important to note that in a series circuit, the current is the same through each resistor, but the voltage is split between them. This means that the voltage across each resistor is proportional to its resistance. For example, if there are two resistors in series, one with a resistance of 10 ohms and one with a resistance of 20 ohms, the voltage across the 10 ohm resistor will be one-third of the total voltage, and the voltage across the 20 ohm resistor will be two-thirds of the total voltage.

Calculating the total resistance in a series DC circuit is important for determining the total current and voltage in the circuit. It is also useful for calculating the power dissipated by each resistor, as the power dissipated is proportional to the resistance.