A series circuit is a type of electrical circuit in which the components, such as resistors, are connected end-to-end in a single path, forming a linear sequence. In a series circuit, the same current flows through all the components because there's only one path for the current to follow. This means that the total current entering the circuit is the same as the current passing through each individual component.
Resistances in a series circuit are calculated by simply adding up the individual resistances of the components. The formula to calculate the total resistance (R_total) in a series circuit is:
R_total = R1 + R2 + R3 + ... + Rn
Where:
R_total is the total resistance of the series circuit.
R1, R2, R3, ... Rn are the individual resistances of the components in the circuit.
For example, if you have a series circuit with three resistors of 5 ohms, 10 ohms, and 15 ohms, the total resistance of the circuit would be:
R_total = 5 ohms + 10 ohms + 15 ohms = 30 ohms
It's important to note that in a series circuit, the total resistance increases as more resistors are added. This is because the current has to pass through each resistor, encountering more resistance along the way.
Additionally, the total voltage applied to the circuit is divided among the individual components in proportion to their resistance. This means that the voltage across each resistor will vary based on its resistance, but the same current will flow through all the components.
In summary, a series circuit is characterized by components connected end-to-end with the same current flowing through them. To calculate the total resistance in a series circuit, you simply add up the individual resistances of the components.