How does the equivalent resistance of a series circuit compare to the resistance values of the individual resistances in the circuit?
The equivalent(total) resistance in a series circuit is greater than either resistor.
In a series circuit, the equivalent resistance (R_eq) is equal to the sum of the resistance values of the individual resistors (R1, R2, R3, ...). Mathematically, R_eq = R1 + R2 + R3 + ..., where R_eq is the equivalent resistance and R1, R2, R3, ... are the individual resistances.
To calculate the equivalent resistance, you can simply add up the resistance values of each resistor in the circuit. This means that the equivalent resistance in a series circuit is always greater than or equal to the resistance of any individual resistor.
This is because, in a series circuit, the current flowing through each resistor is the same, and the total resistance in the circuit increases as more resistors are added. As a result, the overall opposition to the flow of current in a series circuit is greater than the resistance of any individual resistor.
In a series circuit, the equivalent resistance (also known as the total resistance or total impedance) is equal to the sum of the individual resistances in the circuit. This means that the equivalent resistance is greater than or equal to the highest individual resistance in the series circuit.
To calculate the equivalent resistance in a series circuit, you simply add up the values of all the resistances connected in series. This is because the current passing through each resistor is the same, and the total voltage across the circuit is equal to the sum of the voltage drops across each resistor.
Let's say you have three resistors R1, R2, and R3 connected in series. The equivalent resistance (Re) is calculated as:
Re = R1 + R2 + R3
So, the equivalent resistance of a series circuit is always greater than or equal to the highest resistance value in the circuit, as the individual resistances add up to create the overall resistance of the circuit.