In a series circuit, how does the voltage split among the resistors?

In a series circuit, how does the voltage split among the resistors?

• A. Equally among all resistors
• B. In proportion to their resistance
• C. According to the total voltage
• D. It is unaffected

Answer: (B)

In a series circuit, the total voltage supplied is divided among the resistors based on their resistance values. This means that each resistor will have a voltage drop that is proportional to its resistance. When you have multiple resistors in a series, the total resistance is the sum of all individual resistances. According to Ohm's Law (V = IR), the voltage drop across each resistor can be calculated using the formula: \[ V_R = I \times R \] Where \( V_R \) is the voltage drop across the resistor, \( I \) is the current flowing through the circuit (which is the same through all components in a series), and \( R \) is the resistance of the individual resistor. As a result, a resistor with a higher resistance will have a larger share of the total voltage drop compared to a resistor with a lower resistance. The voltage distribution is not equal nor does it ignore the resistances; rather, it directly corresponds to how much resistance each component presents to the flow of current.

In a series circuit, the total voltage supplied is divided among the resistors based on their resistance values. This means that each resistor will have a voltage drop that is proportional to its resistance.

When you have multiple resistors in a series, the total resistance is the sum of all individual resistances. According to Ohm's Law (V = IR), the voltage drop across each resistor can be calculated using the formula:

[ V_R = I \times R ]

Where ( V_R ) is the voltage drop across the resistor, ( I ) is the current flowing through the circuit (which is the same through all components in a series), and ( R ) is the resistance of the individual resistor.

As a result, a resistor with a higher resistance will have a larger share of the total voltage drop compared to a resistor with a lower resistance. The voltage distribution is not equal nor does it ignore the resistances; rather, it directly corresponds to how much resistance each component presents to the flow of current.