In a series circuit, how is the voltage across a resistor related to its resistance?

In a series circuit, the relationship between the voltage across a resistor and its resistance is directly proportional. This means that as the resistance of a resistor increases, the voltage drop across that resistor also increases, provided that the current flowing through the circuit remains constant. This principle is articulated in Ohm's Law, which states that voltage (V) equals current (I) multiplied by resistance (R), or V = I × R.

Thus, if you imagine a circuit with a constant current, increasing the resistance will result in a larger voltage drop across that resistor. Conversely, if resistance decreases while keeping the current steady, the voltage drop will decrease. This characteristic is foundational in circuit analysis, as it helps linemen understand how different components in the circuit will respond under varying conditions.

The other options suggest relationships that do not accurately reflect the nature of electrical components in a series circuit, highlighting the importance of understanding these fundamental principles.