Ohm’s law relationship — resistance vs current: In a simple conductor at constant temperature supplied by a fixed voltage, resistance (R) and current (I) are _________.

Introduction / Context:
Ohm’s law, expressed as V = I * R, links voltage (V), current (I), and resistance (R). Understanding how any two of these quantities co-vary when the third is held constant is essential for quick circuit intuition and troubleshooting.

Given Data / Assumptions:

• Voltage V is held constant (e.g., a regulated supply).
• Temperature and material properties are constant so R does not change with I.
• Linear (ohmic) device behavior is assumed.

Concept / Approach:
From V = I * R with V constant, solve for I: I = V / R. This shows that current varies inversely with resistance. Doubling R halves I; halving R doubles I. The proportionality is direct only between V and I when R is constant, not between I and R at constant V.

Step-by-Step Solution:

Verification / Alternative check:
Example: With V = 10 V, R = 1 kΩ → I = 10 mA; if R = 2 kΩ → I = 5 mA (halved), confirming inverse proportionality.

Why Other Options Are Wrong:

Common Pitfalls:
Mixing “direct” and “inverse” proportionality when switching which variable is held constant; forgetting temperature effects that can change R in real parts.

Final Answer:
inversely proportional