Ohm’s law relationship (clarified): For a fixed applied voltage, assess the statement: “Resistance is inversely proportional to current.”

Introduction / Context:
Ohm’s law relates voltage, current, and resistance in linear (ohmic) conductors. Many statements derived from Ohm’s law are correct only under specific conditions. Here the phrase “for a fixed applied voltage” is the crucial qualifier that makes the inverse proportion statement meaningful.

Given Data / Assumptions:

• Linear, ohmic behavior is assumed (R constant over the operating region).
• The applied voltage is held constant.
• Temperature effects and non-linear devices are ignored for this basic relationship check.

Concept / Approach:
Ohm’s law is V = I * R. With V fixed, I = V / R. This shows I is inversely proportional to R. Equivalently, solving for R gives R = V / I, implying R is inversely proportional to I at constant V. This inverse relationship underpins behaviors such as the decrease in current when a series resistance is increased while the supply voltage is unchanged.

Step-by-Step Solution:

Verification / Alternative check:
Example: With V = 10 V, R1 = 1 kΩ → I1 = 10 mA. If R2 = 2 kΩ, I2 = 5 mA. Doubling R halves I, confirming inverse proportionality at fixed V.

Why Other Options Are Wrong:

• Incorrect: Would contradict algebra from Ohm’s law.
• Only for non-ohmic devices / above 10 V / indeterminate: These caveats are irrelevant or misleading; the relationship is general for ohmic devices at any voltage where linearity holds.

Common Pitfalls:
Forgetting to specify the held variable; without “fixed voltage,” proportionality statements can be ambiguous. Also, some components (lamps, semiconductors) are non-ohmic—Ohm’s law may apply instantaneously but with R not constant.

Final Answer:
Correct