Resistor value from measurements: if 24 V is applied and the measured current is 10.9 mA, compute the resistance and choose the closest standard value.

Introduction / Context:Finding resistance from voltage and current is a direct application of Ohm’s law. In troubleshooting and lab work, you often infer a component value from in-circuit measurements and then compare against standard E-series values or the nearest option provided.

Given Data / Assumptions:

• Applied voltage V = 24 V.
• Measured current I = 10.9 mA = 0.0109 A.
• Ideal resistive behavior; ignore measurement tolerances for selection.

Concept / Approach:

Use R = V / I. Convert milliampere to ampere to avoid power-of-ten mistakes. After computing, express in convenient SI multiples (kΩ if appropriate) and select the closest option.

Step-by-Step Solution:

Verification / Alternative check:

Check: I = V / R ≈ 24 / 2200 ≈ 10.9 mA, matching the stated current.

Why Other Options Are Wrong:

220 Ω would imply I ≈ 109 mA; 22 kΩ gives I ≈ 1.09 mA; 220 kΩ gives I ≈ 0.109 mA. None match 10.9 mA.

Common Pitfalls:

Forgetting to convert mA to A; misreading 2.2 kΩ as 220 Ω; rounding too early.

Final Answer:

2.2 kΩ