Ohm’s law calculation — a resistor has 12 V across it and carries 500 µA of current. Compute the resistance value and choose the correct option.

Introduction / Context:Direct application of Ohm’s law V = I * R allows quick back-calculation of a resistor value from measured voltage and current. Careful attention to micro- units prevents decimal mistakes that are common in troubleshooting and exams.

Given Data / Assumptions:

• Voltage across the resistor, V = 12 V.
• Current through the resistor, I = 500 µA = 500 × 10^−6 A = 0.0005 A.
• Ohmic behavior (constant R).

Concept / Approach:Rearrange Ohm’s law to R = V / I. Convert microamperes to amperes before dividing to avoid a 10^6 error. Finally, express the answer in a convenient SI multiple (kΩ) for readability.

Step-by-Step Solution:

Verification / Alternative check:Cross-check using I = V / R with R = 24 kΩ: I = 12 / 24,000 = 0.0005 A = 500 µA, confirming consistency.

Why Other Options Are Wrong:

• 600 Ω, 2.4 kΩ, 6 kΩ, 60 kΩ: Each corresponds to using an incorrect unit conversion or arithmetic slip when dividing 12 by 0.0005.

Common Pitfalls:Forgetting that 1 µA = 10^−6 A; mixing up milli and micro; failing to convert before dividing.

Final Answer:24 kΩ