Use resistor color code and Ohm’s law: a resistor marked red–orange–orange–silver is connected across a 50 V source; determine the current through the resistor (choose the closest standard value).

Introduction / Context:
Reading resistor values from color bands and then applying Ohm’s law is a staple lab task. The 4-band code uses two significant digits, a multiplier, and a tolerance band. After decoding resistance, Ohm’s law gives the current for a given applied voltage.

Given Data / Assumptions:

• Color code: red, orange, orange, silver.
• Supply: 50 V DC (or RMS equivalent for a purely resistive case).
• Assume nominal resistance for current calculation.

Concept / Approach:

Decode colors: first digit, second digit, multiplier, tolerance. Compute R, then use I = V / R. Round to the nearest provided option as typical in multiple-choice problems when exact values fall between discrete choices.

Step-by-Step Solution:

Verification / Alternative check:

Even at ±10% tolerance, the nominal reading remains closest to 2.2 mA among options (range approx. 1.95–2.41 mA).

Why Other Options Are Wrong:

2 mA is less precise than 2.2 mA to the nominal calculation; 21.4 mA and 214 mA are off by an order of magnitude or more for 23 kΩ at 50 V.

Common Pitfalls:

Misreading color positions; confusing the orange multiplier with × 10^2; forgetting to convert kΩ to Ω before applying V / R.

Final Answer:

2.2 mA