Using the 4-band resistor color code (1st digit, 2nd digit, multiplier, tolerance not given), what resistance value corresponds to the colors: orange, orange, orange?

Introduction / Context:Being able to decode resistor color bands is a fundamental skill for electronics assembly and troubleshooting. This problem uses the common 4-band scheme where the first two bands are significant digits and the third band is the multiplier.

Given Data / Assumptions:

• Color sequence: orange (1st), orange (2nd), orange (multiplier).
• No tolerance band is specified (often gold for 5% or silver for 10%).
• Standard digit mapping: black=0, brown=1, red=2, orange=3, yellow=4, green=5, blue=6, violet=7, gray=8, white=9.

Concept / Approach:Translate the first two bands into digits and apply the multiplier from the third band. Finally, convert to a convenient unit (ohms to kilohms) for readability and to match option formatting.

Step-by-Step Solution:1st band (orange) → 3.2nd band (orange) → 3.3rd band (orange) → multiplier 10^3.Resistance R = 33 * 10^3 ohms = 33,000 ohms = 33 kilohms.

Verification / Alternative check:Cross-check with a color code chart: orange–orange–orange = 33 with a multiplier of 10^3, confirming 33 kΩ. If a fourth band were gold, tolerance would be ±5%, but tolerance does not change the nominal value.

Why Other Options Are Wrong:

• 22 kilohms: Would correspond to red–red–orange.
• 3300 ohms: That is 3.3 kΩ, which would be orange–orange–red (10^2 multiplier).
• 44000 ohms: Would require digits 44, which is not possible in a 2-digit scheme.

Common Pitfalls:

• Misreading the multiplier band or reading the resistor from the wrong end.
• Confusing red (2) and orange (3), which are visually similar in poor lighting.

Final Answer:33 kilohms