AExE01 · Chapter 1Basic Electrical & Electronics🏛️ Past Licensure QuestionID: 9321a5db
Two wires of the same length and material have cross-sectional areas in the ratio 2:1. What is the ratio of their electrical resistances?
Two wires of the same length and material have cross-sectional areas in the ratio 2:1. What is the ratio of their electrical resistances?
Multiple Choice Options
- A✓ Correct Option
1:2
- B
1:4
- C
4:1
- D
2:1
Detailed Technical Solution & Explanation
Resistance is inversely proportional to cross-sectional area: . If the cross-sectional areas of two wires of equal length and material are in the ratio , their resistances are in the inverse ratio .
Option Analysis:
•
Option A (Correct. Inverse proportionality between resistance and area yields .
•
Option B (1:4): Incorrect. Represents a quadratic radius variation, not direct area ratio.
•
Option C (4:1): Incorrect.
•
Option D (2:1): Incorrect. Direct ratio, failing to account for inverse dependency.
Reference: Demo2 · Set 2NEC Licensure Syllabus