Question

The geometric mean radius of a conductor, having four equal strands with each strand of radius ‘r’, as shown in the figure below, is

• A. 4r
• B. 1.414r
• C. 2r
• D. 1.723r

Hint:

The geometric mean radius for conductors arranged in a square pattern is 1.723 times the radius of an individual strand.

Answer 1

The Correct Option is D

Step 1: Understanding the Geometric Mean Radius.
The geometric mean radius (GMR) is a concept used to calculate the inductance of a conductor. For conductors arranged in a specific pattern, such as the four strands in a triangular configuration, the GMR is calculated by taking the geometric mean of the distances between the strands. Step 2: Calculation of GMR.
For four strands arranged in a square pattern with each strand having a radius \( r \), the formula for GMR is based on the geometric mean of the distances between the strands. In this case, the GMR is given by \( GMR = 1.723r \), where \( r \) is the radius of each strand. Step 3: Conclusion.
The correct answer is (D) 1.723r, as this is the correct value for the GMR in this configuration.