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: Using the formula, the maximum distance is ≈ 18.7 m.

The sphere’s radius is not arbitrary. It is derived from the formula, which relates to the peak lightning current. The most common standard (IEC 62305 and NFPA 780) defines protection levels (I to IV) with corresponding sphere radii:

A smaller sphere (Level I) is more "touchy" and will probe into every crevice, providing the highest level of protection. A larger sphere (Level IV) offers less stringent protection, suitable for ordinary structures. The Core Equation To determine if a point at height ( H ) is protected by a lightning mast of height ( h ) (with ( h > H )), the horizontal distance ( d ) from the mast to the point must satisfy:

Introduction

| Protection Level | Peak Current (kA) | Rolling Sphere Radius (r) | | :--- | :--- | :--- | | Level I (Highest) | 3 kA | 20 m (66 ft) | | Level II | 5 kA | 30 m (98 ft) | | Level III | 10 kA | 45 m (148 ft) | | Level IV (Lowest) | 16 kA | 60 m (197 ft) |