Regle Yüzeyin Manyetik Merkez Normali

Öz

Bir regle yüzeyin daralma noktasındaki birim normalin yönüne, regle yüzeyin merkez normali denir ve $t$ ile gösterilir. Bu çalışmada, manyetik alan içindeki bir regle yüzeyin merkez normalinin Frenet çatısı $\left\{ T_{t}, N_{t}, B_{t}\right\}$ tarafından indüklenen Lorentz kuvvetleri ve manyetik eğrileri incelenmektedir. $T_{t}$, $N_{t}$, ve $B_{t}$ için manyetik eğrilere karşılık gelen manyetik vektör alanları belirlenmiştir. Ayrıca, bu manyetik vektör alanları tarafından manyetik merkez normali boyunca oluşturulan manyetik akı yüzeyleri kavramını tanıtılmış ve geliştirilebilirlik koşulları türetilmiştir. Son olarak, manyetik akı yüzeylerinin yapısını göstermek için örnekler sunulmuştur.

Anahtar Kelimeler

• manyetik eğri
• merkez normal
• regle yüzey

Magnetic Central Normal of a Ruled Surface

Öz

The direction of the unit normal at a striction point is called the central normal of a ruled surface and denoted by $t$. In this study, we examine the Lorentz forces and magnetic curves induced by the Frenet frame $\left\{ T_{t}, N_{t}, B_{t}\right\}$ of the central normal of a ruled surface within a magnetic field. We determine the magnetic vector fields corresponding to the magnetic curves for $T_{t}$, $N_{t}$, {and} $B_{t}$. Furthermore, we introduce the concept of magnetic flux surfaces generated by these magnetic vector fields along the magnetic central normal and derive their developability conditions. Finally, we present examples to illustrate the structure of the magnetic flux surfaces.

Anahtar Kelimeler

• magnetic curve
• central normal
• ruled surface

Kaynakça

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