Electric Field of an electric dipole on axial and equatorial points – formulas

Last updated on June 16th, 2023 at 09:57 pm

इस पोस्ट में, हम अक्षीय और विषुवतीय बिंदुओं पर विद्युत द्विध्रुव के कारण विद्युत क्षेत्र की तीव्रता की गणना करने के लिए आवश्यक सूत्रों की सूची और चर्चा करेंगे। हम इन सूत्रों के सदिश रूप भी खोजेंगे।

एक अक्षीय बिंदु को एंड-ऑन स्थिति के रूप में भी जाना जाता है। विषुवतीय बिंदु द्विध्रुव के लंबवत द्विभाजक पर है, और इस बिंदु को ब्रॉड-साइड-ऑन स्थिति के रूप में भी जाना जाता है।

In this post, we will list and discuss the formulas required to calculate the electric field intensity due to an electric dipole on axial and equatorial points. We will also find the vector forms of these formulas.

An axial point is also known as the end-on position. The equatorial point is on the perpendicular bisector of the dipole, and this point is also known as the broad-side-on position.

Formulas of Electric field due to an electric dipole on axial point

अक्षीय बिंदु पर विद्युत द्विध्रुव के कारण विद्युत क्षेत्र की तीव्रता = E_axial

Electric field due to an electric dipole on the axial point:
E_axial = (1/4πε₀) 2p/r³
Its direction is along the direction of the dipole moment p (this means from negative charge to positive charge). Note that: p = q 2l = dipole moment.

q is the amount of charge on each end of the dipole (one end with +q and the other end has -q). 2l is the distance between the +q and the -q charge of the electric dipole. r is the distance between the point where the electric field is being calculated and the midpoint of the dipole.

Formulas of Electric field due to an electric dipole on equatorial point

विषुवतीय बिंदु पर विद्युत द्विध्रुव के कारण विद्युत क्षेत्र की तीव्रता = E_equatorial

Electric field due to an electric dipole on the equatorial point:
E_equatorial = (1/4πε₀) p/r³
Its direction is along the opposite direction of the dipole moment p

In the above equations, p = q 2l = dipole moment.

q is the amount of charge on each end of the dipole (one end with +q and the other end has -q). 2l is the distance between the +q and the -q charge of the electric dipole. r is the distance between the point where the electric field is being calculated and the midpoint of the dipole.

Vector forms of the electric field formulas on axial and equatorial points due to an electric dipole

E_axial = (1/4πε₀) 2p/r³

E_equatorial = (1/4πε₀) p/r³