Determine the electric dipole moment of the system of three charges, placed on the vertices of an equilateral triangle, as shown in the figure:

Question

Determine the electric dipole moment of the system of three charges, placed on the vertices of an equilateral triangle, as shown in the figure: (A) (ql )( hati + hatj/√2) (B) √3ql( hatj - hatI/√2) (C) -√3ql hatj (D) 2ql hatj

Tardigrade Admin · Accepted Answer

|P1| =q(d) |P2| =qd | textResultant| = 2P cos30° 2qd ((√3/2)) =√3 qd

Q. Determine the electric dipole moment of the system of three charges, placed on the vertices of an equilateral triangle, as shown in the figure:

$(ql) \frac{i ^ + j ^}{2}$

$3 ql \frac{j ^ - I ^}{2}$

$- 3 ql \hat{j}$

$2 ql \hat{j}$

$∣ P_{1} ∣ = q (d)$
$∣ P_{2} ∣ = q d$
$∣ Resultant ∣ = 2 P cos 3 0^{\circ}$
$2 q d (\frac{3}{2}) = 3 q d$

Q. Determine the electric dipole moment of the system of three charges, placed on the vertices of an equilateral triangle, as shown in the figure:

(ql)2​i^+j^​​

3​ql2​j^​−I^​

−3​qlj^​

2qlj^​

∣P1​∣=q(d) ∣P2​∣=qd ∣Resultant∣=2Pcos30∘ 2qd(23​​)=3​qd

$(ql) \frac{i ^ + j ^}{2}$

$3 ql \frac{j ^ - I ^}{2}$

$- 3 ql \hat{j}$

$2 ql \hat{j}$

$∣ P_{1} ∣ = q (d)$
$∣ P_{2} ∣ = q d$
$∣ Resultant ∣ = 2 P cos 3 0^{\circ}$
$2 q d (\frac{3}{2}) = 3 q d$