Question
A dipole with moment p = 2i + 3j - 4k is placed at A(2,
β3, 1). Find the electric potential at point B(4, β1, 0) in volts. (Use 1/(4 Ο Ξ΅0) = 9 Γ 109 Nm2/C2Solution
The electric potential V at a point due to an electric dipole with dipole moment p is given by: 
where r is the vector from the location of the dipole to the point at which the potential is being calculated, and r= β£ r β£ is the magnitude of this vector. Given the position of the dipole at A(2, β3, 1) and the point B(4, β1, 0) where the potential is to be found, the vector r is given by: r = rB β rA = (4-2)i + (-1-(-3))j+(0-1)k = 2i+2j-k The magnitude of r is: 
The dipole moment is given as p=2i+3jβ4k. Now, we calculate the dot product p β
r: p β
r=(2)(2)+(3)(2)+(β4)(β1)=4+6+4=14 The electric potential at point B is: 
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