This is from a sample problem from an old text book The answers are given for all 4 parts.
I've worked the problem and have shown all my work in detail in the attachment. My answers agree with the text book except for part (d). Text book gives an answer of 1.597 V but I come up with 1.377 V. I believe I'm doing something wrong or cannot find a simple arithmetic error. This is not a rounding error. Can anybody find the mistake?
Some notes and definitions from the text (Engineering Electromagnetics, Hayt, 4rth edition)
p is the dipole moment and d is the distance that separates the two equal and opposite charges of the dipole.
r is the vector from the origin to the to the field point and r¢ is the vector from the origin to the center of the dipole.
The problem, page 118 D 4.9:
A dipole at the origin in free space has a moment of 400pe0(0.6ax – 0.75ay + 0.8az) C•m. Find the potential at:
(a) PA(0, 0, 5)
(b) PB(0, 5, 0)
(c) PC(5, 0, 0)
(d) PD(2, 3, 4)
I've worked the problem and have shown all my work in detail in the attachment. My answers agree with the text book except for part (d). Text book gives an answer of 1.597 V but I come up with 1.377 V. I believe I'm doing something wrong or cannot find a simple arithmetic error. This is not a rounding error. Can anybody find the mistake?
Some notes and definitions from the text (Engineering Electromagnetics, Hayt, 4rth edition)
p is the dipole moment and d is the distance that separates the two equal and opposite charges of the dipole.
r is the vector from the origin to the to the field point and r¢ is the vector from the origin to the center of the dipole.
The problem, page 118 D 4.9:
A dipole at the origin in free space has a moment of 400pe0(0.6ax – 0.75ay + 0.8az) C•m. Find the potential at:
(a) PA(0, 0, 5)
(b) PB(0, 5, 0)
(c) PC(5, 0, 0)
(d) PD(2, 3, 4)