2. Four point-charges {q,-q, q,-9} are located on the z-axis at -20 + a/2 and -zo – a/2, respectively, as indicated in the (a) What is the exact total electrostatic potential energy U of this configuration of these four charges?
2. Four point-charges {q,-q, q,-9} are located on the z-axis at -20 + a/2 and -zo – a/2, respectively, as indicated in the (a) What is the exact total electrostatic potential energy U of this configuration of these four charges?
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![2. Four point-charges {q,-q, q, -q} are located on the z-axis at positions 2o+a/2, zo-a/2,
-z0 + a/2 and -zo – a/2, respectively, as indicated in the figure.
(a) What is the exact total electrostatic potential energy
U of this configuration of these four charges?
Two Finite Dipoles
(b) For zo > a, use the expansion
1
1-r+- +... to find the leading
1+1
term of U in powers of a/zo (in addition to the 20-independent term -q/[2n€pa]).
(c) Assuming the charges +q at z = 20 + a/2 form a rigid dipole p, and the charges
+q at z = -20 +a/2 form a rigid dipole p2, are the two dipoles attracted to each
other or repelled from each other?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F85e4b871-9d1c-4ae2-b799-fb57954f3d49%2F954eed96-4244-46e8-bf00-b6f9b24b94d9%2Fz02g5za_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2. Four point-charges {q,-q, q, -q} are located on the z-axis at positions 2o+a/2, zo-a/2,
-z0 + a/2 and -zo – a/2, respectively, as indicated in the figure.
(a) What is the exact total electrostatic potential energy
U of this configuration of these four charges?
Two Finite Dipoles
(b) For zo > a, use the expansion
1
1-r+- +... to find the leading
1+1
term of U in powers of a/zo (in addition to the 20-independent term -q/[2n€pa]).
(c) Assuming the charges +q at z = 20 + a/2 form a rigid dipole p, and the charges
+q at z = -20 +a/2 form a rigid dipole p2, are the two dipoles attracted to each
other or repelled from each other?
Expert Solution
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Step 1
Given, there are four electrostatic charges q,-q, q,-q at the position respectively
a. The total electrostatic potential of the system is
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