Concept explainers
(a)
The total electric potential at a large distance from the quadrupole.
(a)
Answer to Problem 34P
The total electric potential at a large distance from the quadrupole is
Explanation of Solution
Formula used:
The expression for the electric potential due to quadrupole is given as,
Here,
Calculation:
Figure (1)
The electric potential at a large distance from dipole is calculated as,
The electric potential due to quadrupole is calculated as,
Substitute the values,
Conclusion:
Therefore, the total electric potential at a large distance from the quadrupole is
(b)
The electric field for
(b)
Answer to Problem 34P
The electric field for
Explanation of Solution
Formula used:
The expression for the electric potential due to quadrupole on the
Calculation:
On
The electric field on the positive
Conclusion:
Therefore, the electric field for
(c)
The result of part (b) will be obtained by the addition of three point charges.
(c)
Answer to Problem 34P
The result of part (b) will be obtained by the addition of three point charges and the magnitude of the electric field is
Explanation of Solution
Formula used:
The expression for the net electric field on the positive
Calculation:
The net electric field on the positive
By using binomial theorem,
Substitute the binomial equation in equation (1)
Conclusion:
Therefore, the result of part (b) will be obtained by the addition of three point charges and the magnitude of the electric field is
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Chapter 23 Solutions
Physics for Scientists and Engineers
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