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Chapter 23: Problem 3

A dipole consists of two equal but opposite charges. Is the total energy stored in the dipole's electric field zero? Why or why not?

Short Answer

Expert verified
No, the total energy stored in the dipole's field is not zero because it corresponds to the work done in bringing the charges from infinity to the dipole configuration.

Step by step solution

01

Understand Electric Dipole

An electric dipole is a pair of equal and opposite charges separated by a certain distance. A key point is that the total charge of the dipole is zero, as the negative charge cancels out the positive charge.
02

Energy component in an electric field

Energy in an electric field is stored as potential energy. It's calculated based on the work done to assemble a system of charges. How potential energy is stored is a crucial part of electromagnetism.
03

Consider the total energy in the dipole's field

Energy stored in the dipole's field is essentially the work done to bring these charges from infinity to the dipole configuration. Since the charges are equal and opposite, the work done (which is converted into potential energy stored in the dipole) is not zero. So the total energy stored in the dipole's electric field is not zero.

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Most popular questions from this chapter

Which can store more energy: a 1.0 - \(\mu\) F capacitor rated at \(250 \mathrm{V}\) or a 470 -pF capacitor rated at \(3 \mathrm{kV} ?\)

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A transmission line consists of two parallel wires, of radius \(a\) and separation \(b,\) carrying uniform line charge densities \(\pm \lambda,\) respectively. With \(a \ll b\), their electric field is the superposition of the fields from two long straight lines of charge. Find the capacitance per unit length for this transmission line.
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