BeginnerTopic 19 of 106Electrical Engineering

Electric fields and Coulomb's law

Force between charges is kq1q2/r².

In depth

Coulomb's law F=kq₁q₂/r² with k=8.99×10⁹ N·m²/C². The electric field E=F/q; potential V=kq/r. Field lines start on positive charge. Gauss's law ∮E·dA=Q/ε₀ simplifies symmetrical cases.

Key points

  • Inverse-square law
  • Superposition of fields
  • Field inside a conductor is zero
Example

Two 1 µC charges 10 cm apart repel with 0.9 N.

Why it matters

Coulomb's law gives the force between charges and underlies the electric field used in capacitors, sensors and electrostatic devices.

Where this is used

  • Estimating the force between two charged spheres in a test rig.
  • Designing an electrostatic precipitator with a strong field.
  • Modelling the field around a charged conductor in a sensor.

Frequently asked questions

What is Electric fields and Coulomb's law?

Force between charges is kq1q2/r².

Why is it important to understand electric fields and Coulomb's law?

Coulomb's law gives the force between charges and underlies the electric field used in capacitors, sensors and electrostatic devices.

Why does the force fall off with distance squared?

The field spreads over a sphere whose area grows with the square of the radius, so the field strength falls off in the same way.

What is the permittivity used for?

It describes how strongly a material responds to an electric field, and it appears in the force constant and in capacitance.

How is Electric fields and Coulomb's law used in practice?

Typical applications include estimating the force between two charged spheres in a test rig, designing an electrostatic precipitator with a strong field and modelling the field around a charged conductor in a sensor.

What should I learn before Electric fields and Coulomb's law?

Study "Series and parallel capacitors and inductors" first (topic 18 of 106 in Electrical Engineering). It covers the groundwork this topic builds on.

What are the key points of Electric fields and Coulomb's law?

Inverse-square law. Superposition of fields. Field inside a conductor is zero.

Can you give an example of Electric fields and Coulomb's law?

Two 1 µC charges 10 cm apart repel with 0.9 N.

What comes after Electric fields and Coulomb's law?

The next topic is "Magnetic fields", which builds directly on this one.

How difficult is Electric fields and Coulomb's law?

It is classed as Beginner in Electrical Engineering (topic 19 of 106). It is an entry-level topic. It relies only on basic school mathematics and the ideas introduced earlier in this discipline.

Learning path

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