An electric field is a region of space where a charged object experiences a force. We visualize fields using field lines: arrows that show the direction a positive test charge would be pushed. Lines emerge from positive charges and terminate on negative charges.
Where lines are dense, the field is strong; where they're sparse, it's weak.
Coulomb's law describes the force between two point charges, and from it we derive the field strength . Electric potential (voltage) is related but different: it tells you the potential energy per unit charge at a point in the field. Equipotential lines (surfaces where voltage is constant) are always perpendicular to field lines.
Understanding Electric Fields and Field Lines
A field is useful because it separates the source of an interaction from the object that feels it. Once a charge creates a field, another charge placed nearby responds to the field at its own location. This idea works even when several charges are present.
Each charge makes its own contribution, and the contributions combine as vectors. Direction matters as much as size. Two equal contributions can reinforce each other in one region or partly cancel in another.
This is called superposition. It explains why the pattern around a pair of charges is not simply two separate circular patterns drawn on the same page.
The sign of the moving charge changes the direction of its force. A positive test charge moves in the local field direction. An electron has negative charge, so its force points the opposite way.
This is important in real devices because electrons are usually the charges that move through metal wires. Voltage differences provide a way to predict energy changes without tracking every curved path. A charge moving between two locations can gain or lose electric potential energy.
For a positive charge, moving toward lower potential releases energy. For an electron, the energy change has the opposite sign because its charge is negative. Electric fields point in the direction in which potential decreases most rapidly.
Conductors behave in a special way in electrostatic situations. Their free electrons shift until the electric field inside the solid conductor becomes zero. Excess charge ends up on the outer surface.
This is why a metal object can shield its interior from outside electric effects. A Faraday cage uses this principle. The metal body of a car gives some protection during lightning because charge can travel around the outside rather than through the cabin.
Near sharp points on a conductor, surface charge crowds together. The nearby field becomes especially strong. Lightning rods use pointed shapes to control where charge leakage and possible strikes are most likely to occur.
Parallel metal plates create a useful approximate model because the central region has nearly the same field strength and direction throughout. This model appears in capacitors, which store separated charge and energy. It also appears in older display technology and in particle experiments where charged particles need a controlled push.
The uniform pattern becomes less accurate near plate edges, where the field spreads outward. These edge effects are called fringing. When reading a field diagram, pay attention to whether it is a simplified sketch or a realistic map.
Do not treat field lines as physical tracks that particles must follow. A particle’s actual path depends on its starting velocity, mass, charge, and any other forces present. The lines describe the force direction at each point, not necessarily the route of motion.
Key Facts
- Coulomb's Law: ()
- Electric field strength: (units: N/C or V/m)
- Field lines run from positive to negative charges.
- Field lines never cross each other.
- Between parallel plates, the field is uniform:
- Electric potential energy: (potential energy = charge voltage)
Vocabulary
- Electric field (E)
- Force per unit positive charge at a point in space; measured in N/C.
- Field line
- A line whose direction shows the direction of the electric force on a positive test charge.
- Coulomb's Law
- The force between two point charges is proportional to their charges and inversely proportional to the square of the distance between them.
- Electric potential (V)
- Electric potential energy per unit charge at a point, measured in volts.
- Equipotential
- A surface or line along which the electric potential is constant; always perpendicular to field lines.
Common Mistakes to Avoid
- Confusing electric field (a vector, force per charge) with electric potential (a scalar, energy per charge). They are related but not the same thing.
- Assuming field lines show the path a charge would travel. A positive charge accelerates along field lines only if released from rest; moving charges curve due to changing field directions.
- Forgetting that field strength falls off as 1/r² for a point charge - doubling distance reduces the field to one-quarter.
- Thinking work done moving along an equipotential surface is nonzero. No work is done along an equipotential because the potential doesn't change.
Practice Questions
- 1 Two charges of +2 μC and -2 μC are 0.1 m apart. Find the force between them.
- 2 What is the electric field strength 0.3 m from a +5 μC point charge?
- 3 Sketch the field line pattern for two equal positive charges placed 4 cm apart.