2025年3月3日 · Fortunately, it is possible to define a quantity, called the electric field, which is independent of the test charge. It only depends on the configuration of the source charges, and once found, allows us to calculate the force on any test charge.

Lorentz force (per unit 3-volume) f on a continuous charge distribution (charge density ρ) in motion. The 3-current density J corresponds to the motion of the charge element dq in volume element dV and varies throughout the continuum.

The value of the acceleration can be found by drawing a free-body diagram (one force, F = qE) and applying Newton's second law. This says: qE = ma, so the acceleration is a = qE / m.

In the absence of an electromotive force (e.m.f) provided by a power supply or a changing magnetic field inside the conductor, free charges will flow inside conductors. This happens until the electric field caused by these charges inside the …

The electric force F exerted by the field on the positive charge is F = qE. To move the charge from plate A to plate B, an equal and opposite force (F′ = −qE) must be applied. The electric potential—that is, the work W done in moving the positive charge through a distance d—is W = F′d = −qEd. (more)

The direction of the electric field is the direction of that force on a positive charge. The actual force on a particle with charge q is given by F = qE. It points in the opposite direction of the electric field E for a negative charge.

If the electric field is known, then the electrostatic force on any charge q q is simply obtained by multiplying charge times electric field, or F = qE F = q E. Consider the electric field due to a point charge Q Q. According to Coulomb’s law, the force it exerts on a …