01 · Which way does force point?

How does charge sign affect field and force direction?

Will a negative test charge accelerate with or against the field?

  1. Place one positive source and inspect field arrows.
  2. Reverse its sign and release a test particle.
  3. Change the test charge and compare acceleration.

Measurement

E_x and E_y in N/C; F=qE in N.

Field direction is defined using a positive test charge. A negative test charge feels the opposite force. The field itself depends on the sources, not the test charge.

Q is source charge, q test charge in C; r in m. 1 nC=10⁻⁹ C.

E = kQ r/|r|³; F = qE; k ≈ 8.988×10⁹ N m²/C²

Worked example 1

For Q=1 nC at r=1 m, E=8.99 N/C outward.

Worked example 2

In that field q=−2 nC gives F=−17.98 nN, toward the source. These unsoftened calculations apply away from the core.

What happens to field strength when distance triples?

Assumptions

Static sources and Coulomb superposition. A softened core regularises singularities. Field lines are visual constructions whose density depends on seeding. This is not a time-dependent Maxwell solver.

University Physics Volume 2, 5.4 Electric Field