Question

The force on a charge q in an electric field \[\vec E\](r) at position r is given by:

Options

• \[\vec F(r) = \frac{q}{\vec E(r)}\]

• \[\vec F(r) = q\vec E(r)\]

• \[\vec F(r) = \frac{\vec E(r)}{q}\]

• \[\vec F(r) = q^2\vec E(r)\]

Answer 1

The force on a charge in an electric field is given by \[\vec F(r) = q\vec E(r)\]. This relation directly follows from the definition of the electric field as force per unit charge, so multiplying the field by the charge gives the force.