The work done in moving a charge in an electric field is given by the equation:
=
⋅
Δ
W=q⋅ΔV
Where:
W is the work done on the charge (measured in joules)
q is the magnitude of the charge (measured in coulombs)
Δ
ΔV is the change in electric potential (voltage) across which the charge is moved (measured in volts)
In simpler terms, this equation tells us that when a charge is moved within an electric field and experiences a change in electric potential, work is done on the charge. This work can be used to increase the charge's kinetic energy or potential energy, depending on the context of the situation.
It's important to note that if the charge's motion is parallel to the electric field lines, the work done is given by the equation above. However, if the motion is not parallel, you would need to consider the component of the motion that's parallel to the field lines to calculate the work accurately.