Electric power Work (electrical)

p
=



∂
w


∂
t



=



∂
q
v


∂
t





{\displaystyle p={\frac {\partial w}{\partial t}}={\frac {\partial qv}{\partial t}}}

v voltage. work defined by:

δ
w
=

f

⋅

v

δ
t
,


{\displaystyle \delta w=\mathbf {f} \cdot \mathbf {v} \delta t,}

therefore

∂
w


∂
t



=


f

e



⋅


v



{\displaystyle {\frac {\partial w}{\partial t}}=\mathbf {f_{e}} \cdot \,\mathbf {v} }