We defined the scalar electric potential field V(r) as the electric potential difference at r relative to a datum at infinity. In this section, we address the “inverse problem” – namely, how to ca...We defined the scalar electric potential field V(r) as the electric potential difference at r relative to a datum at infinity. In this section, we address the “inverse problem” – namely, how to calculate E(r) given V(r) . Specifically, we are interested in a direct “point-wise” mathematical transform from one to the other.
We defined the scalar electric potential field V(r) as the electric potential difference at r relative to a datum at infinity. In this section, we address the “inverse problem” – namely, how to ca...We defined the scalar electric potential field V(r) as the electric potential difference at r relative to a datum at infinity. In this section, we address the “inverse problem” – namely, how to calculate E(r) given V(r) . Specifically, we are interested in a direct “point-wise” mathematical transform from one to the other.