### 9.1.7. Transformed Equations

In order to reduce the number of partial differential equations and transform them into something similar to the general transport equation within the ANSYS CFX solver, a formulation based on the electric scalar potential , and the magnetic vector potential is used. The following vector identities are used:

| (9–20)

| (9–21)

| (9–22)

The electric and magnetic vector potentials are defined as:

| (9–23)

| (9–24)

Equation 9–1 and Equation 9–3 are automatically satisfied:

| (9–25)

| (9–26)

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