Why do we consider ‘I’ as conjugate? What is its necessity?please elaborate in brief

# About complex power

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When you multiply two complex quantities in polar form, their magnitude gets multiplied but the angles are added.

If you don’t consider conjugate see what happens,

```
S = V∠θv I∠θi
```

Where, V and I are in polar forms.

```
S = VI∠(θv+θi)
```

If you convert polar form into rectangular form

```
S = VI Cos(θv+θi) + i VI Sin(θv+θi)
S = P + iQ
```

P = VI Cos(θv+θi) which is not what we wanted and it is not equal to the one we’ve learned earlier.

To way around this we use conjugate operation in S = VI* to make (θv-θi).

Thank you for your explanation