# Electronic

# Power factor

Take 10 minutes to prepare this exercise.

Then, if you lack ideas to begin, look at the given clue and start searching for the solution.

A detailed solution is then proposed to you.

If you have more questions, feel free to ask them on the forum.

An electrical installation is fed by an effective (RMS) voltage .

It consumes power .

The frequency is and effective (RMS) intensity .

## Question

Knowing that this installation is of the inductive type, calculate the resistance and inductance which, placed in series and with the same supply, would be equivalent to the installation.

### Hint

### Solution

We can write the equations :

And :

We can deduce :

Then :

## Question

Calculate the capacitance to place in parallel to the installation to meet the power factor value .

### Hint

### Solution

Equivalent admittance is calculated, in complex notation :

Can be calculated :

Then the value of :

With , it comes :

or