A100 ω resistor is connected in series with a 47 µf capacitor and a source whose maximum voltage is 5 v, operating at 100.0 hz. find the following. • the capacitive reactance of the circuit • the impedance of the circuit • the maximum current in the circuit • the phase angle

Explanation:

The electrical reactance is defined as:

Where:

So, replacing the data provided by the problem:

Now, the impedance can be calculated as:

Where:

Replacing the data:

In order to find the magnitude of the impedance we can use the next equation:

We can use Ohm's law to find the current:

Therefore the current is:

And its magnitude is:

Finally the phase angle of the current is given by:

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