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:

initial speed when it is dropped is 150 ft/s

now at the same moment the acceleration due to gravity is perpendicular to its velocity

so as we know that

now we have centripetal acceleration a = 32 ft/s^2 as its perpendicular to velocity

while tangential acceleration at the same moment will be zero

so

now radius of curvature is given as

so the radius of curvature just after it is dropped is 703.125 ft