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An LRC circuit has a resistor of 1723 ohm's and a capacitor of 0.004039 farads with an inductor of 0.516 henry's. If this circuit is connected to a 97 volt source and 874 Hz. What is the Phase Angle?

Respuesta :

gennerandrescarrillo

Answer:

The phase angle is 58.69761° or  1.02447 rad for a series RLC circuit.

The phase angle is -90° or -1.57077 rad for a parallel RLC circuit.

Explanation:

Series RLC circuit phase determination

[tex] omega =2 * pi * f  [/tex]

[tex] ∅= arctan{(2*pi*f*L-1/(2*pi*f*C)/R)} [/tex]

[tex] arctan((2*pi*874*0.516 - 1 / (2*pi*874*0.004039))/1723) = 1.0244 [/tex]

Parallel

[tex]arctan{(R (1/(2*pi*f*L) - 2*pi*f*C))}[/tex]

[tex]arctan{( 1723 (1 / (2*pi*874*0.516) - 2*pi*874*0.004039)) }=-1.5707[/tex]