MIME-Version: 1.0 Content-Location: file:///C:/D9286902/Summer08.Phys1112.Quiz10.SolutionWeb.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Department of Natural Sciences

 Department of Natural Sciences

Clayton State University

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July 15, 2008=

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Physics 111= 2 – Quiz 10

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Name  ___= ___SOLUTION_______________________________

 

A serie= s L-C-R circuit contains a 2.00 mF capacitor, a 10.0 mH coil, a 130 Ohms resistor, and a generator producing a maximum voltage of 150 V at a frequency of 4000 Hz. 

 

    1. Calculate the impedance of the circuit.

&n= bsp;

XL =3D 2 p f L =3D 2 p (4000 Hz) (10.0 x 10-3 H) =3D 251 W=

 

XC =3D 1/(2 p f C) =3D 1/(2 p (4000 Hz) (2.00 x 10-6 F)) =3D 19.9 W

 

Z =3D (R2 + (X<= sub>L – XC)2)1/2  =3D 265 = W

 

 

    1. Calculate the maximum current in the circuit.

 

Imax =3D DVmax/Z =3D (150 V)/(265 W) =3D= 0.566 A

 

 

    1. Calculate the maximum voltage drop across the resistor, the capacitor, and the inductor.

 

 

DVmax, C =3D XC <= span class=3DGramE>Imax&= nbsp;

 

DVmax, C =3D (19.9 W)(0.566 A) = =3D 11.3 V

 

DVmax, R =3D R Imax 

 

DVmax, R =3D (130 W)(0.566 A) = =3D 73.6 V

 

DVmax, L =3D XL <= span class=3DGramE>Imax&= nbsp;

 

DVmax, L =3D (251 W)(0.566 A) = =3D 142 V

 

 

    1. What is the power factor of this circuit?

 

tan f =3D (XL – XC)/R =3D (251 W - 19.9 W)/ (130 W)

 

f =3D 60.6o

 

cos f =3D 0.490