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A 200- resistor, 40.0-mH inductor and a 2.00-Fcapacitor are connected in series

ID: 1669189 • Letter: A

Question

A 200- resistor, 40.0-mH inductor and a 2.00-Fcapacitor are connected in series with a 120-V rms source at 1000Hz. What is the phase angle of this circuit?
A series RLC circuit has a 100-resistor, a 0.100-F capacitor, and a 2.00-mH inductorconnected across a 120-V rms ac source operating at resonantfrequency. What is the rms value of the voltage across thecapacitor? A series RLC circuit has a 100-resistor, a 0.100-F capacitor, and a 2.00-mH inductorconnected across a 120-V rms ac source operating at resonantfrequency. What is the rms value of the voltage across thecapacitor? Answer 120V 533V 54.0V 170V 150V

Explanation / Answer

we have ZL=*L=251.3 Zc=1/C=79.6 tan =(ZL-Zc)/R => =40.60 at resonance mode ZL=Zc   =>=1/LC=70711 rad/s I=U/R=1.2 A => Uc=I*Zc=169.7V=> 170 V at resonance mode ZL=Zc   =>=1/LC=70711 rad/s I=U/R=1.2 A => Uc=I*Zc=169.7V=> 170 V
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