HW 30 - terry (ect328) homework 30 Turner (59130) 1 This...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: terry (ect328) homework 30 Turner (59130) 1 This print-out should have 12 questions. Multiple-choice questions may continue on the next column or page find all choices before answering. 001 10.0 points Consider a series RLC circuit. The applied voltage has a maximum value of 180 V and oscillates at a frequency of 82 Hz. The circuit contains a capacitor whose capacitance can be varied, a 1000 resistor, and a 3 H inductor. Determine the value of the capacitor such that the voltage across the capacitor is out of phase with the applied voltage by 42 , with V L leading V max . Correct answer: 0 . 73069 F. Explanation: The phase relationships for the voltage drops across the elements in the circuit are shown in the figure. V R V L V C V m a x Let : = 42 , f = 82 Hz , L = 3 H , R = 1000 . From the figure, the phase angle is = 90 - = 90 - 42 = 48 , since the phasors representing I max and V R are in the same direction (in phase). The angular frequency is = 2 f = 2 (82 Hz) = 515 . 221 Hz . We know that X L = L = (515 . 221 Hz) (3 H) = 1545 . 66 and X C = 1 C . From the equation tan = X L- X C R we obtain 1 C = L + R tan , C = 1 bracketleftbigg 1 L + R tan bracketrightbigg = 1 bracketleftbigg 1 X L + R tan bracketrightbigg = 1 515 . 221 Hz 1 1545 . 66 + (1000 ) tan 48 10 6 F 1 F = . 73069 F . 002 10.0 points Consider a series RLC circuit. The applied voltage has a maximum value of 130 V and oscillates at a frequency of 80 Hz. The circuit contains an inductor whose inductance can be varied, a 1100 resistor, and a 1...
View Full Document

Page1 / 5

HW 30 - terry (ect328) homework 30 Turner (59130) 1 This...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online