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Understanding Series RLC Circuits: Quiz Problems and Solutions

Prepare for your next quiz with a detailed review of series RLC circuits. This problem set includes examples of circuits with specified resistance, capacitance, and inductance, analyzed through different parameters such as impedance, current, phase angle, and voltage drops across components. Each problem is crafted to enhance your understanding and application of key concepts covered in class. Review notes, study Section 24.5, and tackle assigned problems to refine your knowledge and skills in AC circuit analysis.

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Understanding Series RLC Circuits: Quiz Problems and Solutions

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  1. Quiz# 3 As mentioned Wednesday, Oct. 15 as we worked out in detail a simple AC series RLC circuit: "This is EXACTLY the kind of problem you’ll find on your NEXT quiz!" Here is that in-class problem reprised plus, a second example. You should review your notes from that day’s class, as well as Section 24.5 and the associated assigned problems: Ch.24: P 47, 49, 51

  2. A series RLC circuit has a resistance of 25.0, a capacitance of 50.0mF, and an inductance of 0.300 H. If driven by a 120v, 60Hz source, find: (a) the impedance of the circuit. (b) the current in the circuit. (c) the phase angle between current and voltage. (d) the rms voltage drop across each component. (e) the power dissipated in the circuit. XL=113.1  XC= 53.1  Z = 65  1.85 A +76.3o VR=46.25v VL=209v VC=98.24v 85.67 Watts (f) What fwould make this circuit completely resistive? (g) What would the power dissipated in the resistor be then? 41 Hz 576 Watts

  3. A series RLC circuit has a resistance of 250 , a capacitance of 3.50 mF, and an inductance of 0.600 H. If driven by a 150v, 60Hz source, find: (a) the impedance of the circuit. (b) the current in the circuit. (c) the phase angle between current and voltage. (d) the rms voltage drop across each component. (e) the power dissipated in the circuit. XL=226.2  XC=757.9  Z = 587.5  0.255 A -64.8o VR=63.8v VL=57.6v VC=193v 16.28 Watts (f) What fwould make this circuit completely resistive? (g) What would the power dissipated in the resistor be then? 109.8 Hz 90 Watts

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