1. a) A parallel RLC circuit is shown in figure Q1a. A DC current source is connected to t input terminals A and B. i) State which component (capacitor, inductor, resistor) has the highest current. Expla your answer. Assume that the circuit has reached a steady state. Your answer must be less than 50 words. The DC current source is removed and replaced with an AC voltage source. The source set to 50 kHz and 12 Vrms (Root Mean Square). ii) Determine the current amplitude in the resistor. iii) Determine the reactance of the inductor. iv) The frequency is changed to 1 MHz. Determine the RMS (Root Mean Squar current in the capacitor. Α Ο во 1.5 ΚΩ R 55 μΗ C 1.4 nF

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1. a) A parallel RLC circuit is shown in figure Qla. A DC current source is connected to the
input terminals A and B.
i)
State which component (capacitor, inductor, resistor) has the highest current. Explain
your answer. Assume that the circuit has reached a steady state.
Your answer must be less than 50 words.
The DC current source is removed and replaced with an AC voltage source. The source is
set to 50 kHz and 12 Vrms (Root Mean Square).
ii) Determine the current amplitude in the resistor.
iii) Determine the reactance of the inductor.
iv)
The frequency is changed to 1 MHz. Determine the RMS (Root Mean Square)
current in the capacitor.
Α Ο
во-
1.5 ΚΩ
R
55 pH
Figure Q1a
C
1.4 nF
Transcribed Image Text:1. a) A parallel RLC circuit is shown in figure Qla. A DC current source is connected to the input terminals A and B. i) State which component (capacitor, inductor, resistor) has the highest current. Explain your answer. Assume that the circuit has reached a steady state. Your answer must be less than 50 words. The DC current source is removed and replaced with an AC voltage source. The source is set to 50 kHz and 12 Vrms (Root Mean Square). ii) Determine the current amplitude in the resistor. iii) Determine the reactance of the inductor. iv) The frequency is changed to 1 MHz. Determine the RMS (Root Mean Square) current in the capacitor. Α Ο во- 1.5 ΚΩ R 55 pH Figure Q1a C 1.4 nF
b)
The DC power supply to a heating element in an immersion heater system has
malfunctioned. You decide to design a diode regulator using an existing unregulated AC
supply as shown in figure Q1b. The unregulated AC supply can be set to any voltage
required. The faulty DC power supply is rated at 110 V and the element has a resistance
of 25 Q.
c)
Using the information provided determine the supply peak voltage required and the
capacitance needed for a ripple voltage of 10% of the supply voltage, Vs.
Vs
60 Hz
2 A
C
4Ω
+
Using the superposition principle determine the current through the 8 2 resistor in the
circuit shown in figure Q1c.
892
FigurQ1b
192
6Ω
Figure Q1c
592
Heating element
+
20 V
Transcribed Image Text:b) The DC power supply to a heating element in an immersion heater system has malfunctioned. You decide to design a diode regulator using an existing unregulated AC supply as shown in figure Q1b. The unregulated AC supply can be set to any voltage required. The faulty DC power supply is rated at 110 V and the element has a resistance of 25 Q. c) Using the information provided determine the supply peak voltage required and the capacitance needed for a ripple voltage of 10% of the supply voltage, Vs. Vs 60 Hz 2 A C 4Ω + Using the superposition principle determine the current through the 8 2 resistor in the circuit shown in figure Q1c. 892 FigurQ1b 192 6Ω Figure Q1c 592 Heating element + 20 V
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