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II. Refer to Figure 2. (10 marks) 1. State if the circuit below in Figure 2 is a high pass or low pass filter, and calculate a suitable capacitor value such that the circuit has a cut-off frequency of 2 kHz. 2. The circuit shown in Figure 2 is connected to an ac voltage source of 12 V and frequency 2 kHz. 3. i) Calculate the magnitude and phase, with reference to the 12 V source, of the current in the circuit, and the magnitude and phase of the voltage across each component. ii) Sketch a phasor diagram indicating the source voltage, voltage across each component, and the circuit current. For the circuit shown in Figure 2: i) Using the log-linear graph paper provided at the end of this booklet, sketch a straight-line approximation to the filter's response, i.e. gain in dB versus frequency on a logarithmic scale, and use this to sketch an appropriate curve approximating the filter's response. Use a frequency range from 1 Hz to 1 MHz. Attach the graph to your answer book. ii) State the frequency at which your straight-line approximation has the greatest error, and the value of that error. iii) Explain why the -3dB frequency is sometimes called the 'cut-off frequency'. iv) State the value of the gradient of the sloping portion of your graph. Vs R1 = 4.7k C1 + Vo Fig. 2

II. Refer to Figure 2. (10 marks) 1. State if the circuit below in Figure 2 is a high pass or low pass filter, and calculate a suitable capacitor value such that the circuit has a cut-off frequency of 2 kHz. 2. The circuit shown in Figure 2 is connected to an ac voltage source of 12 V and frequency 2 kHz. 3. i) Calculate the magnitude and phase, with reference to the 12 V source, of the current in the circuit, and the magnitude and phase of the voltage across each component. ii) Sketch a phasor diagram indicating the source voltage, voltage across each component, and the circuit current. For the circuit shown in Figure 2: i) Using the log-linear graph paper provided at the end of this booklet, sketch a straight-line approximation to the filter's response, i.e. gain in dB versus frequency on a logarithmic scale, and use this to sketch an appropriate curve approximating the filter's response. Use a frequency range from 1 Hz to 1 MHz. Attach the graph to your answer book. ii) State the frequency at which your straight-line approximation has the greatest error, and the value of that error. iii) Explain why the -3dB frequency is sometimes called the 'cut-off frequency'. iv) State the value of the gradient of the sloping portion of your graph. Vs R1 = 4.7k C1 + Vo Fig. 2

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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II. Refer to Figure 2. (10 marks) 1. State if the circuit below in Figure 2 is a high pass or low pass filter, and calculate a suitable capacitor value such that the circuit has a cut-off frequency of 2 kHz. 2. The circuit shown in Figure 2 is connected to an ac voltage source of 12 V and frequency 2 kHz. 3. i) Calculate the magnitude and phase, with reference to the 12 V source, of the current in the circuit, and the magnitude and phase of the voltage across each component. ii) Sketch a phasor diagram indicating the source voltage, voltage across each component, and the circuit current. For the circuit shown in Figure 2: i) Using the log-linear graph paper provided at the end of this booklet, sketch a straight-line approximation to the filter's response, i.e. gain in dB versus frequency on a logarithmic scale, and use this to sketch an appropriate curve approximating the filter's response. Use a frequency range from 1 Hz to 1 MHz. Attach the graph to your answer book. ii) State the frequency at which your straight-line approximation has the greatest error, and the value of that error. iii) Explain why the -3dB frequency is sometimes called the 'cut-off frequency'. iv) State the value of the gradient of the sloping portion of your graph.
Transcribed Image Text:II. Refer to Figure 2. (10 marks) 1. State if the circuit below in Figure 2 is a high pass or low pass filter, and calculate a suitable capacitor value such that the circuit has a cut-off frequency of 2 kHz. 2. The circuit shown in Figure 2 is connected to an ac voltage source of 12 V and frequency 2 kHz. 3. i) Calculate the magnitude and phase, with reference to the 12 V source, of the current in the circuit, and the magnitude and phase of the voltage across each component. ii) Sketch a phasor diagram indicating the source voltage, voltage across each component, and the circuit current. For the circuit shown in Figure 2: i) Using the log-linear graph paper provided at the end of this booklet, sketch a straight-line approximation to the filter's response, i.e. gain in dB versus frequency on a logarithmic scale, and use this to sketch an appropriate curve approximating the filter's response. Use a frequency range from 1 Hz to 1 MHz. Attach the graph to your answer book. ii) State the frequency at which your straight-line approximation has the greatest error, and the value of that error. iii) Explain why the -3dB frequency is sometimes called the 'cut-off frequency'. iv) State the value of the gradient of the sloping portion of your graph.
Vs R1 = 4.7k C1 + Vo Fig. 2
Transcribed Image Text:Vs R1 = 4.7k C1 + Vo Fig. 2
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