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P6, first give ₁ and < V, equations, in terms of (and using the numerical values of R L, C, Rin) V₁ in terms of = 2V, in terms of co- Express the following Problem 6 magnitudes in millivolts, and angles in degrees (include units of measurement!) P6_a,f=5 kHz VI P6_b,f=70 kHz IKT- P6_c, f= 100 kHz V₁|- P6_d,f-1 MHz Ini (mV) 24. 21₁ 20₁ 2V₁

P6, first give ₁ and < V, equations, in terms of (and using the numerical values of R L, C, Rin) V₁ in terms of = 2V, in terms of co- Express the following Problem 6 magnitudes in millivolts, and angles in degrees (include units of measurement!) P6_a,f=5 kHz VI P6_b,f=70 kHz IKT- P6_c, f= 100 kHz V₁|- P6_d,f-1 MHz Ini (mV) 24. 21₁ 20₁ 2V₁

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
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Need help with part 6 please. 

If you can at least do p6 a/b I would appreciate it and I can see how to do the remaining parts by following the work. 

 

Thank you

1. The input voltage for the series RLC circuit shown in Figure 1 is Vs (t) = cos(@t) volts (2-volt peak-to-peak). The angular frequency is = 2nf rad/sec, and fis the frequency in Hz. The output is the voltage across the external resistor, V (t). As we have discussed in previous experiments, the signal generator has an internal resistance of Rin= 500. For this problem, just use the element names R, L, C, Rin (and not the numerical values). (a) Find the input-output frequency response, H₁(jo)= generator (b) Find the magnitude (gain), H₂(jo), and the phase shift, ZH, (jo). (c) What is the DC gain, H,(0)? (d) What is the gain at high frequencies? Rin V₂ (t) V, (t) B VE L as a function of o. R V₂(t) Figure 1: A series RLC circuit excited by a sinusoidal voltage source 2. Recall the actual p-p voltage supplied by the signal generator is the open-circuit p-p voltage as shown in Figure 1. (For the laboratory discovery, make sure the open-circuit p-p voltage is 2 volts before connecting the circuit elements (R, L, C) to build the circuit shown in Figure 1.) If we use an oscilloscope to measure the voltage across the generator, we are actually measuring the voltage, V₁(t), across the terminals AB. If V (t) = cos(ot) volts (open-circuit generator voltage), what is the phasor, V₁, of the measured voltage across the generator? 3. By inspection of the circuit, explain why the measured peak voltage across the generator (peak of V₁(t)) is close to the peak voltage of Vs (t) (which is 1V) at low (DC) and high frequencies. 4. Use the result in Q.1 to find the resonant frequency of the circuit when C= 4.7nF. L=1mH, and R= 51 ohm. 5. For Vs (t) = cos(@t) volts, find V and VR when f= 5 kHz, 70 kHz, 100 kHz and 1MHz when C= 4.7nF. L=1mH, and R= 51 ohm. 6. Also find V₁ and 2 V, when f= 5 kHz, 70 kHz, 100 kHz and 1MHz
Transcribed Image Text:1. The input voltage for the series RLC circuit shown in Figure 1 is Vs (t) = cos(@t) volts (2-volt peak-to-peak). The angular frequency is = 2nf rad/sec, and fis the frequency in Hz. The output is the voltage across the external resistor, V (t). As we have discussed in previous experiments, the signal generator has an internal resistance of Rin= 500. For this problem, just use the element names R, L, C, Rin (and not the numerical values). (a) Find the input-output frequency response, H₁(jo)= generator (b) Find the magnitude (gain), H₂(jo), and the phase shift, ZH, (jo). (c) What is the DC gain, H,(0)? (d) What is the gain at high frequencies? Rin V₂ (t) V, (t) B VE L as a function of o. R V₂(t) Figure 1: A series RLC circuit excited by a sinusoidal voltage source 2. Recall the actual p-p voltage supplied by the signal generator is the open-circuit p-p voltage as shown in Figure 1. (For the laboratory discovery, make sure the open-circuit p-p voltage is 2 volts before connecting the circuit elements (R, L, C) to build the circuit shown in Figure 1.) If we use an oscilloscope to measure the voltage across the generator, we are actually measuring the voltage, V₁(t), across the terminals AB. If V (t) = cos(ot) volts (open-circuit generator voltage), what is the phasor, V₁, of the measured voltage across the generator? 3. By inspection of the circuit, explain why the measured peak voltage across the generator (peak of V₁(t)) is close to the peak voltage of Vs (t) (which is 1V) at low (DC) and high frequencies. 4. Use the result in Q.1 to find the resonant frequency of the circuit when C= 4.7nF. L=1mH, and R= 51 ohm. 5. For Vs (t) = cos(@t) volts, find V and VR when f= 5 kHz, 70 kHz, 100 kHz and 1MHz when C= 4.7nF. L=1mH, and R= 51 ohm. 6. Also find V₁ and 2 V, when f= 5 kHz, 70 kHz, 100 kHz and 1MHz
P6, first give |V₁ and < V₁ equations, in terms of (and using the numerical values of R. L, C, Rin) V₁ in terms of o 2V, in terms of = Express the following Problem 6 magnitudes in millivolts, and angles in degrees (include units of measurement!) P6_a, f= 5 kHz IVI P6_b, f= 70 kHz INT P6_c,f= 100 kHz ||V₂| = P6_d, f= 1 MHz |v₁|= (mV) 2V₁₂ = 2V₁= 2V₁ = 2V₁ =.
Transcribed Image Text:P6, first give |V₁ and < V₁ equations, in terms of (and using the numerical values of R. L, C, Rin) V₁ in terms of o 2V, in terms of = Express the following Problem 6 magnitudes in millivolts, and angles in degrees (include units of measurement!) P6_a, f= 5 kHz IVI P6_b, f= 70 kHz INT P6_c,f= 100 kHz ||V₂| = P6_d, f= 1 MHz |v₁|= (mV) 2V₁₂ = 2V₁= 2V₁ = 2V₁ =.
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