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Q3. V₁₂ + (a) The DC voltage source of Figure 6 below has V₁ = 4V and output resistance R₁ = 1.50. It is switched into the series RC circuit of Figure 6 at t = Oms. The circuit current i(t) for t> Oms is shown in Figure 7. R₁ switch i(t) Figure 6 R ww current, / (A) IT 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.1 time,t (ms) Figure 7 (i) Use Figure 7 to estimate the values of R and C. (ii) Estimate the time at which the capacitor is 98% charged. (iii) The RC circuit is removed and the source is now switched into a 2.5mH inductor, with an internal series resistance of 0.802 (due to its coil windings). Sketch a fully labelled graph of the resulting circuit current (note: graph paper is not required).

Q3. V₁₂ + (a) The DC voltage source of Figure 6 below has V₁ = 4V and output resistance R₁ = 1.50. It is switched into the series RC circuit of Figure 6 at t = Oms. The circuit current i(t) for t> Oms is shown in Figure 7. R₁ switch i(t) Figure 6 R ww current, / (A) IT 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.1 time,t (ms) Figure 7 (i) Use Figure 7 to estimate the values of R and C. (ii) Estimate the time at which the capacitor is 98% charged. (iii) The RC circuit is removed and the source is now switched into a 2.5mH inductor, with an internal series resistance of 0.802 (due to its coil windings). Sketch a fully labelled graph of the resulting circuit current (note: graph paper is not required).

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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Q3 part a: i,ii & iii

Q3. (a) The DC voltage source of Figure 6 below has V₁ = 4V and output resistance R₁ = 1.502. It is switched into the series RC circuit of Figure 6 at t = Oms. The circuit current i(t) for t> Oms is shown in Figure 7. R₁ ww switch i(t) Figure 6 R current, / (A) 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.1 time,t (ms) Figure 7 (i) Use Figure 7 to estimate the values of R and C. (ii) Estimate the time at which the capacitor is 98% charged. (iii) The RC circuit is removed and the source is now switched into a 2.5mH inductor, with an internal series resistance of 0.892 (due to its coil windings). Sketch a fully labelled graph of the resulting circuit current (note: graph paper is not required). (b) A 12V/0°, 2kHz AC voltage source of 500 output impedance is connected to a load of impedance Z₁ = 50 -j120 2. (i) Write the load and total impedances as phasors and use the voltage divider rule to calculate load voltage VL and load current il. (ii) Sketch the load voltage and load current on a fully-labelled phasor diagram, together with the source voltage 12V 20⁰. (iii) Maximum power can be delivered to the load by adding a single component in series with the load. Identify this component, calculate its value and calculate the resulting (maximum) rms dissipated load power.
Transcribed Image Text:Q3. (a) The DC voltage source of Figure 6 below has V₁ = 4V and output resistance R₁ = 1.502. It is switched into the series RC circuit of Figure 6 at t = Oms. The circuit current i(t) for t> Oms is shown in Figure 7. R₁ ww switch i(t) Figure 6 R current, / (A) 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.1 time,t (ms) Figure 7 (i) Use Figure 7 to estimate the values of R and C. (ii) Estimate the time at which the capacitor is 98% charged. (iii) The RC circuit is removed and the source is now switched into a 2.5mH inductor, with an internal series resistance of 0.892 (due to its coil windings). Sketch a fully labelled graph of the resulting circuit current (note: graph paper is not required). (b) A 12V/0°, 2kHz AC voltage source of 500 output impedance is connected to a load of impedance Z₁ = 50 -j120 2. (i) Write the load and total impedances as phasors and use the voltage divider rule to calculate load voltage VL and load current il. (ii) Sketch the load voltage and load current on a fully-labelled phasor diagram, together with the source voltage 12V 20⁰. (iii) Maximum power can be delivered to the load by adding a single component in series with the load. Identify this component, calculate its value and calculate the resulting (maximum) rms dissipated load power.
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