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Q4. i) In the series circuit shown in figure 4.1. the switch is closed at position at t=0.Find the equation for the current and voltage across different elements. t = 0 1kN Vs 30V Vc(t) 10µF Figure 4.1 Tabulate the Vc for the specified time in the table given below. ii) Table 4.2 Time (t) 1T 2T 3т 4T 5T Vc

Q4. i) In the series circuit shown in figure 4.1. the switch is closed at position at t=0.Find the equation for the current and voltage across different elements. t = 0 1kN Vs 30V Vc(t) 10µF Figure 4.1 Tabulate the Vc for the specified time in the table given below. ii) Table 4.2 Time (t) 1T 2T 3т 4T 5T Vc

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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Q4. i) In the series circuit shown in figure 4.1. the switch is closed at position at t=0.Find the equation for the current and voltage across different elements. t = 0 1kN Vs 30V Vc(t) 10µF Figure 4.1 Tabulate the Vc for the specified time in the table given below. ii) Table 4.2 Time (t) 1T 2T 3т 4T 5T Vc
Transcribed Image Text:Q4. i) In the series circuit shown in figure 4.1. the switch is closed at position at t=0.Find the equation for the current and voltage across different elements. t = 0 1kN Vs 30V Vc(t) 10µF Figure 4.1 Tabulate the Vc for the specified time in the table given below. ii) Table 4.2 Time (t) 1T 2T 3т 4T 5T Vc
Expert Solution
Step 1

i

When the switch is closed the capacitor will charge and the circuit will act as an RC charging circuit. The circuit is shown below:

Electrical Engineering homework question answer, step 1, image 1

The resistor and the inductor are connected in series in the above circuit.

The expression of the voltage across the capacitor at time t is given as:

Electrical Engineering homework question answer, step 1, image 2

The voltage across the resistor at time t is given by the Kirchhoff's voltage law as shown below:

Electrical Engineering homework question answer, step 1, image 3

Plugging the value of the voltage across the capacitor in the above expression,

Electrical Engineering homework question answer, step 1, image 4

The current in the RC charging circuit is given by the expression as shown below:

Electrical Engineering homework question answer, step 1, image 5

 

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