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
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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:
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:
The voltage across the resistor at time t is given by the Kirchhoff's voltage law as shown below:
Plugging the value of the voltage across the capacitor in the above expression,
The current in the RC charging circuit is given by the expression as shown below:
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