Determine the instantaneous power absorbed by the capacitance

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The discussion focuses on calculating the instantaneous power absorbed by a capacitor in a given circuit, with parameters including a voltage of 100 V, resistance of 5000 Ω, and capacitance of 400 μF. Participants are tasked with deriving expressions for both the power absorbed by the capacitance and the power dissipated in the resistance, as well as determining the voltage across the capacitor at a specific time. Additionally, there is a query about finding an equivalent series RC circuit for a parallel configuration and calculating the maximum energy absorbed by the capacitor in another circuit. The conversation also touches on replacing a network with its Thevenin equivalent and determining inductor current for a different circuit scenario. Overall, the thread emphasizes circuit analysis and energy dynamics in capacitive and resistive components.
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1. For the circuit of Figure 1, VT = 100 V, R = 5000 Ω and C = 400 μF; switch S is closed at t = 0.
a) Determine the instantaneous power absorbed by the capacitance.
b) Obtain an expression for the instantaneous power dissipated in the resistance.
c) Determine the voltage across the capacitor at time t = 1.39 s.



A 75-Ω resistance is connected in parallel with a 10-μF capacitance. Determine an equivalent series RC circuit such that the two circuits have the same impedance at an angular frequency of 1000 rad/s.
If a voltage source is connected to the parallel RC circuit as shown in Figure 2, determine the maximum energy absorbed by the capacitor.




Figure 2
Explain the graph for energy absorbed and released from a capacitor in the circuit in Figure 2.


q3: Replace the network of Figure 3 to the left of terminals ab by its Thevenin’s equivalent



q4:
For the circuit given in Figure 4, for t > 0, determine the inductor current〖 i〗_L (t).



the figure in the attachments
 
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Welcome to PF!

Hi Nasoomah! Welcome to PF! :smile:
Nasoomah said:
the figure in the attachments

erm :redface:what attachments? :confused:
 
[QUOTE=Nasoomah;2683904]1. For the circuit of Figure 1, VT = 100 V, R = 5000 Ω and C = 400 μF; switch S is closed at t = 0.
a) Determine the instantaneous power absorbed by the capacitance.
b) Obtain an expression for the instantaneous power dissipated in the resistance.
c) Determine the voltage across the capacitor at time t = 1.39 s.



A 75-Ω resistance is connected in parallel with a 10-μF capacitance. Determine an equivalent series RC circuit such that the two circuits have the same impedance at an angular frequency of 1000 rad/s.
If a voltage source is connected to the parallel RC circuit as shown in Figure 2, determine the maximum energy absorbed by the capacitor.




Figure 2
Explain the graph for energy absorbed and released from a capacitor in the circuit in Figure 2.


q3: Replace the network of Figure 3 to the left of terminals ab by its Thevenin’s equivalent



q4:
For the circuit given in Figure 4, for t > 0, determine the inductor current〖 i〗_L (t).



the figure in the attachments[/QUOTE]
 

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