Determine the instantaneous power absorbed by the capacitance

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SUMMARY

The discussion focuses on analyzing circuits involving capacitors and resistors, specifically determining the instantaneous power absorbed by a capacitor with given parameters: VT = 100 V, R = 5000 Ω, and C = 400 μF. Participants are tasked with calculating the instantaneous power dissipated in resistance and the voltage across the capacitor at t = 1.39 s. Additionally, the discussion includes finding an equivalent series RC circuit for a parallel configuration with a 75-Ω resistor and a 10-μF capacitor at an angular frequency of 1000 rad/s, as well as analyzing energy absorption in capacitors.

PREREQUISITES
  • Understanding of circuit analysis principles
  • Familiarity with capacitors and resistors in AC and DC circuits
  • Knowledge of Thevenin’s theorem
  • Ability to perform calculations involving angular frequency and impedance
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  • Calculate instantaneous power in capacitive circuits using the formula P = VI
  • Study Thevenin’s equivalent circuits for simplifying complex networks
  • Learn about energy storage in capacitors and the factors affecting it
  • Explore impedance matching techniques for RC circuits at specific frequencies
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Electrical engineers, circuit designers, students studying circuit theory, and anyone involved in analyzing capacitive and resistive circuits.

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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
 
Last edited:
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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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