How Do You Calculate Charge and Current Change Rate in LC Circuits?

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SUMMARY

The discussion focuses on calculating charge and current change rates in LC circuits. The total energy in the circuit is given as 5.0 x 10^-6 J, with a capacitance of 15 microfarads, resulting in a charge of 12 microC on the capacitor. Additionally, for an LC circuit with an inductance of 15 mH and a capacitance of 10 µF, the charge on the capacitor is 25 µC, leading to a current change rate of 170 A/s. The participants seek specific formulas related to LC circuits, particularly the energy stored in capacitors and the differential equations governing their behavior.

PREREQUISITES
  • Understanding of LC circuit fundamentals
  • Knowledge of energy storage in capacitors
  • Familiarity with inductance and capacitance values
  • Ability to derive and solve differential equations for electrical circuits
NEXT STEPS
  • Research the formula for energy stored in a capacitor: E = 0.5 * C * V^2
  • Learn how to derive the differential equations for series LC circuits
  • Explore the relationship between charge, current, and time in LC circuits
  • Study the behavior of LC circuits under different initial conditions and configurations
USEFUL FOR

Electrical engineering students, circuit designers, and anyone interested in the dynamics of LC circuits and their applications in energy storage and signal processing.

dwn
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I'm having a difficult time finding any information in regards to LC circuits.

The total energy in an circuit is 5.0*10^-6 J. If C= 15 microfarads, what is the charge
on the capacitor? the ans is 12 microC

An circuit has an inductance of 15 mH and a capacitance of 10 µF. At one instant
the charge on the capacitor is 25 µC. At that instant the current is changing at what rate?

ans : 170 A/s

Again, I am unable to find the formula/information to solve these equations. Can someone please tell me what I am missing. I know the inductance equations (RLC) , but I don't see any in our book that contain just LC.

Thank you.
 
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dwn said:
I'm having a difficult time finding any information in regards to LC circuits.

The total energy in an circuit is 5.0*10^-6 J. If C= 15 microfarads, what is the charge
on the capacitor? the ans is 12 microC

What is the equation for the energy stored on a capacitor in terms of the capacitance and voltage?

dwn said:
An circuit has an inductance of 15 mH and a capacitance of 10 µF. At one instant
the charge on the capacitor is 25 µC. At that instant the current is changing at what rate?

ans : 170 A/s

Again, I am unable to find the formula/information to solve these equations. Can someone please tell me what I am missing. I know the inductance equations (RLC) , but I don't see any in our book that contain just LC.

Thank you.

Write the differential equations for a series LC circuit. Does that help you to get to the answer?
 

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