Finding Current and Potential Difference in a LCR Circuit

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SUMMARY

The discussion centers on calculating current and potential difference in an LCR circuit with a 12V battery, a resistor of 1.37 ohms, and an uncharged capacitor. The user expresses confusion over the appropriate equations to use due to the absence of the inductance value (L). The relevant equations mentioned include E/R for current through the resistor, and E/R multiplied by exponential decay terms for the inductor and capacitor. The user seeks guidance on finding the correct formulas for the circuit analysis.

PREREQUISITES
  • Understanding of LCR circuit components: Inductor (L), Capacitor (C), Resistor (R)
  • Familiarity with Kirchhoff's laws for circuit analysis
  • Knowledge of exponential decay functions in electrical circuits
  • Basic proficiency in solving differential equations related to circuit dynamics
NEXT STEPS
  • Research the formula for current in an LCR circuit, specifically focusing on the role of inductance (L)
  • Study the behavior of capacitors in transient circuits, particularly the charging and discharging equations
  • Learn about the time constant in LCR circuits and its impact on current and voltage over time
  • Explore simulation tools like LTspice to visualize LCR circuit behavior and validate calculations
USEFUL FOR

Electrical engineering students, circuit designers, and anyone studying transient response in LCR circuits will benefit from this discussion.

mgrphysics
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Homework Statement


There is a circuit, with the L and R in parallel and then there is a capacitor as well. There is a switch and a battery source. The E = 12 V and R is 1.37ohms. The switch is closed and the capacitor is uncharged and all currents are 0


Homework Equations


That's what I am having problems with, I though the equations for current was:
L: E/R (1-(e^-t/(L/R)))
C: E/R (e^-t/(RC))
R: V/R

But I was not given the L, so I don't really think those are the right forumlas, and I don't know where to try and look for the formulas.
 
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The Attempt at a SolutionI have tried to look for equations online, but I think I am going about it wrong. I can't seem to find the right equations.
 

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