Finding Current and Potential Difference in a LCR Circuit

[mgrphysics]

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.

 

[Nate810]

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.

 

[kerimek]

As a scientist, it is important to understand and apply the correct equations and principles when analyzing a circuit. In this case, the circuit is a LCR (inductor-capacitor-resistor) circuit with a battery source and a switch. The goal is to find the current and potential difference in the circuit.

Firstly, it is important to note that the values given are not sufficient to accurately solve for the current and potential difference. In order to do so, we would need to know the values of the inductor (L) and the capacitor (C). Without these values, it is not possible to use the equations you have provided.

The correct equations for current and potential difference in a LCR circuit are as follows:

Current (I) = V/R (1-e^(-t/RC))
Potential difference (V) = E - IR
where:
V = battery voltage
R = resistance
C = capacitance
t = time

It is also important to note that in this circuit, the switch is closed and the capacitor is uncharged, so the initial conditions for the equations would be V=0 and I=0.

To find the values of L and C, we would need to either be given those values or measure them using appropriate equipment. Once we have those values, we can solve for the current and potential difference at different time intervals.

In conclusion, in order to accurately find the current and potential difference in a LCR circuit, we need to have all the necessary values and use the correct equations. It is also important to understand the initial conditions and the role of each component in the circuit.