Electric Circuit Differential equation help

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Homework Help Overview

The discussion revolves around a first-order differential equation related to an electric circuit, specifically focusing on the terms 4Vc and 48 cos(60t) and their derivation from given circuit parameters.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants express confusion regarding the derivation of specific terms in the equation, questioning the values of R and C and their implications on the circuit's behavior. There is also a mention of a potential mistake in the published answer.

Discussion Status

The discussion is ongoing, with participants exploring the implications of the circuit parameters and questioning the assumptions made in the problem statement. Some guidance has been offered regarding the values of R and C, but no consensus has been reached.

Contextual Notes

Participants note the importance of ensuring that the units for R and C are correctly applied, as well as the specific values used in the example provided.

Vossi
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Homework Statement
See attached image
Relevant Equations
First Order Differential equation for electrical circuit
I'm confused at the part how 4Vc and 48 cos(60t) are deduced, that's all.
 

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Welcome to PhysicsForums. :smile:
Vossi said:
Homework Statement:: See attached image
Relevant Equations:: First Order Differential equation for electrical circuit

I'm confused at the part how 4Vc and 48 cos(60t) are deduced, that's all.

It looks like they are just giving the equation for one case of the values of R, C and the driving voltage source...

1603722082260.png
 
Vossi said:
I'm confused at the part how 4Vc and 48 cos(60t) are deduced, that's all.
I don't get it, either.
The units for R and C should be in ohms and farads, so ##RC = (2 \times 10^3)(5 \times 10^{-6}) = 10 \times 10^{-3} = 10^{-2}## ohms-farads.
It's possible there is a mistake in the published answer.
 
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Yes, clearly RC=0.25 sec for the answer given. Like 50Kohm & 5uF, for example.
 

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