Is 1 Second Equal to 1 Ohm Times 1 Farad in RC Circuits?

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The discussion centers on demonstrating that the time constant in an RC circuit, represented as R x C, equates to seconds. Participants explore the dimensional analysis of Ohms and Farads, emphasizing the need to express these units in base dimensions to confirm the relationship. Ohm's Law and the relationships between charge (Q), capacitance (C), and voltage (V) are highlighted as essential tools for this analysis. There is a consensus that while using technician suggestions can help, it may feel insufficient without a thorough understanding of the underlying principles. Ultimately, the conversation underscores the importance of dimensional consistency in electrical engineering concepts.
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How can I show that the RC circuit has dimensions of time? 1 second = 1ohm x 1farad?
 
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Expand out Ohm and Farad in terms of base units and simplify.
 
time constant = R x C
 
DaleSpam said:
Expand out Ohm and Farad in terms of base units and simplify.
Ohm's Law and the well-known relation between Q,C & V will help with that.

Or use technician's suggestion, but somehow that feels like a cheat to me.
 
Redbelly98 said:
Ohm's Law and the well-known relation between Q,C & V will help with that.

Or use technician's suggestion, but somehow that feels like a cheat to me.
I agree! The time constant confirms that RC must be seconds but you do need to determine the dimensions of R and C.
You have a similar post regarding volts, webers and seconds. Faradays law gets you started but here also the quantities webers, volts etc need to be expressed as dimensions
 

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