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

[Zifles]

How can I show that the RC circuit has dimensions of time? 1 second = 1ohm x 1farad?

 

[Dale]

Expand out Ohm and Farad in terms of base units and simplify.

 

[technician]

time constant = R x C

 

[Redbelly98]

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.

 

[technician]

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