Show that RC has units of seconds if R is in ? and C is in...

Show that RC has units of seconds if R is in ? and C is in F

Expert Solution

Consider the equation for a capacitor: q = CV or C = q/V

The standard unitsare Farad = Coulomb /Volt

And consider ohms law: V = IR or R = V/I

Standard unitsare: ohm = Volt / Amp

Now... if we multiply together RC we get units of ohm *Farad which are

(Volt / Amp) * (Coulomb /Volt) we can cancel"Volt" and we have

Coulomb /Amp But an Amp is a coulomb / second so

Coulomb / (Coulomb / sec) is sec DONE!

genius_generous answered 5 months ago

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