Answer to Question #335299 in Electric Circuits for hoshi

Question

Show by dimensional analysis that the product of resistance and capacitance has the dimension of time.

Answer 1

$$[\Omega]=\rm[\frac{kg\cdot m^2}{s^3\cdot A^2}]$$ $$[F]=\rm[\frac{s^4\cdot A^2}{kg\cdot m^2}]$$ $$[RC]=[\Omega F]=\rm[\frac{kg\cdot m^2}{s^3\cdot A^2}*\frac{s^4\cdot A^2}{kg\cdot m^2}]=[s]$$