Question

If C represents capacitance and R represents resistance, then the unit of `CR^2` are

Answer 1

It is known that time constant of RC circuit is `pi = RC` and time constant of LR circuit is `pi = L//R`
`:. RC = (L)/(R ) or CR^2 = L`
Hence, the units of `CR^2` are those of inductace (L) viz. henry
`From e =L(dl)/(dt), L = e(dt)/(dl)`
`:. "units of L are also" = ("volt" -sec)/("ampere") = ohm - sec`.
Again, from `E= (1)/(2) LI^2, L=(2E)/(I^2)`
Therefore, units of L are also `"joule"/"ampere"^2`