If R , L and C represent resistance, inductance and capacitance respectively, then which of the following expressions does NOT have the dimensional formula of time?

Step-by-step solution

The time constant of an RC circuit is given by = RC , so the dimensional formula of RC is [ T ] . The time constant of an LR circuit is given by = L R , so the dimensional formula of L R is [ T ] . The resonant angular frequency of an LC circuit is = 1 LC . Since angular frequency has the dimensional formula [ T ⁻¹] , the term LC has the dimensional formula [ T ] . The expression R L is the reciprocal of the time constant L R , so its dimensional formula is [ T ⁻¹] , which represents frequency and not time. Answer: