To determine the dimensions of the product CR, we examine the dimensional formulae of capacitance (C) and resistance (R) as provided in the sources:
- Capacitance (C): According to the dimensional tables, capacitance is defined as charge divided by potential difference (Q/V), with the dimensional formula [M−1L−2T4A2] .
- Resistance (R): Resistance is defined by Ohm's law as potential difference divided by current (V/I), with the dimensional formula [ML2T−3A−2] .
By multiplying these two formulae:
[CR]=[M−1L−2T4A2]×[ML2T−3A−2]=[M0L0T1A0]=[T].
The resulting dimension [T] represents the physical quantity of time or time period . In electronics, CR is known as the capacitive time constant.