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Q.
If $C$ and $R$ denote capacity and resistance, the dimensions of $CR$ are
Rajasthan PMTRajasthan PMT 2007Physical World, Units and Measurements
Solution:
In a $C R$ circuit the product $C R$ is the capacitive time constant of the circuit. If $C$ is in farad, $R$ is in ohm, then time constant is in second. Hence, dimensions of $C R=\left[ M ^{0} L ^{0} T \right]$.
Capacitive time constant of $C R$ circuit is the time in which the charge on the capacitor grows from zero to $0.632$ of its maximum value.