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  4. The dimensions of resistance × capacitance are same as that of

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Q. The dimensions of resistance × capacitance are same as that of

Physical World, Units and Measurements

Solution:

Resistance $= \frac{voltage}{current}$ and
Capacitance $= \frac{charge}{voltage}$
$\therefore \quad$ Resistance × capacitance
$= \frac{voltage}{current}\times \frac{charge}{voltage} = \frac{charge}{current}$
$= \frac{current\times time \,period}{current}$ $ =$ time period