Q122 / 160 · TS EAMCET 2022 (18 Jul Shift 2) · Physics

In a $RC$ circuit, where $R$ is resistance and $C$ is capacitance which of the following has the dimension of time.

A
$\frac{R}{C}$
B
$\frac{C}{R}$
C
$\sqrt{R C}$
Correct answer
D
$R C$

Solution

The current in DC ciruit containing resistance and capacitance is given by,
$i = i_{0} (1 - e^{- \frac{t}{R C}})$
As the power of $e$ should be dimensionless, the dimensions of $R C$ should be equal to that of time.

Hence, the correct answer is option: 'D'.

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In a RC circuit, where R is resistance and C is capacitance which of the following has the dimension of time.

Solution

Relevant Questions

In a $RC$ circuit, where $R$ is resistance and $C$ is capacitance which of the following has the dimension of time.