Question

The dimensional formula of $\frac{L}{R}$ is same as that of (where $L$ is inductance and $R$ is resistance)

• A. (frequency)${}^2$
• B. time period
• C. frequency
• D. (time period)${}^2$

Answer 1

The correct option is B time period

Self inductance is given by: $v\left(t\right)=L\frac{di}{dt}$
From this we have: $L=v\frac{dt}{di}$

$\frac{v}{di}$ has the dimensions of $R$

So, $L=Rdt$ hence $\frac{L}{R}=dt$, same units as that of time.