Question

A quantity is given by E *L* (V/T). where E is the permitivity of free space,L is the length, V is the potential difference ant T is a time interval.The dimensional formula for X is same as that of ?

Answer 1

We know that for a parallel plate capacitor, its capacitance is given as
\[C=\frac{\epsilon_o A}{D}\]
Here We have
\[\epsilon_o \times L\times \frac{V}{T}\]
Let's multiply and divide this by L
\[\epsilon_o \times \frac{L^2}{L} \times \frac{V}{T}\]
\[\underline{\epsilon_o \times \frac{L^2}{L}} \times \frac{V}{T}\]
This underlined term has units of capacitance
So, we can write this as C,
\[C\times \frac V T\]
We knowcharge
Q=CV
so
this in most simplified terms is
\[\frac{Q}{T}\]

@JOYAL What do you think is this?