The energy stored in an electric device known as capacitor is given by `U=(q^(2))/(2C)`
where `U=` energy stored in capacitor
`C=` capacity of capacitor
`q=` charge on capacitor
Find the dimensions of capacity of the capacitor

Options

A. `[A^(2)M^(-1)L^(-3)T^(4)]`
B. `[AM^(-1)L^(-2)T^(4)]`
C. `[A^(2)M^(-1)L^(-2)T^(4)]`
D. `[A^(0)M^(0)L^(-2)T^(4)]`

Answer

C

Explanation

(a) `U=(q^(2))/(2C)`
:.C=(q^(2))/(2U) :.[C]=([AT]^(2))/([ML^(2)T^(-2)])=[A^(2)M^(-1)L^(-2)T^(4)]`