Question

Find the dimensional formulae of
a the charge Q.
the potential V,
c. the capacitance C and
d the resistance R.
Some of the equations containing these quantities are `
`Q=It, U=VIt, Q=CV and V=RI,`
where I denotes the electric current, t is time and U is energy.

Answer 1

a. `Q=It, Hence [Q]=IT`
b. U=VIt`
or, `ML^2T^-2=[V]IT` or, `[V]=ML^2I^-1T^-5`
c. ` Q=CV`
or, `IG=[C]ML^2I^-1T^-2 or , [C]=M^-1L^-2I^2T^4`
or, `R=V/I , or [R]= (ML^2I^-1T^-2)/I= ML^2I^-2T^(-3)`