Question

I have confusion: 1 debye = `10^ -18` esu cm = `3.335 xx 10^30` C-m ( coulomb meter), How it is? please prove. Thanks.

Answer 1

Dipole Moment (`mu`) between two charges separated by distance `d` is

`mu= q × d`

Historically the debye was defined as the dipole moment resulting from two charges of opposite sign but an equal magnitude of `10^-10`statcoulomb (generally called e.s.u. (electrostatic unit) in older literature), which were separated by 1 ångström (`= 10^-8 "cm"`)

`"1 Debye = "10^-10"esu × "10^-8"cm"`

`= ""10^-18" esu cm"`

`= 10^-18 cancel"esu" cancel"cm" × (3.335 × 10^-10 "C")/cancel"esu" × (10^-2 "m")/cancel"cm"`

`= 3.335 × 10^-30 color(white)(.) "Cm"`

Answer 2

See the answer below...

Explanation:

Given that:-

`1` debye =`10^-18` esu-cm `=1` esu `xx` `1` cm `xx10^-18`
`color(white)(mmmmmmmmmmmm` `=1/(3xx10^9)xx1/100xx10^-18`
`color(white)(mmmmmmmmmmmm` `=3.333xx10^-30` col-m

Hope it helps...
Thank you...

You answer is a bit wrong ...it will be inverse power...