Unit Conversion – Flux Densities

1. The problem statement, all variables and given/known data
I need to convert from a fv in units of Jy to fλ in units of erg s^-1 cm ^-2 A^-1

fv = 1.0254e-2 Jy

2. Relevant equations
fv dv = fλ dλ
fλ = fv dv/dλ
and because v = c/λ…

fλ = fv*c / λ^2

Also 1 Jy = 10^-23 erg cm^-2 s^-1 Hz ^-1
3. The attempt at a solution

fλ = [(1.0254e-2 Jy)(10^-23 erg cm^-2 s^-1 Hz ^-1) (3e10 cm/s)(1A/10^-8 cm)] / [1 A^2]

*note: A = angstrom units

my final answer was fλ = 3.0762e-7 erg s^-1 cm^-2 A^-1

But I checked my answer on an online converter and it was wrong, but I don’t know why because all my units cancelled out correctly.


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