Question

Which set gives equivalent units for one henry?

Options

• \[1\,\mathrm{H}=1\,\mathrm{Wb^{-1}\,A}=1\,\mathrm{V\,s\,A^{-1}}=1\,\mathrm{\Omega}\]

• \[1\,\mathrm{H}=1\,\mathrm{Wb\,A^{-1}}=1\,\mathrm{V\,s\,A^{-1}}=1\,\mathrm{\Omega\,s}\]

• \[1\,\mathrm{H}=1\,\mathrm{Wb\,A}=1\,\mathrm{V\,s\,A}=1\,\mathrm{\Omega\,s}\]

• \[1\,\mathrm{H}=1\,\mathrm{Wb\,A^{-1}}=1\,\mathrm{V\,s^{-1}\,A^{-1}}=1\,\mathrm{\Omega\,s^{-1}}\]

Answer 1

Flux linkage divided by current gives \[\mathrm{Wb\,A^{-1}}\], while EMF divided by current-change rate gives \[\mathrm{V\,s\,A^{-1}}\]. Because a volt per ampere is an ohm, this also equals \[\mathrm{\Omega\,s}\].