Question

The SI unit of inductance, henry can be written as:

a) $\frac{weber}{ampere}$ b) $\frac{Volt-second}{ampere}$ c) $\frac{joule}{amper{e}^2}$ d) $Ohm-second$

• A. a & c are correct
• B. a & b are correct
• C. a, b & c are correct
• D. all are correct

Answer 1

The correct option is D all are correct

Henry $=M{L}^2{A}^{-2}{T}^{-2}$

a) $\frac{weber}{Ampere}=\frac{M{L}^2{A}^{-1}{T}^{-2}}{A}=M{L}^2{A}^{-2}{T}^{-2}$

b) $\frac{voltsec}{Ampere}=\frac{M{L}^2{A}^{-1}{T}^{-3}{T}^1}{A}=M{L}^2{A}^{-2}{T}^{-2}$

c) $\frac{Julle}{(Ampere{)}^2}=\frac{M{L}^2{T}^{-2}}{A^2}=M{A}^2{A}^{-2}{T}^{-2}$

d) $ohm-second=M{L}^2{A}^{-2}{T}^{-3}{T}^1=M{L}^2{A}^{-2}{T}^{-2}$

Hence, option D is correct.