Question

Which of the following units denotes the dimensions $[ML^2/Q^2]$ , where Q denotes the electric charge?

• A. $Wb/m^2$
• B. henry (H).
• C. $H/m^2$
• D. weber (Wb)

Answer 1

Answer: (B)

henry (H).

Answer 2

Weber $= ML ^{2} T ^{-2} I ^{-1}$ $= ML ^{2} T ^{-2} Q ^{-1} T$ $= ML ^{2} T ^{-1} Q ^{-1}$ $\left( I = QT ^{-1}\right)$ Henry $H$ is SI unit of inductance. $H = ML ^{2} T ^{-2} I ^{-2}$ also $I = QT ^{-1}$ so $H = ML ^{2} T ^{-2} Q ^{-2} T ^{2}$ $= ML ^{2} Q ^{-2}$