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Which of the following does not have the same dimensions as the Henry?

1. \( \frac{\text { joule }}{(\text { ampere })^{2}} \)
2. \( \frac{\text { tesla }-m^{2}}{(\text { ampere })^{2}} \)
3. ohm-second
4. \( \frac{1}{\text { Farad-second }} \)

Correct answer: \( \frac{1}{\text { Farad-second }} \)

Solution

A henry has dimensions of inductance: H = Wb/A = V·s/A = Ω·s = J/A². Options A, B, and C all reduce to these same dimensions. But 1/(farad·second) has dimensions opposite to inductance, so it is not equivalent to a henry.

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