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Question: The unit of inductance is equivalent to...

The unit of inductance is equivalent to

A

volt×amperesec⁡ond\frac{volt \times ampere}{\sec ond}

B

amperevolt×sec⁡ond\frac{ampere}{volt \times \sec ond}

C

voltampere×sec⁡ond\frac{volt}{ampere \times \sec ond}

D

volt×sec⁡ondampere\frac{volt \times \sec ond}{ampere}

Answer

volt×sec⁡ondampere\frac{volt \times \sec ond}{ampere}

Explanation

Solution

As ε=Ldldt,\varepsilon = L\frac{dl}{dt},

L=εdtdI⇒L=volt×sec⁡ondampereL = \varepsilon\frac{dt}{dI} \Rightarrow L = \frac{volt \times \sec ond}{ampere}