From Eq. (30.5) 1 H = 1 Wb>A, and from Eqs. (30.4) 1 H = 1

Chapter 30, Problem Q30.2

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QUESTION:

From Eq. (30.5) 1 H = 1 Wb/A, and from Eqs. (30.4) \(1\mathrm{\ H}=1\ \Omega\cdot\mathrm{s}\). Show that these two definitions are equivalent.

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QUESTION:

From Eq. (30.5) 1 H = 1 Wb/A, and from Eqs. (30.4) \(1\mathrm{\ H}=1\ \Omega\cdot\mathrm{s}\). Show that these two definitions are equivalent.

ANSWER:

Step 1 of 4

When the current changes in one circuit results in the change in the emf of another circuit is known as the mutual induction. The expression for the mutual induction is given as

\(M=\frac{N_{2} \phi_{B_{2}}}{i_{1}}=\frac{N_{1} \phi_{B_{1}}}{i_{2}}\)

The SI unit of mutual inductance is henry \((\mathrm{H})\) which is also equal to weber per ampere. Therefore,  

\(1 \mathrm{H}=1 \frac{W b}{A}\)

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