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INDUCTORS AND INDUCTANCE

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PHY110W MAGNETISM <strong>INDUCTANCE</strong><br />

MUTUAL INDUCTION<br />

To distinguish it from self-induction, the induction of an<br />

emf in another nearby coil (caused by changing current<br />

– and hence changing magnetic flux) in a coil is better<br />

referred to as mutual induction.<br />

The mutual inductance M 21 of coil 2 with respect to<br />

coil 1 is given by<br />

M<br />

21<br />

N<br />

Φ<br />

2 21<br />

= (31-62)<br />

i1<br />

and hence the emf induced in coil 2 due to the<br />

changing current in coil 1 is<br />

di<br />

=−M dt<br />

1<br />

E 2 21<br />

(31-63)<br />

Similarly,<br />

di<br />

=−M dt<br />

2<br />

E 1 12<br />

(31-64)<br />

where<br />

M<br />

12<br />

=<br />

N Φ<br />

i<br />

1 12<br />

2<br />

But actually M 12 = M 21 = M (31-65)<br />

SI unit:<br />

(as for self-induction)<br />

the henry, H [1 H = 1 T.m 2 /A]<br />

37

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