INDUCTORS AND INDUCTANCE
INDUCTORS AND INDUCTANCE
INDUCTORS AND INDUCTANCE
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PHY110W MAGNETISM <strong>INDUCTANCE</strong><br />
<strong>INDUCTANCE</strong> OF A SOLENOID<br />
l<br />
B <br />
For a long solenoid of cross-sectional area A, with n<br />
turns per metre, the magnetic field near its centre is<br />
given by<br />
B<br />
=<br />
µ ni<br />
0<br />
and the flux linkage for this section of the solenoid is<br />
NΦ = ( nl )( BA)<br />
Hence the inductance per unit length of a solenoid is<br />
L<br />
l<br />
2<br />
=<br />
NΦ<br />
= µ 0nA<br />
(31-33)<br />
il<br />
Note that, just as for capacitance, inductance depends<br />
only on the geometry of the device.<br />
31
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