The self and mutual-inductance of linear conductors . Bulletin of the Bi^reau of Standards. [ Vol. 4, No. 2. Fig. 4a. M=2. [/1o,^±4±^_V/m:Z+^] wliich is the same expression (12) foundby the other method. That process ismore direct and simpler to carry out thanto use Neumanns formula. 5. MUTUAL INDUCTANCE OF TWO LINEAR CON-DUCTORS IN THE SAME STRAIGHT LINE We have found the self-inductance of thefinite linear conductor AB by integratingthe magnetic force due to unit current inAB over the area ABBA, extending tothe right to infinity, equations (3) and (9). In the same way we may find themutual i
The self and mutual-inductance of linear conductors . Bulletin of the Bi^reau of Standards. [ Vol. 4, No. 2. Fig. 4a. M=2. [/1o,^±4±^_V/m:Z+^] wliich is the same expression (12) foundby the other method. That process ismore direct and simpler to carry out thanto use Neumanns formula. 5. MUTUAL INDUCTANCE OF TWO LINEAR CON-DUCTORS IN THE SAME STRAIGHT LINE We have found the self-inductance of thefinite linear conductor AB by integratingthe magnetic force due to unit current inAB over the area ABBA, extending tothe right to infinity, equations (3) and (9). In the same way we may find themutual inductance of the conductors AB ,c s Fig. 5. and BC, lying in the same straight line, by integrating over thearea S2 (extending to infinity) the force due to unit current in AB. Rosa.] Inductance of Linear Conductors. 309 The magnetic force at the point P (of coordinates x^ j, origin atA) due to current i in AB is H,= y y-i x{_^x^+y ^x+{y-l) i] (16) The whole number of lines of force N^ included in the area Sg is X m ;/? log - * ^^ — /^^2 I ^^..2 ;;2 + -v-^ +^^or J/;^ ^/log. ^L__-I-;;2 log-^H-, approximately. (17)
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