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142
THE QUANTUM
[x-3
L^j = the number of magnetic tubes threading through
circuit No. 1 due to its own current.
L z i 2 — the corresponding number of tubes for circuit No. 2.
M 12 i! = the number of tubes threading through circuit No. 2
due to the current in circuit No. 1.
M 12 * a = the number of tubes threading through circuit No. 1
due to the current in circuit No. 2.
The magnetic tubes may be grouped together in various different
ways which may be illustrated more clearly by a purely dia
grammatic scheme such as that illustrated in Fig. 22.
Fig. 22.—Magnetic Tubes for two Current Circuits.
The two current circuits I and II are shown in black. In this case
N x , the number of tubes linked only with circuit I is 2,
N 2 , the number of tubes linked only with circuit II is 3,
N 12 , the number of tubes linked with both circuits is 2,
n x , the total number of tubes linked with circuit I is 4,
n 2 , the total number of tubes linked with circuit II is 5,
whilst the total number of tubes in the diagram is 7.
The total number of tubes linked with the first circuit is
rij = Li*! + M 12 i a . . (4 in Fig. 22)
The total number of tubes linked with the second circuit is
n 2 = L 2 « 2 + Mjaij . . (5 in Fig. 22)
Again, the number, N l5 of tubes linked only with circuit No. i
is the difference between the number of tubes passing through
circuit No. 1 due to its own current, and the number passing
through circuit No. 2 due to the current in circuit No. i, i.e.
N x = L^'i — M 12 i! . . (2 in Fig. 22)
In the same way the number of tubes linked only with circuit
No. 2 is
N a = L 2 i' a . . (3 in Fig. 22)