E
is the emf of a battery
r
is the internal resistance which sends currents
1 2 I ,I R ,R1 2
are external resistances
Current
1
I
can be written as:
1
1
E
I
R r
E I (R r) 1 1
……(1)
Similarly,
E I (R r) 2 2 ……(2)
From equations
(1)
and
(2) 1 1 2 2 I (R r) I (R r) 2 1 1 1 2 2 I r I r I R I R r I I I R I R 2 1 1 1 2 2