566
12 Electric Circuits
Applying the loop theorem to the loop BCDB, which also does not have
an emf
(i 1 − i g )Q − i g G − (i 2 − i g )s = 0
( 6 )
Combining (4), (5) and (6)
i g
i
=
Q R − P S
G(Q + S) + (P + R) (G + Q + S)
Note that i g = 0 if Q R − P S = 0, which is identical with the condition (3).
12.34 Apply the junction theorem to obtain currents in various branches as indicated in Fig. 12.41. Current flowing through the ammeter is 6 A.
Fig. 12.41
12.35 Let the internal resistance of each battery be r , galvanometer resistance G
and the external resistance R. Then in the series arrangement, total resistance
in the circuit (Fig. 12.42)
Fig. 12.42
12 Electric Circuits
Applying the loop theorem to the loop BCDB, which also does not have
an emf
(i 1 − i g )Q − i g G − (i 2 − i g )s = 0
( 6 )
Combining (4), (5) and (6)
i g
i
=
Q R − P S
G(Q + S) + (P + R) (G + Q + S)
Note that i g = 0 if Q R − P S = 0, which is identical with the condition (3).
12.34 Apply the junction theorem to obtain currents in various branches as indicated in Fig. 12.41. Current flowing through the ammeter is 6 A.
Fig. 12.41
12.35 Let the internal resistance of each battery be r , galvanometer resistance G
and the external resistance R. Then in the series arrangement, total resistance
in the circuit (Fig. 12.42)
Fig. 12.42