I obtain an expression for Eeg and req When number of cells are Connected in parallel
Answers
Answer:
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Answer:
Let ε
1
and ε
2
be the emfs of the two cells connected in parallel.
Let r
1
and r
2
be their intermal resistance respectively
I
1
and I
2
are the currents leaving the positive electrodes of the cells.
At B
1
, currents I
1
and I
2
flow in whereas the current I flows out. Therefore I=I
1
+I
2
Let V
1
and V
2
be the potentials at B
1
and B
2
respectively.
P.d across the first cell is V
1
−V
2
=V=ε
1
−I
1
r
1
P.d across the second cell is also V
1
−V
2
=V=ε
1
−I
1
r
1
Hence I
1
=
r
1
ε
1
−V
and I
2
=
r
2
ε
2
−V
I=I
1
+I
2
=
r
1
ε
1
−V
+
r
2
ε
2
−V
I=
r
1
ε
1
−
r
1
V
+
r
2
ε
2
−
r
2
V
I=(
r
1
ε
1
+
r
1
ε
2
)−V(
r
1
V
+
r
2
V
)
I=
r
1
r
2
ε
1
r
2
+ε
2
r
1
−V(
r
1
r
2
r
1
+r
2
)
V(
r
1
r
2
r
1
+r
2
)=
r
1
r
2
ε
1
r
2
+ε
2
r
1
−I
V(r
1
+r
2
)=ε
1
r
2
+ε
2
r
1
−Ir
1
r
2
V=
r
1
+r
2
ε
1
r
2
+ε
2
r
1
−I(
r
1
+r
2
r
1
r
2
)
If the parallel combination of cell is replaced by a single cell between B
1
and B
2
of emf ε
P
and intermal resistance r
p
then,