two identical cells either in series or in parallel combination gives the same current of o.5 ampere, through external resistance of 4 ohms . find the emf and internal resistance of each cell
Answers
Answer:
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Explanation:
Let voltage of each cell is = E, internal reistance of each cell is = r
When cells are in series-
Effective voltage of circuit = E+E=2E
And effective resistance of circuit = r+r+2=2(1+r)
Current I
1
=
(1+r)
E
When cells are in parallel-
Effective voltage of circuit = E
Effective resistance of circuit = r∣∣r+2 =
2
r
+2=
2
r+4
Current I
2
=
r+4
2E
As I
1
=I
2
⟹
(1+r)
E
=
(r+4)
2E
⟹r=2Ω
Let voltage of each cell is = E, internal resistance of each cell is = r
When cells are in series-
Effective voltage of circuit = E+E=2E
And effective resistance of circuit = r+r+2=2(1+r)
Current I
1
=
(1+r)
E
When cells are in parallel-
Effective voltage of circuit = E
Effective resistance of circuit = r∣∣r+2 =
2
r
+2=
2
r+4
Current I
2
=
r+4
2E
As I
1
=I
2
⟹
(1+r)
E
=
(r+4)
2E
⟹r=2Ω
Answer:
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