Two identical cells connected in series send 1.0A current through a 5 Ω resistor. When they are connected in parallel, they send 0.8 A current through the same resistor. What is the internal resistance of the cell?
(a) 0.5 Ω
(b) 1.0 Ω
(c) 1.5 Ω
(d) 2.5 Ω
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Answer:
D) 2.5Ω
Explanation:
Let the emf of each cells be = E
Internal resistance = r
In a series combination by applying kvl -
2E = 10(2r+5) - eq 1
In parallel combination applying kvl will be given as -
ip = E1+E2/r+2R
8 = 2E/(r+2×5)
= 2E = 8(r+2×5) - eq 2
Using equation 1 and 2
= 10(2r+5) = 8(r+2×5)
= 2.5 Ω
Therefore the internal resistance of the cell is 2.5 Ω
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