Four cells of emf 1.5v and internal resistance 0.5ohm connected in series but one cell is wrongly connected.the net voltage and net internal resistance between A and B is?
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net voltage between A and B will be 3V and net internal resistance between A and B is 2 Ω
given
Four cells of emf 1.5v
internal resistance 0.5ohm
Four cells connected in series
one cell is wrongly connected
to find
net voltage and net internal resistance between A and B
solution
- it is given that one cell is wrongly connected , it means that positive and negative terminals of the battery are interchanged and are different from that of the other three.
- since the cells are connected in series . therefore the total EMF of all the connected cells is
E = e1 + e2 + e3 + e4
E = 1.5 + 1.5 + 1.5 - 1.5
E = 3V
- the resistance of all the cells will be calculated by observing the fact that all the cells are connected in series and their internal resistances are also connected in series .
- therefore the total internal resistance of the cells is given by:
R = r1 + r2 + r3 + r4
R = 0.5 + 0.5 + 0.5 + 0.5
R = 2 Ω
- so the net voltage between A and B will be 3V and the net internal resistance between A and B will be 2Ω.
net voltage between A and B will be 3V and net internal resistance between A and B is 2 Ω
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