When 10 cells in series are connected to the ends of a resistance of 592, the current is found to be 0.25 A, but when the same cells after being connected in parallel are joined to the ends of a 0.052, the current is 25 A. Calculate the internal resistance and emf of each cell. (Ans. 0.112, 1.5 V)
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Answer:
Let emf of each cell =E and internal resistance =r.
For series: E+E=1(r+r+5) (using V=IR)
or 2E=2r+5....(1)
For parallel: E=0.8R
eq
=8(r∣∣r+5)=0.8(
r+r
rr
+5)=0.8(r/2+5)
E=0.4r+4....(2)
From (1) and (2), 0.8r+8=2r+5⇒r=
1.2
3
=5/2=2.5Ω
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