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A cell can supply current of 0.4 A and 0.2 A through a 4.0Ω and...

Physics
JAMB 2001

A cell can supply current of 0.4 A and 0.2 A through a 4.0Ω and 10.0Ω resistors respectively.
This internal resistance of the cell is

  • A. 2.0Ω
  • B. 1.0Ω
  • C. 2.5Ω
  • D. 1.5Ω
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Correct Answer: Option A
Explanation

let the internal resistance of the cell = r,
therefore E = I (R+r)
(i) E = 0.4(4+r), (ii) E = 0.2 (10+r)
therefore 0.4 (4+r)= 0.2 (10+r)
1.6 + 0.4r = \(2.0 \times 0.2\text{r}\)
0.4r - 0.2r = 2.0 - 1.6
therefore 0.2r = 0.4 => r = \(\frac{0.4}{0.2}\) = 2Ω
therefore r = 2Ω

There is an explanation video available below.


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Explanation Video

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