5 same cells (5V, 1Ω) connected in series and then in parallel with an external resistance R respectively if current in both circuits is equal then find the value of R.
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29/12/2021 1:06 pm
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5 same cells (5V, 1Ω) connected in series and then in parallel with an external resistance R respectively if current in both circuits is equal then find the value of R.
(a) 4 Ω
(b) 3 Ω
(c) 2 Ω
(d) 1 Ω
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29/12/2021 1:11 pm
Correct answer: (d) 1 Ω
Explanation:
i1 = \(\frac{5 \in}{R+5r}i_2\)
= \(\frac{\in}{R+ \frac{r}{5}}\)
ir = iz
\(\frac{5c}{R+5r}\) = \(\frac{\in}{R + \frac{r}{5}}\)
⟹ R = r = 1 Ω
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