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n identical resistance each having value 10 Ω are connected in series with a battery of emf 20 V & internal resistance 10 Ω.

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n identical resistance each having value 10 Ω are connected in series with a battery of emf 20 V & internal resistance 10 Ω. The current in a circuit is is. If they are connected in parallel to the same source current is ip. If ip = 20 - is then n will be:

(a) 10

(b) 8

(c) 12

(d) 20

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Correct answer: (d) 20

Explanation:

ip = 20 - is

⟹ \(\frac{20}{\frac{10}{n} + 10}\) = 20(\(\frac{20}{10n + 10}\))

⟹ \(\frac{20}{10 + 10n}\) = 20(\(\frac{20}{10n + 10}\))

Therefore, n = 20

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