Two identical cells each of emf 1 . 5 V are connected in series across a 10 Ω resistance. An ideal voltmeter connected across 10 Ω resistance reads 1 . 5 V . The internal resistance of each cell is __

Question

Two identical cells each of emf 1 . 5 V are connected in series across a 10 Ω resistance. An ideal voltmeter connected across 10 Ω resistance reads 1 . 5 V . The internal resistance of each cell is _____ Ω .

TestHub · Accepted Answer

Let R 1 = 10 Ω . Using V = i R i = 3 10 + 2 r The voltmeter reading is V ' = 1 . 5 V . Thus, i R 1 = V ' ⇒ 10 × 3 10 + 2 r = 1 . 5 ⇒ 20 = 10 + 2 r ⇒ 2 r = 10 ⇒ r = 5 Ω

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