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Question: Two batteries of emf 4V and 8V with internal resistance 1Ω and 2Ω are connected in a circuit with re...

Two batteries of emf 4V and 8V with internal resistance 1Ω and 2Ω are connected in a circuit with resistance of 9Ω as shown in figure. The current and potential difference between the points P and Q are -

A

13\frac{1}{3}A and 3V

B

16\frac{1}{6}A and 4V

C

19\frac{1}{9}A and 9V

D

112\frac{1}{12}A and 12V

Answer

13\frac{1}{3}A and 3V

Explanation

Solution

i = 49+3=13A\frac{4}{9 + 3} = \frac{1}{3}A ⇒ VP – VQ = 13\frac{1}{3} × 9 = 3 volt