Current Electricity Charging Discharging Of Capacitors Question 624

Question: Two batteries of e.m.f. 4V and 8 V with internal resistances 1 W and 2 W are connected in a circuit with a resistance of 9 W as shown in figure. The current and potential difference between the points P and Q are

[AFMC 1999]

Options:

A) $ \frac{1}{3}A\text{and },3V $

B) $ \frac{1}{6}A\text{and},4V $

C) $ \frac{1}{9}A\text{and},\text{ 9}V $

D) $ \frac{1}{2}A\text{and}12V $

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Answer:

Correct Answer: A

Solution:

Applying Kirchoff’s voltage law in the given loop. $ -2i+8-4-1\times i-9i=0 $

Therefore $ i=\frac{1}{3}A $ Potential difference across PQ $ =\frac{1}{3}\times 9=3V $