JEE Main On 8 April 2017 Question 23
Question: A 9 V battery with internal resistance of $ 0.5\Omega $ is connected across an infinite network as shown in the figure. All ammeters A1, A2, A3 and voltmeter V are ideal. Choose correct statement. [JEE Online 08-04-2017]
Options:
A) Reading of $ A _1 $ is 18 A
B) Reading of V is 9 V
C) Reading of V is 7 V
D) Reading of $ A _1 $ is 2 A
Show Answer
Answer:
Correct Answer: D
Solution:
- $ x=\frac{4x}{4+x}+2 $ $ x=\frac{8+6x}{4+x} $ $ 4x+x^{2}=8+6x $ $ x^{2}-2x-8=0 $ $ x=\frac{2\pm \sqrt{4-4(1)(-8)}}{2}=\frac{2\pm \sqrt{36}}{2} $ $ =\frac{2\pm 6}{2}=4 $ $ A’=\frac{9}{4+0.5}=2 $ A?= 9
