A 9 V battery with internal resistance of 0.5 Ω is connected across an infinite network as shown in the figure. All ammeters A1, A2, A3 and voltmeter V are ideal. Choose correct statement.

Question

A 9 V battery with internal resistance of 0.5 Ω is connected across an infinite network as shown in the figure. All ammeters A1, A2, A3 and voltmeter V are ideal. Choose correct statement. (A) Reading of A1 is 2 A (B) Reading of A1 is 18 A (C) Reading of V is 9 V (D) Reading of V is 7 V

Tardigrade Admin · Accepted Answer

x = (4x/4+x)+2 x = (8+6x/4+x) 4x + x2 = 8 + 6x x2 - 2x - 8 = 0 x = (2±√4-4(1)(-8)/2) = (2±√36/2) = (2±6/2) = 4 A' = (9/4+0.5) = 2 A' = 9

Q. A $9 V$ battery with internal resistance of $0.5 Ω$ is connected across an infinite network as shown in the figure. All ammeters $A_{1}, A_{2}, A_{3}$ and voltmeter $V$ are ideal.
Choose correct statement.

Reading of $A_{1}$ is 2 A

Reading of $A_{1}$ is 18 A

Reading of V is 9 V

Reading of V is 7 V

$x = \frac{4 x}{4 + x} + 2$
$x = \frac{8 + 6 x}{4 + x}$
$4 x + x^{2} = 8 + 6 x$
$x^{2} - 2 x - 8 = 0$
$x = \frac{2 \pm 4 - 4 ( 1 ) ( - 8 )}{2} = \frac{2 \pm 36}{2}$
$= \frac{2 \pm 6}{2} = 4$
$A^{'} = \frac{9}{4 + 0.5} = 2$
$A^{'} = 9$

Q. A 9V battery with internal resistance of 0.5Ω is connected across an infinite network as shown in the figure. All ammeters A1​,A2​,A3​ and voltmeter V are ideal. Choose correct statement.

Reading of A1​ is 2 A

Reading of A1​ is 18 A