First slide

KVL

Question

In the circuit shown in Fig, $R_{3}$ is a variable resistance. As the value $R_{3}$ is changed, current I through the cell varies as shown. Obviously, the variation is asymptotic, i.e., I ➔ 6A as $R_{3} \to \infty$ . Resistances $R_{1} and R_{2}$ are, respectively :

Difficult

A

$4 Ω, 2 Ω$
B

$2 Ω, 4 Ω$
C

$2 Ω, 2 Ω$
D

$1 Ω, 4 Ω$

Solution

From given situation
$\frac{36}{R_{1} + R_{2}} = 9 and \frac{36}{R_{1} + 2 R_{2}} = 6$
$\Rightarrow R_{2} = 2 Ω and R_{1} = 2 Ω$

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