Two sources of emf 6 V and internal resistance 3 Ω and 2 Ω are connected to an external resistance R as shown. If potential difference across terminal of battery A is zero, then value of R is

Question

Two sources of emf 6 V and internal resistance 3 Ω and 2 Ω are connected to an external resistance R as shown. If potential difference across terminal of battery A is zero, then value of R is (A) 1 Ω (B) 2 Ω (C) 3 Ω (D) 4 Ω

Tardigrade Admin · Accepted Answer

Potential difference across battery ; Δ V=6-3I Given Δ V=0. I=2 ; I=(12/5+R) ⇒ 5 × 2+2 R=12 ⇒ 2 R=2 ⇒ R=1

Q. Two sources of emf $6 V$ and internal resistance $3 Ω$ and $2 Ω$ are connected to an external resistance $R$ as shown. If potential difference across terminal of battery $A$ is zero, then value of $R$ is

$1 Ω$

$2 Ω$

$3 Ω$

$4 Ω$

Potential difference across battery ;
$Δ V = 6 - 3 I$ Given $Δ V = 0$ .
$I = 2; I = \frac{12}{5 + R}$
$\Rightarrow 5 \times 2 + 2 R = 12$
$\Rightarrow 2 R = 2$
$\Rightarrow R = 1$

Q. Two sources of emf 6V and internal resistance 3Ω and 2Ω are connected to an external resistance R as shown. If potential difference across terminal of battery A is zero, then value of R is

1Ω

2Ω

3Ω

4Ω