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Question: Answered & Verified by Expert
Consider a simple circuit shown in figure stands for a variable resistance $R^{\prime}$. $R^{\prime}$ can vary from $R_0$ to infinity, $r$ is internal resistance of the battery $\left(\mathrm{r} \ll \mathrm{R} \ll \mathrm{R}_0\right)$.

PhysicsCurrent Electricity
Options:
  • A
    Potential drop across $\mathrm{AB}$ is nearly constant as $\mathrm{R}^{\prime}$ is varied
  • B
    Current through $\mathrm{R}^{\prime}$ is nearly a constant as $\mathrm{R}^{\text {' }}$ is varied
  • C
    Current I depends sensitively on $\mathrm{R}^{\text {' }}$
  • D
    $\mathrm{I} \geq \frac{\mathrm{V}}{\mathrm{r}+\mathrm{R}}$ always
Solution:
2712 Upvotes Verified Answer
The correct answers are:
Potential drop across $\mathrm{AB}$ is nearly constant as $\mathrm{R}^{\prime}$ is varied
,
$\mathrm{I} \geq \frac{\mathrm{V}}{\mathrm{r}+\mathrm{R}}$ always
In parallel combination of resistances, the equivalent resistance is smaller than smallest resistance $(R)$ present in combination.
Here, the potential drop is taking place across $\mathrm{AB}$ and $\mathrm{r}$. Since the equivalent resistance of parallel combination of
$R$ and $R^{\prime}$ is always less than $R$, so, $I \geq \frac{V}{r+R}$ always

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