MCQ
Consider a simple circuit shown in Fig. stands for a variable resistance R'. R' can vary from R0 to infinity. r is internal resistance of the battery (r < < R < < R0).
  • A
    Potential drop across AB is nearly constant as R' is varied.
  • B
    Current through R' is nearly a constant as R' is varied.
  • C
    Current I depends sensitively on R'.
  • D
    $\text{I}\geq\frac{\text{V}}{\text{r}+\text{R}}$ always.

Answer

  1. Potential drop across AB is nearly constant as R' is varied.
  1. $\text{I}\geq\frac{\text{V}}{\text{r}+\text{R}}$ always.

Solution:

Key concept: Parallel grouping

Same potential difference appeared across each  resistance but current distributes in the reverse ration of their resistance, i.e. $\text{i}\propto\frac{\text{l}}{\text{R}}$

In this problem, the potential drop is taking place across AB and r. Since the equivalent resistance of parallel combination of R and R' is always less than R, therefore current will be greater than or equal to $\text{I}\geq\frac{\text{V}}{\text{r}+\text{R}}$ always.

Important poin: in parallel combination of resistances, the equivalent resistance is smaller than smallest resistance present in combination.

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