Two non-ideal batteries are connected in parallel. Consider the f… - Vidyadip

MCQ

Two non$-$ideal batteries are connected in parallel. Consider the following statements:

The equivalent emf is smaller than either of the two emfs.
The equivalent internal resistance is smaller than either of the two internal resistances.

A
Both $A$ and $B$ are correct.
B
$A$ is correct but $B$ is wrong.
✓
$B$ is correct but $A$ is wrong.
D
Both $A$ and $B$ are wrong.

✓

Answer

Correct option: C.

$B$ is correct but $A$ is wrong.

Equivalent emf $\in_0=\frac{\in_1\text{r}_1+\in_2\text{r}_2}{\text{r}_1+\text{r}_2}$

Equivalent resistance $=\text{r}_0=\frac{\text{r}_1\text{r}_2}{\text{r}_1+\text{r}_2}$
$\phi$ The equivalent emf is smaller than either of the two emfs.
$\phi$ The equivalent internal resistance is smaller than either of the two internal resistances.

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