Two non-ideal batteries are connected in parallel. Consider the following statements: 1. The equivalent emf is smaller than either of the two emfs. 2. The equivalent internal resistance is smaller than either of the two internal resistances. 1. Both A and B are correct. 2. A is correct but B is wrong. 3. B is correct but A is wrong. 4. Both A and B are wrong.

3. B is correct but A is wrong. Explanation: Equivalent emf _0= _1r_1+ _2r_2 r_1+r_2 Equivalent resistance =r_0= r_1r_2 r_1+r_2 The equivalent emf is smaller than either of the two emfs. The equivalent internal resistance is smaller than either of the two internal resistances.

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

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Question

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.

Both A and B are correct.
A is correct but B is wrong.
B is correct but A is wrong.
Both A and B are wrong.

✓

Answer

B is correct but A is wrong.

Explanation:

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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