Question

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

(A) The equivalent emf is smaller than either of the two emfs.

(B) The equivalent internal resistance is smaller than either of the two internal resistances.

पर्याय

• A and B are correct

• A is correct but B is wrong

• B is correct but A is wrong

• A and B are wrong

Answer 1

B is correct but A is wrong

 

The equivalent emf \[\epsilon_0,\] when two non-ideal batteries of emfs \[\epsilon_1\] and \[\epsilon_2\] and internal resistances r₁ and r₂ respectively are connected in parallel to each other, is given by:-

\[\epsilon_0  = \frac{\epsilon_1 r_1 + \epsilon_2 r_2}{r_1 + r_2}\]

Thus, the equivalent emf is greater than either of the emfs. Thus, statement A is wrong.

For the parallel combination of the batteries of internal resistance r₁ and r₂, the equivalent internal resistance r is given as

\[r = \frac{r_1 r_2}{r_1 + r_2}\]

Thus, the value of the resultant resistance is even smaller than either resistance.