Physics Current Electricity Kirchhoff's Law, EMF of The Cells, Internal Resistance MCQ (Single Correct)

Two batteries of emf and and internal resistances and respectively are connected in parallel as shown in figure.

A
The equivalent emf of the two cells is between and and i.e. .
B
The equivalent emf is smaller than
C
The is given by = always.
D
is independent of internal resistances and

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The correct answer is:
A

The equivalent emf of the two cells is between and ,

The cells of emf and with internal resistance and respectively.
In parallel combination, the relation between equivalent emf and equivalent resistance is,

The resistance in parallel combination is,

From the above equation,

In question,

Then The equivalent emf of two cell is between and .

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