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  • Two batteries of emf ε_1 and ε_2 (ε_2 > ε_1) and internal resistances r_1 and r_2 respectively are connected in parallel as shown in Figure

Two batteries of emf \varepsilon _{1} and \varepsilon _{2}\left ( \varepsilon_ {2}>\varepsilon _{1} \right )and internal resistances r1 and r2 respectively are connected in parallel as shown in Figure.


A. The equivalent emf \varepsilon _{eq} of the two cells is between \varepsilon _{1} and \varepsilon _{2}, i.e. \varepsilon _{1}<\varepsilon _{eq}<\varepsilon _{2}
B. The equivalent emf \varepsilon _{eq} is smaller than 1.
C. The \varepsilon _{eq} is given by \varepsilon _{eq}=1+2always.
D. \varepsilon _{eq} is independent of internal resistances  r1 and r2.

Answers (1)

The correct answer is the option (a)

Explanation: Equivalent EMF in parallel is given as:
\varepsilon _{eq}=\frac{\varepsilon _{1}r_{2}+\varepsilon _{2}r_{1}}{r_{1}+r_{2}}

This value will always lie between  \varepsilon _{1} and \varepsilon _{2}

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