Question: Q. 12. Two cells of emfs 1.5 V and 2.0 V having internal resistances 0.2Ω and 0.3Ω respectively are connected in parallel. Calculate the emf and internal resistance of the equivalent cell.

A [Delhi I, II, III 2016]

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Solution:

Ans.

$$ \text { E.M.F., } \begin{aligned} E & =\frac{\mathrm{E}{1} r{2}+\mathrm{E}{2} r{1}}{r_{1}+r_{2}} \ & =\frac{(1.5 \times 0.3)+(2 \times 0.2)}{0.2+0.3} \end{aligned} $$

=0.45+0.40.5 =1.7 V

Internal Resistance,

r=r1r2r1+r2 =0.2×0.30.2+0.3=0.060.5

(1)=0.12Ω

[CBSE Marking Scheme 2016]



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