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Question

# Two batteries with e.m.f. 12V and 13V are connected in parallel across a load resistor of 10Ω. The internal resistance of the two batteries are 1Ω and 2Ω respectively. The voltage across the load lies between.

A
11.4V and 11.5V
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B
11.7V and 11.8V
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C
11.6V and 11.7V
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D
11.5V and 11.6V
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Solution

## The correct option is D 11.5V and 11.6VEquivalent resistance of r1 and r2, req=1×21+2=0.66ΩEquivalent emf of E1 and E2, Eeq=[E1r1+E2r2]req⟹ Eeq=[121+132]×0.66=12.33 VPotential across R, VR=RR+reqEeq⟹ VR=1010+0.66×12.33=11.57 V

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