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Two batteries with emf 12 V and 13V are ...

Two batteries with emf 12 V and 13V are connected in parallel across a load resistor of `10Omega` . The internal resistances of the two batteries are `1Omega and 2Omega` respectively . The voltage across the load lies between

A

`11.4V and 11.5V`

B

`11.7V and 11.8V`

C

`11.6V and 11.7V`

D

`11.5V and 11.6V`

Text Solution

Verified by Experts

The correct Answer is:
D
Applying Kirchhoff's second lalw ,
`12-xxx1-10(x+y)=0` [ x and y are currents ]
or , `12=11x+10y" " (1)`
Similarly , `13=10x+12y`
From equation (1) and (2) we get ,
`x=(7)/(16)a,y=(23)/(32)A`
`thereforeV=10((7)/(16)+(23)/(32))`
=11.56V
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