1.

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

Answer»

`11.6 V and 11.7 V `
`11.5 V and 11.6 V `
11.4 V and 11.5 V
11.7 V and 11.8 V

Solution :11.5 V and 11.6 V
`E_(1) = 12 V, r_(1) = 1 Omega , R = 10 Omega`
`E_(2) = 13 V, r_(2) = 2 Omega`,
`I = ((E_(2))/(r_(1)) + (E_(2))/(r_(2)) )/(1 + (R)/(r_(1)) + (R)/(r_(2)))= ((12)/(5) + (13)/(2))/(1 + (10)/(1) + (10)/(2))`
`therefore I = (12 + 6 - 5)/(1 + 10 + 5) = (18 - 5)/(16)`
`therefore I = 1.156 ` A
`therefore V = IR `
= `1.156 xx 10`
`= 11.56 ` V
` therefore ` THUS it is between V = 11.5 V and V = 11.6 V


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