Find the emf and internal resistanc...
Question
Find the emf and internal resistance of a single battery which is equivalent to a combination of three batteries with emf and internal resistance as shown in figure.
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Find the emf and internal resistance of a single battery which is equivalent to a combination of three batteries with emf and internal resistance as shown in figure.
( mathbf{A} quad 0 mathrm{V,} 2Omega)
B ( quad 0 mathrm{V}, 2 Omega )
( mathrm{C} quad 3 mathrm{V}, 2 Omega )
D ( 9 mathrm{V}, 2 Omega )

JEE/Engineering Exams
Physics
Solution
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Find the emf and internal resistance of a single battery which is equivalent to a combination of three batteries with emf and internal resistance as shown in figure.
Fullscreen

For parallel bafferics
[
begin{aligned}
E_{n v t} &=frac{varepsilon_{1}}{gamma_{1}}-frac{varepsilon_{2}}{gamma_{2}}=frac{frac{10}{2}-frac{4}{2}}{frac{1}{gamma_{1}}+frac{1}{gamma_{2}}}
&=3 mathrm{V}
end{aligned}
]
[
begin{array}{c}
r_{n e t}=1 Omega
6 v_{12}
left|1-m_{2}-1right|
end{array}
]
( parallel resistainus)
( Rightarrow quad E_{e q}=6-3=3 V )
[
r_{n e t}=1+1=2 Omega
]
Option ( c )

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