A battery of emf `epsilon_0=10V` is connected across a `1m` long uniform wire having resistance `10Omega//m.` Two cells of emf `epsilon_1=2V` and `epsilon_2=4V` having internal resistance `1Omega` and `5Omega` respectively are connected as shown in the figure. If a galvanometer shows no deflection at the point `P`, find the distance of point `P` from the point `a`.

A battery of emf `epsilon_0=10V` is connected across a `1m` long unifo

1.	A battery of emf `epsilon_0=10V` is connected across a `1m` long uniform wire having resistance `10Omega//m.` Two cells of emf `epsilon_1=2V` and `epsilon_2=4V` having internal resistance `1Omega` and `5Omega` respectively are connected as shown in the figure. If a galvanometer shows no deflection at the point `P`, find the distance of point `P` from the point `a`.
Answer» Correct Answer - `46.67 cm` `E_(eq)=(E_(1)r_(2)+E_(2)r_(1))/(r_(1)+r_(2))=(10+4)/(5+1)=7/3` volt `E_(eq)x.l implies 7/3=10/(10+10)xx10xxl` `l=700/(3xx5)m=46.67 cm`

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