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  4. A potentiometer arrangement is shown in figure. The driver cell has emf E and internal resistance r. The resistance of potentiometer wire A B is R . F is the cell of emf E / 3 and internal resistance r / 3. Balance point (J) can be obtained for all finite values of

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Q. A potentiometer arrangement is shown in figure. The driver cell has emf $E$ and internal resistance $r$. The resistance of potentiometer wire $A B$ is $R . F$ is the cell of emf $E / 3$ and internal resistance $r / 3$. Balance point $(J)$ can be obtained for all finite values ofPhysics Question Image

Current Electricity

Solution:

Current in $A B=I=\frac{E}{R+r}$
Potential difference across $A B=I R=\frac{E R}{R+r}$
To obtain balanced point, $\frac{E R}{R+r}>\frac{E}{3}$
or $R >r / 2$