The total length of the potentiometer wire $AB$ is $50 \text{ cm}$ in the arrangement as shown in the figure. If $P$ is the point where the galvanometer shows zero reading,then the length $AP$ is . . . . . . $\text{ cm}$.

Calculate the current in wire $BD$ in the given circuit. (in $, A$)

The figure shows a network of five resistances and two batteries. The current through the $30\,V$ battery is ............... $A$.

Consider the following statements regarding the network shown in the figure.
$(1)$ The equivalent resistance of the network between points $A$ and $B$ is independent of the value of $G$.
$(2)$ The equivalent resistance of the network between points $A$ and $B$ is $\frac{4}{3} R$.
$(3)$ The current through $G$ is zero.
Which of the above statements is/are true?

If in the experiment of Wheatstone's bridge,the positions of cells and galvanometer are interchanged,then the balance point will

The figure shows a circuit diagram of a 'Wheatstone Bridge' to measure the resistance $G$ of the galvanometer. The relation $\frac{P}{Q} = \frac{R}{G}$ will be satisfied only when