In a Wheatstone's bridge all the four arms have equal resistance R. If the resistance of the galvanometer arm is also R, the equivalent resistance of the combination as seen by the battery is

Five pure inductors each of $3 \mathrm{H}$ are connected as shown in figure. The equivalent inductance of this connection between points $\mathrm{A}$ and $\mathrm{B}$ is _____.

In the circuit given below, it is observed that the current $I$ is independent of the value of resistance $r_6$. Then the resistance values satisfy

In the circuit shown:

In the given circuit, it is observed that the current $I$ is independent of the value of resistance $R_5$. Then, the resistance value must satisfy

In the following circuit, the effective resistance between the points $P$ and $Q$ is

In the circuit shown $P\ne R$, the reading of the galvanometer is same with switch $S$ open or closed, then

The equivalent resistance of the circuit shown below between points $a$ and $b$ is :

The value of current $I$ as shown in the given circuit diagram is

When the value of $R$ in the balanced Wheatstone bridge, shown in the figure, is increased from $5 \mathrm{\Omega }$ to $7 \mathrm{\Omega }$, the value of $S$ has to be increased by $3 \mathrm{\Omega }$ in order to maintain the balance. What are the initial values of $S?$

The current $I$ in the given circuit will be

The value of current ${\mathrm{i}}_1$ flowing from $\mathrm{A}$ to $\mathrm{C}$ in the circuit diagram is :

A battery of $6 \mathrm{V}$ is connected to the circuit as shown below. The current $I$ drawn from the battery is

The equivalent resistance between $A and B$ of the network shown in figure:

he equivalent resistance of the circuit between $A$ and $B$ is