The value of unknown resistance $\mathrm{X}$ for which the potential difference between $\mathrm{B}$ and $\mathrm{D}$ will be zero in arrangement of given figure 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 following circuit, the effective resistance between the points $P$ and $Q$ is

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

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

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 $S?$

In the circuit shown:

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

The current $I$ in the given circuit will be

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 _____.

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

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