A square metal wire loop $PQRS$ of side $10 \mathrm{cm}$ and resistance $1 \mathrm{\Omega }$ is moved with a constant velocity $v_{\mathrm{c}}$ in a uniform magnetic field of induction $B=2\mathrm{ }\mathrm{W}\mathrm{b}‐{\mathrm{m}}^{-2}$, as shown in the figure. The magnetic field lines are perpendicular to the plane of the loop (directed into the paper). The loop is connected to a network $ABCD$ of resistors each of value $3 \mathrm{\Omega }$. The resistance of the lead wires $SB$ and $RD$ are negligible. The speed of the loop so as to have a steady current of $1 \mathrm{mA}$ in the loop 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