In the given circuit,the current $I_1$ is .............. $A$.

Find the equivalent resistance between points $A$ and $B$ for the given circuit.

Three resistances $P, Q, R$ each of $2 \,\Omega$ and an unknown resistance $S$ form the four arms of a Wheatstone bridge circuit. When a resistance of $6 \,\Omega$ is connected in parallel to $S$,the bridge gets balanced. What is the value of $S$ in $\Omega$?

In the balanced condition,the values of the resistances of the four arms of a Wheatstone bridge are shown in the figure below. The resistance $R_3$ has a temperature coefficient of $0.0004 \ {}^{\circ}C^{-1}$. If the temperature of $R_3$ is increased by $100 \ {}^{\circ}C$,the voltage developed between $S$ and $T$ will be. . . . . . . volt.

In the circuit shown,the current in the $1\,\Omega$ resistor is

The galvanometer shows no deflection. What is the value of the resistance $x$ in $\Omega$?