For the circuit given below,the Kirchhoff's loop rule for the loop $BCDEB$ is given by the equation:

The resistance of each arm of the Wheatstone bridge is $10 \, \Omega$. A resistance of $10 \, \Omega$ is connected in series with a galvanometer. Then, the equivalent resistance across the battery will be:

In the given circuit,calculate the potential difference between points $P$ and $Q$ in $volt$.

If the Wheatstone bridge with four resistors $R_1, R_2, R_3$ and $R_4$ is balanced,then the correct expression is

The heat generated in $1 \text{ minute}$ between points $A$ and $B$ in the given circuit, when a battery of $9 \text{ V}$ with internal resistance of $1 \ \Omega$ is connected across these points, is . . . . . . $J$.

To measure the temperature coefficient of resistivity $\alpha$ of a semiconductor,an electrical arrangement shown in the figure is prepared. The arm $BC$ is made up of the semiconductor. The experiment is being conducted at $25^{\circ} C$ and the resistance of the semiconductor arm $BC$ is $3 \ m\Omega$. Arm $BC$ is cooled at a constant rate of $2^{\circ} C / s$. If the galvanometer $G$ shows no deflection after $10 \ s$,then $\alpha$ is: