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

         

1.	\(-{i}_2 {R}_2+{E}_2-{E}_3+{i}_3{R}_1=0\)
2.	\({i}_2{R}_2+{E}_2-{E}_3-{i}_3 {R}_1=0\)
3.	\({i}_2 {R}_2+{E}_2+{E}_3+{i}_3 {R}_1=0\)
4.	\(-{i}_2 {R}_2+{E}_2+{E}_3+{i}_3{R}_1=0\)

The equivalent resistance between \(A\) and \(B\) for the mesh shown in the figure is:

Two solid conductors are made up of the same material and have the same length and the same resistance. One of them has a circular cross-section of area \(  𝐴 _1\) and the other one has a square cross-section of area \(A_2.\) The ratio of \(𝐴 _1 / 𝐴 _2  \) is:

For the circuit shown in the figure, the current \(I\) will be:

What is the average drift speed of conduction electrons in a copper wire of cross-sectional area $1.0\times {10}^{-7} {\mathrm{m}}^2$ carrying a current of 1.5 A? Assume that each copper atom contributes roughly one conduction electron. The density of copper is $9.0\times {10}^3 \mathrm{kg}/{\mathrm{m}}^3,$ and its atomic mass is 63.5 u. 

$1. 1.1 \mathrm{mm} {\mathrm{s}}^{-1}$
$2. 2.1 \mathrm{mm} {\mathrm{s}}^{-1}$
$3. 3.1 \mathrm{mm} {\mathrm{s}}^{-1}$
$4. 4.1 \mathrm{mm} {\mathrm{s}}^{-1}$

An electric toaster uses nichrome for its heating element. When a negligibly small current passes through it, its resistance at room temperature (27.0 °C) is found to be 75.3 Ω. When the toaster is connected to a 230 V supply, the current settles, after a few seconds, to a steady value of 2.68 A. What is the steady temperature of the nichrome element? The temperature coefficient of resistance of nichrome averaged over the temperature range involved is 1.70 × 10^–4 °C^–1

^{$1. {827}^0 C$
$2. {820}^0 C$
$3. {847}^0 C$
$4. {800}^0 C$}

The resistance of the platinum wire of a platinum resistance thermometer at the ice point is 5 Ω and at the steam point is 5.23 Ω. When the thermometer is inserted into a hot bath, the resistance of the platinum wire is 5.795 Ω. The temperature of the bath is:

$1. 300.{20}^{0}C$
$2. 345.{65}^{0}C$
$3. 320.{20}^{0}C$
$4. 400.{12}^{0}C$

A network of resistors is connected to a 16 V battery with an internal resistance of $1\Omega$, as shown in the figure. The equivalent resistance of the network is:

$1. 4\Omega$
$2. 5\Omega$
$3. 7\Omega$
$4. 2\Omega$

A network of resistors is connected to a 16 V battery with an internal resistance of $1 \Omega$, as shown in the figure. The current in $1 \Omega$ resistor between B and C will be:

$1. 4 A$
$2. 2 A$
$3. 1 A$
$4. 3 A$

A network of resistors is connected to a 16 V battery with an internal resistance of $1 \Omega$, as shown in the figure. The voltage drop across AB is:

1. 2 V

2. 25 V

3. 4 V

4. 6 V