A thermistor has a resistance of \( 10\,\text{k}\Omega \) at \( 25^\circ\text{C} \) and \( 1\,\text{k}\Omega \) at \( 100^\circ\text{C} \). The range of operation is \( 0^\circ\text{C} \) to \( 150^\circ\text{C} \). The excitation voltage is 5 V and a series resistor of \( 1\,\text{k}\Omega \) is connected to the thermistor. The power dissipated in the thermistor is: 
If $R_1 = R_2 = R$ and $R_3 = 1.1R_4$ in the bridge circuit shown in figure, then the reading in the ideal voltmeter connected between $a$ and $b$ is:
For the circuit shown in the figure, the active power supplied by the source is ________ W (rounded off to one decimal place).
A signal $V_M = 5\sin(\pi t/3) V$ is applied to the circuit consisting of a switch S and capacitor $C = 0.1 \mu F$, as shown in the figure. The output $V_x$ of the circuit is fed to an ADC having an input impedance consisting of a $10 M\Omega$ resistance in parallel with a $0.1 \mu F$ capacitor. If S is opened at $t = 0.5 s$, the value of $V_x$ at $t = 1.5 s$ will be ________ V (rounded off to two decimal places).
Note: Assume all components are ideal.
In the circuit shown, the switch is opened at $t = 0$ s. The current $i(t)$ at $t = 2$ ms is ________ mA (rounded off to two decimal places).
In the circuit shown, the galvanometer (G) has an internal resistance of $100 \Omega$. The galvanometer current $I_G$ is ________ $\mu A$ (rounded off to the nearest integer).
The circuit given in the figure is driven by a voltage source $V_s = 25\sqrt{2}\angle 30^\circ V$. The system is operating at a frequency of 50 Hz. The transformers are assumed to be ideal. The average power dissipated, in W, in the $50 k\Omega$ resistance is ________ (rounded off to two decimal places).