The electrical energy (in kWh) consumed in operating a bulb of 40 W for 5 hours a day in a month of 30 days is:
First, calculate the total energy consumed by the bulb in a day: $$E_{\text{day}} = P \times t = 40 \, \text{W} \times 5 \, \text{hours} = 200 \, \text{Wh}$$
Next, calculate the total energy consumed in a month of 30 days: $$E_{\text{month}} = E_{\text{day}} \times \text{Number of days} = 200 \, \text{Wh} \times 30 = 6000 \, \text{Wh}$$
Finally, convert the energy from Wh to kWh: $$E_{\text{kWh}} = \frac{6000 \, \text{Wh}}{1000} = 6 \, \text{kWh}$$
Thus, the electrical energy consumed is 6 kWh.
The maximum percentage error in the equivalent resistance of two parallel connected resistors of 100 \( \Omega \) and 900 \( \Omega \), with each having a maximum 5% error, is: \[ {(round off to nearest integer value).} \]
The induced emf in a 3.3 kV, 4-pole, 3-phase star-connected synchronous motor is considered to be equal and in phase with the terminal voltage under no-load condition. On application of a mechanical load, the induced emf phasor is deflected by an angle of \( 2^\circ \) mechanical with respect to the terminal voltage phasor. If the synchronous reactance is \( 2 \, \Omega \), and stator resistance is negligible, then the motor armature current magnitude, in amperes, during loaded condition is closest to: \[ {(round off to two decimal places).} \]
In the Wheatstone bridge shown below, the sensitivity of the bridge in terms of change in balancing voltage \( E \) for unit change in the resistance \( R \), in mV/\(\Omega\), is _____________ (round off to two decimal places).
An ideal low pass filter has frequency response given by
\[ H(j\omega) = \begin{cases} 1, & |\omega| \leq 200\pi \\ 0, & \text{otherwise} \end{cases} \] Let \( h(t) \) be its time domain representation. Then \( h(0) = \underline{\hspace{2cm}} \) (round off to the nearest integer).
Using shunt capacitors, the power factor of a 3-phase, 4 kV induction motor (drawing 390 kVA at 0.77 pf lag) is to be corrected to 0.85 pf lag. The line current of the capacitor bank, in A, is _____________ (round off to one decimal place).