The circuit shown in the figure is initially in the steady state with the switch K in open condition and $$\overline K $$ in closed condition. The switch K is closed and $$\overline K $$ is opened simultaneously at the instant $$t=t_1$$, where $$t_1 > 0$$. The minimum value of $$t_1$$ in milliseconds, such that there is no transient in the voltage across the 100 $$\mu$$F capacitor, is ___________ (Round off to 2 decimal places).
A balanced delta connected load consisting of the series connection of one resistor (R = 15 $$\Omega$$) and a capacitor (C = 212.21 $$\mu$$F) in each phase is connected to three-phase, 50 Hz, 415 V supply terminals through a line having an inductance of L = 31.83 mH per phase, as shown in the figure. Considering the change in the supply terminal voltage with loading to be negligible, the magnitude of the voltage across the terminals $$V_{AB}$$ in Volts is ___________ (Round off to the nearest integer).
The following columns present various modes of induction machine operation and the ranges of slip
| A | B | ||
|---|---|---|---|
| Mode of operation | Range of Slip | ||
| a. | Running in generator mode | p) | From 0.0 to 1.0 |
| b. | Running in motor mode | q) | From 1.0 to 2.0 |
| c. | Plugging in motor mode | r) | From $$-$$1.0 to 0.0 |
The correct matching between the elements in column A with those of column B is
A 10-pole, 50 Hz, 240 V, single phase induction motor runs at 540 RPM while driving rated load. The frequency of induced rotor currents due to backward field is