The value of parameters of the circuit shown in the figure are

$${R_1} = 2\Omega ,{R_2} = 2\Omega ,{R_3} = 3\Omega ,L = 10$$ mH, $$C = 100$$ $$\mu$$F

For time t < 0, the circuit is at steady state with the switch 'K' in closed condition. If the switch is opened at t = 0, the value of the voltage across the inductor (V$$_L$$) at t = 0$$^+$$ in Volts is ___________ (Round off to 1 decimal place).

For the circuit shown in the figure, $$V_1=8$$ V, DC and $$I_1=8$$ A, DC. The voltage $$V_{ab}$$ in Volts is __________ (Round off to 1 decimal place).

A 3-phase, star-connected, balanced load is supplied from a 3-phase, 400 V (rms), balanced voltage source with phase sequence R-Y-B, as shown in the figure. If the wattmeter reading is $$-$$400 W and the line current is $$I_R=2$$ A (rms), then the power factor of the load per phase is

For the circuit shown, if $$i = \sin 1000t$$, the instantaneous value of the Thevenin's equivalent voltage (in Volts) across the terminals a-b at time t = 5 ms is __________ (Round off to 2 decimal places).