GATE 2023 Electric Circuits Quiz 4

Consider a circuit shown below,

At steady state, the current through resistor is given by 15cost and the voltage across the inductor is 2Sint. The RMS value of the current through the capacitor is

A factory draws 100 kW at 0.8 p.f. lagging from a 3-phase, 11 kV supply. It is desired to raise the p.f. to unity using capacitor bank. The total power rating of the capacitor bank is

In the figure given below see phasors are with reference O. The locus of voltage V_xy infinity is shown by.

Consider a circuit as shown in figure below:

Where,  (means there are two sources acting in the circuit). Then which of the following statement is/are correct with respect to the circuit shown above?

_______ μF capacitance C must be provided by the capacitor bank in the figure given below to improve the power factor to 0.95 lagging, frequency is 50 Hz.