Assume that in a traffic junction, the cycle of the traffic signal lights is $$2$$ minutes of green (vehicle does not stop) and $$3$$ minutes of red (vehicle stops). Consider that the arrival time of vehicles at the junction is uniformly distributed over $$5$$ minute cycle. The expected waiting time (in minutes) for the vehicle at the junction is _________.

A phase-controlled, single-phase, full-bridge converter is fed from a $$230$$ $$V,$$ $$50$$ $$Hz,$$ $$AC$$ source. The fundamental frequency in $$Hz$$ of the voltage ripple on the $$DC$$ side is

In the circuit shown, the diodes are ideal, the inductance is small, and $${{\rm I}_0} \ne 0.$$ Which one of the following statements is true?

The figure below shows the circuit diagram of a controlled rectifier supplied from a $$230V,$$ $$50$$ $$Hz,$$ $$1$$-phase voltage source and a $$10:1$$ ideal transformer. Assume that all devices are ideal. The firing angles of the thyristors $${T_1}$$ and $${T_2}$$ are $${90^ \circ }$$ and $${270^ \circ },$$ respectively.

The $$RMS$$ value of the current through diode $${D_3}$$ in amperes is ________________.