The $$SCR$$ in the circuit shown has a latching current of $$40$$ $$mA.$$ A gate pulse of $$50$$ $$\mu s$$ is applied to the $$SCR$$. The maximum value of $$R$$ in $$\Omega $$ to ensure successful firing of the $$SCR$$ is ____________.

A step-up chopper is used to feed a load at $$400$$ $$V$$ $$dc$$ from a $$250$$ $$V$$ $$dc$$ source. The inductor current is continuous. If the ‘off’ time of the switch is $$20\,\,\mu s,$$ the switching frequency of the chopper in $$kHz$$ is ________.

A single-phase $$SCR$$ based $$ac$$ regulator is feeding power to a load consisting of $$5\,\,\Omega $$ resistance and $$16$$ $$mH$$ inductance. The input supply is $$230$$ $$V,$$ $$50$$ $$Hz$$ $$ac.$$ The maximum firing angle at which the voltage across the device becomes zero all throughout and the $$rms$$ value of current through $$SCR,$$ under this operating condition, are

A single phase induction motor draws $$12MW$$ power at $$0.6$$ lagging power. A capacitor is connected in parallel to the motor to improve the power factor of the combination of motor and capacitor to $$0.8$$ lagging. Assuming that the real and reactive power drawn by the motor remains same as before, the reactive power delivered by the capacitor in MVAR is _______ .