A single-phase half-wave AC voltage controller shown below feeds a load R=20Ω with an input voltage of 230 V, 50 Hz. Firing angle of thyristor is 45°. Determine,
a) RMS value of output voltage.
b) Power delivered to load and input power factor.
c) Average input current.
d) For 6 cycles on and 4 cycles off, determine rms value of output voltage using on-off control technique.