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(a) a resistace heating element fed from an AC bus is controlledby an AC ( semi-conductor ) switch with integral half cyclecontrol. the base period is 20 half cycles of the AC supply.determine the number of half cycles for which the AC switch shouldbe gated to bring down the heating power to 30 % of the maximum.

(b) a single phase resistance load is supplied from a 120 V AC busin sereies with phase controlled static AC switch. The firing delayangle is 60 degree. determine the rms value of the load voltage. If we had used integral half cycle control with a base period of 20half cycles, what would be the equvalent numer of on half cyclesfor the same load power.

(c) An AC load circuit consists of a resistance of 30 Ω in sereiswith an inductance of 0.2 H. It is fed from a 120 V, 60 Hz AC source.
determine the conduction interval in half cycle for a firing delay of 100 degree.

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