Question #142917
With an uncontrolled 1-phase half-wave rectifier with a phase voltage of 120 V.
A 10 Ω load is fed. Neglecting circuit losses,
a) Find the output voltage and current.
b) Find the effective phase current.
1
Expert's answer
2020-11-09T14:18:46-0500

Input voltage (rms value) =120V=120V


Load resistance value =10Ω=10\varOmega


a) Average voltage output is given


Vo=Vmπ=120×2π=54.02VV_o = \frac{V_m}{\pi}= \frac{120\times \sqrt{2}}{\pi} = 54.02V


Average load current is given by


Io=VoR=54.0210=5.4AI_o = \frac{V_o}{R} =\frac{54.02}{10}=5.4A


b) Effective voltage or rms voltage output


Vr=Vm2=120×22=84.85VV_r = \frac{V_m}{2}=\frac{120\times\sqrt{2}}{2}=84.85V


Effective output current


Ir=VrR=84.8510=8.5AI_r =\frac{V_r}{R}=\frac{84.85}{10}=8.5A


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