Answer to Question #142917 in Electrical Engineering for ahmet

Question

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.

Answer 1

Input voltage (rms value) $=120V$

Load resistance value $=10\varOmega$

a) Average voltage output is given

$V_o = \frac{V_m}{\pi}= \frac{120\times \sqrt{2}}{\pi} = 54.02V$

Average load current is given by

$I_o = \frac{V_o}{R} =\frac{54.02}{10}=5.4A$

b) Effective voltage or rms voltage output

$V_r = \frac{V_m}{2}=\frac{120\times\sqrt{2}}{2}=84.85V$

Effective output current

$I_r =\frac{V_r}{R}=\frac{84.85}{10}=8.5A$