A half-wave diode rectifier draws power from a single-phase, 240-V, 50-Hz source and delivers to a 3-kW load on the dc side at constant voltage Vdc with a large filter capacitor as shown in the figure below. The ac side harmonics to fundamental current ratios I_h/I₁ in percentage are 80, 40, 10, 6, 4, 3, 1, and 0.5 for the harmonic orders h = 3, 5, 7, 9, 11, 13, 15, and 17, respectively. Determine the rms ripple current in the filter capacitor. Ignore all losses.

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I ac 240 Vrms 50 Hz Vdc I dc 3 kW Load